A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC, measures of the right triangles are 35, 90 and 55.
What is a triangle?A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All the triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses the triangles in Euclidean geometry, namely the Euclidean plane.
Which is the smallest angle, which is the right angle, and which is the third angle of the triangle are the three inner angles (A, B, C) of a right angled triangle.
sum of the interior angles of a triangle = 180
ratio 7:18:11
so
7+18+11 = 36
180 / 36 = 5
7 x 5 = 35
18 x 5 = 90
11 x 5 = 55
measures of the right triangles are 35, 90 and 55
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PLSSSS HELPPPP
ABCD is a rectangle. Trapezoid AEFB is congruent to
A
trapezoid CFED. G is the midpoint of segment EF.
E
Select all the ways we could describe the rigid transformation that takes AEFBto CFED.
Answer:
Rotate AEFB 180 degrees counterclockwise around point G
Rotate AEFB 180 degrees clockwise around point G
Translate AEFB by the directed line segment from F to E, and then rotate 180 degrees clockwise around point E.
Step-by-step explanation:
The point (-4, 482) is on the graph of y = 6f [-(x - 5)] -4. What is the original point on
y = f(x).
In a point-to-point graph, also known as a line graph, particular values of a function are represented graphically by dots on a coordinate plane. Straight lines connect adjacent pairs of dots.
How may a point be located on a graph?Choose x and work out the equation for y, or, to locate points on the line y = mx + b. Decide on y, then find x.
Can Desmos be used to plot points?Depending on your preference, you can plot points one at a time, a few on a line, or all at once in a table. Start with the video on the right before continuing to the resources and challenges below to learn more.
The point (-4, 482) is located on the y=6f[-(x-5)] graph. -4 What is the fundamental idea behind y=f(x).
If x=-4 and y=482 are subtracted from y=6f[-(x-5)],
I obtain the result f=9 at -4.
When I adjust the slider to f=9 and enter y=6f[-(x-5)]-4 into Demos, the line goes through the point (-4,482)
Does this imply that y=9x is the solution.
None of this actually makes sense to me. I don't understand a single thing. Just rearranging the numbers is all. There were NO examples in the lessons of an equation with a "y". Additionally, the left side of the equation in each example contained "f(x)" or "g(x)".
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please help with portion B. thank you
Starting with part a, question (i):
Find the average rate of change in both populations between 2002 and 2012.
Recall that the average rate of change of a function f(x) in the interval [ a, b] is given by the quotient:
rate of change = ( f(b) - f(a) ) / (b - a)
Therefore, for our population P1 case on the years 2002 and 2012 we have:
[ P1(2012) - P1(2002) ] / (2012 - 2002) = [62 - 42] / 10 = 20 / 10 = 2
for population P2 we have:
22 [72 - 82] /10 = -10/10 = -1
You can proceed doing the same process for the other cases (ii) and (iii).
Case (ii)Now part b of the problem:
Rate of change between 2002 and 2019:
99 [ 76 - 42] / ( 17) = 534 / 17 = 2
2(929 9[ 65 - 82] / 17 = -17 / 17 = -1
Case (iii)
Rate of change between 2007 and 2019:
9797 [76 - 52] / 12 = 24/12 = 2
22 [65 - 77] / 12 = -12 / 12 = -1
We see that the rates of change for each population remained constant over the years.
What we noticed in the table regarding both populations, is that while population P1 is increasing over the years, population P2 is going down in numbers year after year.
We can say therefore that P1 is INCREASING, while P2 is DECREASING. And that the rate of change they experienced was constant over the years.
11. What is the length of the missing side, x?
40 in.
51°
Your answer
74°
35 in.
74°
X
49 in.
55°
Answer:
x = 40 in
Step-by-step explanation:
the missing angle in the triangle on the left is
180° - (74 + 51)° = 180° - 125° = 55°
the missing angle in the triangle on the right is
180° - (74 + 55)° = 180° - 129° = 51°
the 2 triangles have 3 pairs of congruent angles and are therefore congruent.
Corresponding sides and angles are then congruent
consider the corresponding sides opposite 74° , that is x and 40 in , so
x = 40 in
For each value of v, determine wether it is a solution to 1-7v=-69.
For v = -4, 0, and 8 are not solutions of the equation 1 - 7v = - 69. The solution of the equation is v = 10.
Consider the equation,
1 - 7v = - 69
For the value of v = - 4,
1 - 7v = - 69
1 - 7 × - 4 = - 69
1 + 28 ≠ - 69
29 ≠ - 69
Hence, v = - 4 is not a solution.
For v = 10,
1 - 7v = - 69
1 - 7 × 10 = - 69
1 - 70 = - 69
- 69 = - 69
Therefore, v = 10 is a solution.
