4. Find the measure of
TIL
110
40 50 60
140 130 120 110 100 sp 80 70 60
0 120 130
35 degrees
135 degrees
145 degrees
O95 degrees
Answers
Answer:
145 degrees
Step-by-step explanation:
The side through L is at a 35 degree angle, and the side through N is at a 180 degree angle. Taking the difference, we get 145 degrees.
Related Questions
Work out the percentage increase in her total hours from Weekend 1 to Weekend 2
Answers
5 1/2 + 3 1/2 = 9 hours
9 / 5 = 1.75
75% increase
Answer:
Step-by-step explanation:
weekend 1 : 3+2= 5
weekend 2 : 5.5+3.5=9
difference: 9-5=4
increase/initial value [times] 100
4/5(100)= 80%
1. Choose the correct answer.
Which theorem or postulate could be used to prove the congruence of the pair of triangles?
Answers
Answer:
(d) HA
Step-by-step explanation:
You have two right triangles with the hypotenuse and one angle marked as congruent. You want to know the applicable theorem for claiming the triangles are congruent.
Right triangle congruenceWhen two triangles are known to be right triangles, the known angle is opposite the longest side (hypotenuse), and the two legs are the sides that form that known angle. Hence, some special theorems can be invoked for right triangles:
LA — leg, angle; equivalent to ASA
LL — leg, leg; equivalent to SAS
HA — hypotenuse, angle; equivalent to AAS
HL — hypotenuse, leg; no equivalent for non-right triangles
ApplicationThe given triangles have the hypotenuse (H) and an acute angle (A) marked, so the HA theorem can be used to prove congruence.
__
Additional comment
The HL condition described above refers two two consecutive sides and the angle not between them (SSA). This set of descriptors will create a unique triangle if and only if the angle is opposite the longest side. In general, that will not be the case, but it is guaranteed to be the case for a right triangle.
Tim’ mom filled the ga tank in her SUV and pent $72. 00 for 22. 5 gallon of unleaded gaoline. What i the contant of proportionality that relate the cot in dollar, y, to the number gallon of unleaded gaoline, x?
Answers
The constant of proportionality on this case is 3.2
What is constant of proportionality?
The ratio between any two given values that establishes what is referred to as a proportional relationship is the constant of proportionality.
Main body:
Total amount spent by Mom = $ 72
total gallon bought = 22.5
So constant of proportionality can be found by finding value of 1 gallon of gasoline, which can be found by dividing as follows,
Price of 1 gallon = total spent/ total gasoline bought
= 72/22.5
= 3.2
Hence constant of proportionality is 3.2.
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Keilantra is working two summer jobs, making $12 per hour lifeguarding and $6 per
hour walking dogs. Last week Keilantra worked a total of 11 hours and earned a total
of $108. Graphically solve a system of equations in order to determine the number of
hours Keilantra worked lifeguarding last week, x, and the number of hours Keilantra
worked walking dogs last week, y. Graph the problem
Answers
She has to do at least 8.6 hours walking (and then 7.5 hours dog walking) for the minimum of $80 earning
Keilantra is working two summer jobs, making $12 per hour lifeguarding and $6 per hour walking dogs. Last week Keilantra worked a total of 11 hours and earned a total of $108.
x = number hours dog walking
y = number hours Lifeguarding
x + y <= 11
12x + 6y >= 80
The solution is the common area below the first line and above the second line.
The first line is above the second line (due to the y-intercept of 11 vs. 8) until the crossing point.
for the crossing point we use the regular equations :
from the first we get
x = 11 - y
using this in the second
12×(11 - y) + 6y = 80
132 - 12y + 6y = 80
6y = 52
y = 52/6 = 26/3 = 8.6
x = 11 - y = 11 - 8.6 = 2.4
So, she has to do at least 8.6 hours lifeguarding (and then 7.5 hours dog walking) for the minimum of $80 earning, all the way up to the maximum of 11 hours lifeguarding (and 0 dog walking).
Hence the answer is she has to do at least 8.6 hours lifeguarding (and then 7.5 hours dog walking) for the minimum of $80 earning.
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Jerry rolled a fair number cube 24 times. Which of the following is the most reasonable outcome ?
F. Jerry rolled number 6 twelve times.
G. Jerry rolled a 2 or a 4 twelve times.
H.Jerry rolled each number in the cube six times
J. Jerry rolled an odd number twelve times
Answers
Answer:
h
Step-by-step explanation:
i did the quize good luck
math homework trigonometry pls help
Answers
The area of the given triangle is 21.33 cm²
What is Heron's formula?This formula is understood for its simple calculation supporting the length of three sides of a triangle, if the length of three sides are a, b, and c, then its semi-perimeter is. s=a+b+c2. Thus, the area is given by,
A=√s(s−a)(s−b)(s−c)
Given a triangle, with lengths 8 cm, 6 cm and 12 cm
Perimeter = 8+6+12 = 26 cm
Semi perimeter = 26/2 = 13 cm
Area = √s(s−a)(s−b)(s−c)
Area = √13(13-8)(13-6)(13-12)
Area = √455
Area = 21.33 cm²
Hence, The area of the given triangle is 21.33 cm²
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481.5712 Find the digits in the tens place, in the tenths place, and in the ten thousandths place for the following number.
Answers
Answer:
Tens place: 8
Tenths place: 5
Ten thousandths place: 2
Answers:
tenths place = 5
ten-thousandths place = 2
======================================================
Explanation:
Refer to the place value chart shown below.
The 5 is in the tenths place which is one spot to the right of the decimal point. The ten-thousandths place is four spots to the right of the decimal point.
2<-2x+6 or -18>-2x+6
Answers
x < 2 and x > 12 are the answers to the inequality expressions supplied.
What is an inequality expression
An algebraic inequality is a mathematical statement that uses the inequality sign to connect an expression to a value, a variable, or another expression. One-variable inequalities can have solutions that can be graphed on a number line or on a coordinate plane.
Given the inequality expressions below:
2<-2x+6 or -18>-2x+6
Solve individually;
2 < -2x + 6
2- 6 < -2x
-4 < -2x
-2x > -4
x < 4/2
x <2
For the inequality -18>-2x+6
-18 - 6 > -2x
-24 > -2x
-2x < -24
x > 24/2
x > 12
Hence the solution to the given inequality expressions are x < 2 and x > 12
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What does mean in math.
Answers
Answer:
Its the average of the numbers, and its the sum of all values divided by the total number of values.
Answer:
mean median and mode song rap helps me remember
2x-y + 2z = 6
3x+2y-z = 4
4x + 3y - 3z = 1
Answers
Answer:
Step-by-step explanation:
X=
58
43
71
no bots fr
Answers
Answer:
A
Step-by-step explanation:
question is on image
Answers
Answer:
i dont see image..
Step-by-step explanation:
7. What is the dependent variable for the function g(t)=-t-10?
Ot
10
O-t
09
A
Answers
The dependent variable in the function g(t) = - t - 10 is g .
In the given function g(t) = - t - 10 , we have t which is the independent variable. It makes up the domain of the function.
The independent variable is the one whose value is mapped by all and any particular t.
And 10 is the constant.
Dependent variables get their name since their values are examined throughout an experiment under the assumption or requirement that they are likewise dependent on the value of the dependent variable pursuant to some regulation .
Independent variables are those that, in relation to anything having to do with the experiment in question, are not considered to be reliant on any other factors.
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From a sample with n=40, the mean duration of a geyser's eruption is 3.35 minutes and the standard deviation is 0.79 minutes. Using Chebychev's Theorem, determine at least how many of the eruptions lasted between 1.77 and 4.93 minutes.
Answers
75% of the eruptions lasted between 1.77 and 4.93 minutes.
Chebyshev's Theorem calculates the proportion of observations that are within a given number of standard deviations of the mean. This theorem is applicable to many different probability distributions. Chebyshev's inequality is another name for Chebyshev's theorem.
According to Chebyshev’s theorem, the proportion of the data lying within k standard deviations of the mean is always at least 1 – 1/k^2, where k>1.