For the value of v = 0,
1 - 7v = - 69
1 - 7 × 0 = - 69
1 ≠ - 69
Hence, v = 0 is not a solution.
For the value of v = 8,
1 - 7v = - 69
1 - 7 × 8 = - 69
1 - 64 ≠ - 69
- 63 ≠ - 69
Hence, v = 8 is not a solution.
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Solve the following system of equations.
7x +3y= -12
2x -5y= 20
(See picture attached)
Answer:
x = 0, y = - 4
Step-by-step explanation:
7x + 3y = - 12 → (1)
2x - 5y = 20 → (2)
multiplying (1) by 5 and (2) by 3 and adding will eliminate y
35x + 15y = - 60 → (3)
6x - 15y = 60 → (4)
add (3) and (4) term by term to eliminate y
41x + 0 = 0
41x = 0 ⇒ x = 0
substitute x = 0 into either of the 2 equations and solve for y
substituting into (2)
2(0) - 5y = 20
0 - 5y = 20
- 5y = 20 ( divide both sides by - 5 )
y = - 4
Sally’s employer pays for 38% of her annual health insurance premium of $4,350.00. sally pays the remaining balance by having it deducted in equal amounts from her 26 paychecks throughout the calendar year. how much will sally have deducted from each paycheck? a. $63.58 b. $103.73 c. $137.75 d. $207.46 please select the best answer from the choices provided a b c d
By using percentage, the deductible amount is $103.73 for each paycheck. So, option b is correct.
We are provided by some percentage here. A percentage is a part of a whole that is expressed in hundredths.
Sally paid 38% of her annual health insurance premium of $4,350.00 and left with the 62%.
62% of $4,350.00 is equal to $2697
62/100 x 4,350.00 = 2697
So, the net amount that Sally has to pay is $2697 in equal distribution from her 26 paychecks throughout the calendar year.
Therefore, each paycheck will be deducted as = $2697/26
= $103.73
Hence, $103.73 will be deducted from her paycheck.
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Charlie can run 4 miles in 28 minutes. If he runs at a constant pace, how long will it take him to run 3
miles? How long will it take him to run 7 miles?
It will take 18 minutes to run 3 miles. For 7 miles, it will take him 42 minutes.
What is unitary method?The unitary method is an approach for issue that involves first calculating the value of a single unit, then multiplying that value to find the required value. a single state. This has an identity element in math, in an algebra. Whose inverse is equivalent to its linear algebra, mathematical study of a matrix or operator,
Given Data
Charlie can run 4 miles in 28 minutes.
To run 1 mile,
4 miles = 28 minutes
1 mile - 6 minutes
For 3 miles,
3 miles = 3(6)
3 miles = 18 minutes
It will take 18 minutes to run 3 miles.
For 7 miles,
7 miles = 7(6)
7 miles = 42
For 7 miles, it will take him 42 minutes.
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Simple Solutions Science
Lesson #22 I need answer 2 to 10 asap!!!!!
Last oneee helpppp
Factor Completely. 6x^3 + 10x^2 - 4x
Answer: 2x(3x−1)(x+2)
Step-by-step explanation:
Answer: 2x(3x-1)(x+2)
Step-by-step explanation:
6x^3 + 10x^2 - 4x=
2x(3x^2 + 5x - 2)=
2x(3x^2 + 6x - x - 2)=
2x(3x(x+2) - 1(x+2))=2x(3x-1)(x+2)
Alice went shopping for shirts. she purchased 4 blue shirts and 5 yellow shirts. what is the ratio of blue shirts to the total number of shirts that she purchased?
Answer: 4 : 9
Step-by-step explanation:
Total number of blue shirts purchased by Alice = 4
Total number of yellow shirts purchased by Alice = 5
Hence, total number of shirts purchase by her = 4 + 5
= 9
Therefore, Ratio of number of blue shirts to the total number of shirts
[tex]=\frac{Total~number~of~blue~shirts}{Total~number~of~shirts}[/tex]
[tex]=\frac{4}{9}[/tex]
Hence, Ratio = 4 : 9
Hey guys! please respond asap! thanx
The equation of the line that has a slope of 7 and passes through the point (4, -2) is: y = 7x - 30.
How to Write the Equation of a Line that Passes Across a Point?If we are given a point on a line (x, y), and we know the slope (m) of the line, we can expressed the equation of the line in slope-intercept form as y = mx + b.
Given the following:
Slope of the line, m = 7
A point on the line = (4, -2).
Find the value of b by substituting x = 4, y = -2, and m = 7 into y = mx + b:
-2 = 7(4) + b
-2 = 28 + b
-2 - 28 = 28 + b - 28 [subtraction property of equality]
-30 = b
b = -30
To write the equation of the line, substitute m = 7 and b = -30 into y = mx + b:
y = 7x + (-30)
y = 7x - 30
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Arranging
A. Arrange the set of integers in increasing order.
1. 3,-4, 1, 10, 9,-3
2. 4,-12, 12, -5, 9, 0, -1
3. -6, 63, -45, -7, -50
4. 6,-10, 4, 1, -67, -1
5. -5, 7, 13,-34, -52, 25, 0
In ascending order the integers are arranged from the left to right of the integer line. The arrangements are shown below.