Given
Mean = 3.35
SD = 0.79
Mean – 1*SD = 3.35 – 1*0.79
= 3.35 – 0.79
= 2.56
Mean + 1*SD =3.35 + 1*0.79
= 3.35 + 0.79
= 4.14
Mean – 2*SD =3.35 – 2*0.79
= 3.35 – 1.58
= 1.77
Mean + 2*SD =3.35 + 2*0.79
= 3.35 + 1.58
= 4.93
Here, we have k = 2
For k = 2,
= 1- (1/k2)
= 1- (1/(2)2
= 1- ¼
= ¾
at least ¾ or 75% of all values lie within 2 standard deviations of the mean.
Therefore 75% of the eruptions lasted between 1.77 and 4.93 minutes.
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find the weighted average of the weighted points on the number line. a number line with four weighted points plotted. the point at negative 4 has weight three, the point at negative 2 has weight three, the point at one has weight one, and the point at five as weight three.
Answers
The weighted average of the weighted points on the number line is -0.2.
A weighted average refers to the average of a data set that considers certain numbers as more important. Weighted averages are commonly used in statistical analysis, stock portfolios and teacher grading averages. In order to determine the weighted average of the weight points on the number line:
Determine the sum of weight value of each number. Weight value sum = (-4*3) + (-2*3) + (1*1) + (5*3) = -12 – 6 + 1 + 15 = -2 Determine the sum of weight points. Sum of weights = 3 + 3 + 1 + 3 = 10.Divide the sum of weight value by weight value sum. Weighted average = -2/10 = -0.2Hence, the average weight is -0.2.
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help plssssssssss i want it fast
Answers
Answer:
x = 4
Step-by-step explanation:
assuming you require to find the value of x
Δ ADE and Δ ACB are similar ( by the AA postulate )
then the ratios of corresponding sides are in proportion, that is
[tex]\frac{AD}{AC}[/tex] = [tex]\frac{AE}{AB}[/tex] ( substitute values )
[tex]\frac{x}{x+x-2}[/tex] = [tex]\frac{x+2}{x+2+x -1}[/tex]
[tex]\frac{x}{2x-2}[/tex] = [tex]\frac{x+2}{2x+1}[/tex] ( cross- multiply )
(2x - 2)(x + 2) = x(2x + 1) ← expand left side using FOIL
2x² + 2x - 4 = 2x² + x ( subtract 2x² + x from both sides )
x - 4 = 0 ( add 4 to both sides )
x = 4
A fish is swimming at a constant rate towards the ocean floor. The equation y = -5x – 9 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation? Answer
Answers
The statement best describes the depth of the fish is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second
How to determine the statement that best describes the depth of the fish?
In order to know which statement best describes the depth of the fish, we have to first understand what the equation means:
Given: the equation y = -5x – 9
This can be likened to the equation of a straight line, which is of the form y =mx +c,
where m is the slope and c is the y-intercept
Comparing the given equation with the equation of a line :
y = -5x – 9
Slope(m) = -5 and y-intercept(c) = -9
The y-intercept represents the starting while the slope is the rate of descend
Therefore, what this means is that from starting position of 9 meters below sea level, the fish is descending 5 meters per second.
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a family is walking toward their home, which is in an apartment building 123 feet tall. they are walking at a rate of 5 ft/sec. how fast is the distance to the top of the building changing when they are 60 feet from the base of the building?
Answers
The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.
In the given question we have to find how fast is the distance to the top of the building changing when they are 60 feet from the base of the building.
A family is walking toward their home, which is in an apartment building 123 feet tall.
They are walking at a rate of 5 ft/sec.
So according to the given statement diagram is
In the diagram x represent base and s represent the distance.
Using the Pythagorean theorem to find the value of s.
So the equation should be
[tex]s^2=x^2+(123)^2[/tex]........................(1)
From the question, x=60 feet
Now putting the value
[tex]s^2=(60)^2+(123)^2[/tex]
[tex]s^2[/tex] = 3600+15129
[tex]s^2[/tex] = 18729
s = 136.85
Differentiate equation 1 with respect to t using the power rule then solve the expression for ds/dt
2s ds/dt=2x dx/dt+0
2s ds/dt= 2x dx/dt
Divide by 2s on both side, we get
ds/dt= x/s dx/dt.......................(2)
They are walking at a rate of 5 ft/sec.
So dx/dt=5
Putting the value in the equation 2
ds/dt=60/136.85 ×5
ds/dt=0.438×5
ds/dt=2.19 ft/s
The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.
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-2f-3.7<2.3 inequality?
Answers
The solution to the inequality expression is f >-3
How to determine the solution to the inequality expression?From the question, we have the following parameter that can be used in our computation:
-2f - 3.7 < 2.3
Add 3.7 to both sides of the expression
This gives
-2f < 6
Divide both sides of the expression by -2
So, we have the following representation
f >-3
Hence, the solution is f >-3
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Please help me please
Answers
The tick marks on the two sides mean those two lengths are the same, which also means the angles opposite them are the same measure. (AKA It's an isosceles triangle.)
Since the two missing angles are equal, we can solve:
28 + x + x = 180
to find that x = 76.
The two angles are 76 degrees.
And since LM = LN, we know LN = 18 in.
Write 3 x √3 as a single power of 3
Answers
Answer:
[tex]3^{1.5}[/tex]
Step-by-step explanation:
[tex]3 = 3^1[/tex]
[tex]\sqrt{3} = x^{0.5}[/tex]
[tex]3*\sqrt{3} = 3^{1} * 3^{0.5} = 3^{1 + 0.5} = 3^{1.5}[/tex]
The solution to the inequality −17 + 2x ≤ 19 − 4x is x ≤ k for some number k. What is k?
Answers
The solution to the inequality −17 + 2x ≤ 19 − 4x is x ≤ k. The value of k is 6.
How to solve inequality?In mathematics, the relationship between two values that are not equal is defined by inequalities.
Therefore, the inequality can be solved as follows:
−17 + 2x ≤ 19 − 4x is x ≤ k .
Let's solve for k
−17 + 2x ≤ 19 − 4x
subtract 2x from both sides of the inequalities
−17 + 2x ≤ 19 − 4x
−17 + 2x - 2x ≤ 19 − 4x - 2x
- 17 ≤ 19 - 6x
Subtract 19 from both sides of the equation
- 17 ≤ 19 - 6x
- 17 - 19 ≤ 19 - 19 - 6x
- 36 ≤ - 6x
divide both sides by -6
- 36 / -6 ≤ - 6x / -6
6 ≥ x
x ≤ 6
Therefore, k = 6
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please help!!!!! i need an answer asap
Answers
Answer: (3,2)
Step-by-step explanation:
[tex]7x-7y=7\\\-4x-7y=-26[/tex]
subtract second equation from the first
[tex]11x=33\\x= 3[/tex]
plug x = 3 back into first equation
[tex]7(3) - 7y = 721 - 7y = 7-7y = -14\\y = -2[/tex]
Answer:
x=3 y=2
Step-by-step explanation:
Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5)
Answers
Answer: Write an equation in standard form that has a y-intercept at (0,-3) and also contains the point (4,5)
Step-by-step explanation:
Wyatt went to the grocery store and bought bottles of Soda and bottles of juice. Each bottle of Soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar. Wyatt purchased 2 more bottles of juice than bottles of Soda and they all collectively contain 430 grams of sugar. Write a system of equations that could be used to determine the number of bottles of Soda purchased and the number of juice purchased. Define the variables that you used to write the system.
Answers
Answer:
soda=30g
juice=40g
2 juice than soda=430g
Step-by-step explanation:
Since Keven bought 12 total drinks, we have the equation S + J = 12. We also know how much sugar is in each drink, as well as the total amount of sugar in all the drinks purchased. The equation 30S + 40J = 450 represents this scenario in terms of S and J. Now we have two equations with two unknowns (S and J) that make up the following linear system of equations:
S+J =12
30S+40J =450
We can solve this system by using either elimination or substitution (I will use substitution here):
S+J = 12
S=12- J
Now we can substitute the expression 12- J in for S in the second equation, and then solve for J:
30(12- J) +40J = 450
360- 30J +40J = 450
10J = 90
J = 9
Finally, we can substitute 9 in for J in either of the two original equations to solve for S:
S + 9 = 12
S = 3
So Keven bought three bottles of soda and nine bottles of juice. Hope this helps. Let me know if you have any questions.