The arrangement of the set of integers in increasing order is as follows:
-4<-3<1<3<9<10 -12<-5<-1<0<4<9<12 -50<-45<-7<-6<63 -67<-10<-1<1<4<6 -52<-34<-5<0<7<13<25Every positive integer is greater than a negative integer. Zero is less than every positive integer. Zero is greater than every negative integer. The greater the number, the lesser its opposite,i.e., If a and b are two integers such that a>b, then -a<-b.
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Lincoln went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. Lincoln purchased a total of 13 cans of soup and frozen dinners which collectively contain 4450 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.
There are 9 cans of soup and the 4 frozen dinners that were purchased.
How to explain the information?Let x = the number of cans of soup purchased.
Let y = the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13 ..... i
x = 13 - y
The equation will be illustrated as
250x + 550y = 4450 .... ii
Substituting x = 13 - y into equation ii, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
4 frozen dinners
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
9 cans of soup.
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The population of a town was 980 in 1970. The population has been growing at a rate of 18% each year. What is the population of the town in the year 1995? Round your answer to the nearest whole number.
The population of the town in the year 1995 will be 61415.
How to illustrate the information?From the information, the population of a town was 980 in 1970 and the population has been growing at a rate of 18% each year.
Therefore, it should be noted the difference in the number of years will be:
= 1995 - 1970
= 25 years
Therefore, the population of the town in the year 1995 is:
= 980 × (1 + 18%)^25
= 980 × (1.18)^25
= 980 × 66.6686
= 61415
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Kira's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs kira $5.85 per pound, and type b coffee costs $4.20 per pound. this month's blend used four times as many pounds of type b coffee as type a, for a total cost of $611.55. how many pounds of type a coffee were used?
39 pounds of type coffee were used.
Type a coffee costs, Kira, $5.85 per pound, and type b coffee cost $4.20 per pound.
let, A pound of type a coffee,
B pounds of type b coffee.
according to the question;
this month's blend used 3 times as many pounds of type B coffee as type A coffee.
Total pounds of coffee = x + 3x
The total cost then is:
(cost for Type A)(x) + (cost for Type B)(3x) = 717.60
=>5.65x + 4.25(3x) = 717.60
=>5.65x + 12.75x = 717.60
=>18.40x = 717.60
x = 39 pound
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Describe the type of correlation between the two variables on your graph. How do you know?
A graph's correlation between two variables reveals the relationship between them. The correlation is given a name based on the characteristics of the variables represented on the graphs.
What does the term correlation mean?
The data points of a person with two different factors are related in a scatterplot. The term "correlation" refers to this connection.
A correlation is the relationship between any two variables represented on any graph.
The correlation is divided into three main categories based on the sort of relationship between the variables. Those are
i) Positively correlation
ii) Negative correlation
iii) No correlation
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Pleez help me im stuck
Answer: c
Step-by-step explanation:
A is 190 divided by 125
B is 190 multiplied with 125 (product of the two numbers)
D is the sum of 190 and 125 (addition)
the difference will be found by subtracting the smaller number from the bigger number
Given that x: y = 10:9 and x - y = 122, find the value of x + y.
Answer:
2318
Step-by-step explanation:
[tex] \frac{x}{y} = \frac{10}{9} [/tex][tex]x = \frac{10y}{9} [/tex][tex] \frac{10y}{9} - y = 122[/tex][tex] \frac{10y - 9y}{9} = 122[/tex][tex] \frac{y}{9} = 122[/tex][tex]y = 9 \times 122 = 1098[/tex][tex]x - y = 122 \\ y = 1098 \\ x = 122 + 1098 = 1220[/tex][tex]x + y = 1220 + 1098 = 2318 \\ x + y = 2318[/tex]let x be the hours that Erica babysits. Write an expression to show the total number of hours Erica works each week.
The expression to represent the number of hours Erica babysits each week is 7x .
In mathematics, an expression that was created using integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number) .
However, since they are not produced from integer constants and algebraic operations, transcendental numbers such as such and e are not algebraic. The production of is often done as a geometric expression, but the definition of e requires an infinite number of algebraic operations.A rational expression is one that can be reduced to a rational fraction using the properties of arithmetic operations ( associative properties and commutative properties of addition and multiplication, distributive property and rules for the various operations on the given fractions).Erica works x hours each day and there are 7 days in a week.
Hence Erica works 7x hours in a week
Therefore the expression to represent the number of hours Erica babysits each week is 7x .