The system of equations that could be used to determine the number of bottles of Soda purchased will be J=S+2 and 30S+40J =430, while the number of juice purchased will be 7.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, each bottle of juice contains 40 grams of sugar, compared to 30 grams per bottle of soda. Wyatt bought 2 more bottles of juice than soda, and they all have 430 grams of sugar in total.
If Wyatt purchased 2 more bottles of juice than bottles of Soda
J =2+S ------------(1)
J-S=2
Each bottle of Soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar and they all collectively contain 430 grams of sugar.
30S+40J =430
Substitute the value of J in equation 2 as
30S+40(2+S)=430
30S+80+40S=430
70S=430-80
70S=350
S=5
The number of juice is,
J=S+2
J=5+2
J=7
Thus, the system of equations that could be used to determine the number of bottles of Soda purchased will be J=S+2 and 30S+40J =430, while the number of juice purchased will be 7.
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how can we find A? .
Answers
no question;;;;;;;;;;;;;;;;;;;;;;
Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33? flvs
Answers
Isolating the variable x we will get the simplified inequality (which is equivalent to the given one)
3 < x ≤ 5.2
How to get an equivalent inequality?Sadly, the options are not given, so we can get a trivial equivalent inequality which is the one where the variable x is isolated, and it gives the solution set for the inequality.
So let's isolate the variable:
-22 > -5x - 7 ≥ −33
First, we can add 7 everywhere, so we get:
-22 + 7 > -5x - 7 + 7 ≥ −33 + 7
-15 > -5x ≥ −26
Now we can divide everywhere by -5, because it is a negative number, it changes the direction of the symbols.
-15/-5 < -5x/-5 ≤ -26/-5
3 < x ≤ 5.2
That is the equivalent inequality, and the solution set is:
(3, 5.2]
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The shop teacher wrote down how many picture frames the students made last week.
Making picture frames
******
xxxx-
x
xx
ххххххх
0 1 2 3
4
Picture frames made
How many students made at least 3 picture frames?
students
Answers
9 students made at least 3 picture frames.
What is Box- whisker plot?An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.
Given:
The plot shows picture frames made by students last week.
Number of Frames Number of students
0 6
1 4
2 1
3 2
4 7
So, the students made at least 3 picture frames
= 2+ 7
= 9
Hence, 9 students made at least 3 picture frames.
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Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes.
Complete and solve the equation that finds the number of dimes he will pay you after the 7th study session
Answers
The equation that finds the number of dimes he will pay you after the 7th study session [tex]a_7=5\times5^{7-1}[/tex].
Given that, Your friend asks you to help him study and will pay you 5 dimes the first time you help him.
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.
The formula to find nth term of the geometric sequence is [tex]a_n=ar^{n-1}[/tex].
According to the question,
The geometric sequence is 5, 25, 125,.....
So, r=25/5 =5
Now, [tex]a_7=5\times5^{7-1}[/tex]
= 5×15625
= 78125 dimes
Therefore, the equation that finds the number of dimes he will pay you after the 7th study session [tex]a_7=5\times5^{7-1}[/tex].
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I need help solving with an explanation please
Answers
Answer:
a = 1b = 0c = 0d = 1Step-by-step explanation:
[tex]\left[\begin{array}{cc}2&7\\1&3&\end{array}\right] \left[\begin{array}{cc}-3&7\\1&-2&\end{array}\right] =\left[\begin{array}{cc}2(-3)+7(1)&2(7)+7(-2)\\1(-3)+3(1)&1(7)+3(-2)&\end{array}\right] =\left[\begin{array}{cc}1&0\\0&1&\end{array}\right][/tex]