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Rationalize the denominator Square root 12+Square root 6/Square root 3+1
Square root 12+Square root 6/Square root 3+1. After Rationalize the denominator we got 4.68.
Given that,
Square root 12+Square root 6/Square root 3+1
We have to Rationalize the denominator.
If the denominator's radical is a square root, multiply by a square root that, when multiplied by the denominator, produces a perfect square beneath the radical.
The square root of a number is the element that, when multiplied by itself, produces the original number. Squares and square roots are examples of special exponents.
[tex]\sqrt{12}+\sqrt{6} /\sqrt{3+1}[/tex]
Square root of [tex]\sqrt{12} is 2\sqrt{3}[/tex]
[tex]2\sqrt{3}+\sqrt{6}/\sqrt{4}[/tex]
Square root of [tex]\sqrt{4} is 2[/tex]
[tex]2\sqrt{3}+\sqrt{6}/2[/tex]
Calculating the terms
3.46+2.44/2
3.46+1.22
4.68
Therefore, After Rationalize the denominator we got 4.68.
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2. There is a 13-foot ladder leaning against the side of a building. The ladder reaches up the building 12 feet.
How far is the bottom of the ladder from the bottom of the building? Picture
A camera has a listed price of 819.95 before tax. If the sales tax rate is 7.25 , find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$21.40
Step-by-step explanation:
List price = $19.95
Sales Tax Rate = 7.25%
Total sales tax = 19.95 x 7.25/100 = $ 1.45
Total cost = 19.95 + 1.45 = $21.40
Help me with this .identify the pairs
∠GML ≅ ∠HMJ by the Vertical Angles Congruence Theorem.
∠GMH ≅ ∠LMJ by the Vertical Angles Congruence Theorem.
∠GMK ≅ ∠JMK by the Right Angles Congruence Theorem. They form a linear pair which means they are supplementary by the Linear pair Postulate and because one is a right angle so is the other by the Subtraction Property of Equality.
What is the Vertical Angles Congruence Theorem?According to the congruence theorem of vertical angles or angles that are vertically opposing, two opposing vertical angles that are created when two lines intersect one other are always equal.
So from the figure, we can determine the vertically opposite angles,
∠GML ≅ ∠HMJ
Similarly, ∠GMH ≅ ∠LMJ
The angles ∠GMK and ∠JMK form a linear pair and are supplementary by the linear pair postulate which states that the two angles in the linear pair add up to 180°.
We know that all right angles are congruent from the Right Angle Congruence Theorem.
Hence,∠GMK ≅ ∠JMK
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I just don’t know how to solve it
Answer:
1594
Step-by-step explanation:
Find ƒ(−8) if ƒ(x) = −9x – 12
A function in the mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as function's domain and codomain, respectively. Here f(x)= 60.
What is a function?A function in the mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as function's domain and codomain, respectively.
Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, the functions represented the idealized relationship between two changing quantities. A planet's position, for the instance, depends on time. In the past, idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable (that is, they had a high degree of regularity). The realms of application of the concept of a function were substantially expanded at the conclusion of the 19th century when it was defined in terms of set theory.
The most common letters used to represent functions are f, g, and h. A function's value at an element of its domain x is denoted by the symbol f(x), and the numerical value obtained by evaluating the function at a specific input value is denoted by replacing x with that value. For example, the value of f at x = 4 is denoted by the symbol f(x) (4). The value of the function at, say, x = 4 may be denoted by E|x=4 when the function has no name and is represented by the expression E.
if, f(x)= (-8),
f(-8)= (-9)*(-8)-12 = 60
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How do I make a percent for a number that is not 100
Answer: If you had a fraction, you would have to turn into a decimal, then a percent. You can turn a decimal into a percent by multiplying the decimal by 100 and adding the percent sign. Hopefully this helps!
Answer: Like so:
30 percent of 50...
30/100= 0.30 (percentage)
0.30*50= 15 (discount, deducted amount, etc...)
Subtract answer from original number:
50-15= 35
30% of 50= 15
New amount= 35
Directions - Multiply the binomials.
(3x³ + 2x) (x³ − 5) =
Answer:
3x^6-15x^3+2x^4-10x
Step-by-step explanation:
HELP PLS HELPP egrhsdjtkfylkfjhtrgthynbvrshtndgvrehtbgd
Answer:
126
Step-by-step explanation:
The area of the top triangle is (6)(6)/2 = 18 square meters.
The area of the bottom rectangle is (9)(12)=108 square meters.
Adding these, we get the total area to be 126 square meters.
Write the sentence as a conditional.
4x-9 = 19
The sentence for 4x-9 = 19 is "when 9 is subtracted from 4 times a number, it equals 19."
What in mathematics is a conditional sentence?Definition. A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.
We have a conditional statement, for instance. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.
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