Answers
Answer: bigger angle=64 smaller angle=26
Step-by-step explanation:
1. set up an equation
because the bigger angle is 14 less than 3 times the measurement of the smaller angle we can call the smaller angle x and the bigger angle 3x-14 knowing complementary angles are 90 degrees you can set up the following:x+3x-14=90
3.solve the equation
x+3x-14=90
4x-14=90 | combine like terms
4x=104 | add 14 on both sides
x=26 | divide by 4 on both sides
4. plug x in to your angle measures
1(26)=26
3(26)-14
78-14
64
Related Questions
Consider the relation
Answers
The domain of the relation is 2, 5, 3, 6 and 7.
How to find the domain of a relation?The domain of the relation can be found as follows;
The domain of a function is the set of all possible inputs for the function.
The domain are usually the independent variable of a function.
The domain are associated with the x values.
Hence, the domain of the relation is as follows:
domain = {2, 5, 3, 6 , 7}
learn more on domain here: https://brainly.com/question/11034197
#SPJ1
What is the special angle pair relationship between the two
Answers
Answer: same side interior angles
Step-by-step explanation:
if you know this your smartest person in the world
Answers
= 52/36 - 27/36
= 25/36
Hope this helps
ee piles of rocks. the mean weight of the rocks in a is 40 pounds, the mean weight of the rocks in b is 50 pounds, the mean weight of the rocks in the combined piles a and b is 43 pounds, and the mean weight of the rocks in the combined piles a and c is 44 pounds. what is the greatest possible integer value for the mean in pounds of the
Answers
The greatest possible integer value for the mean is calculated as 59.
What is defined as the consistent solution?A system is said to be consistent if it has at least one solution. A consistent system is independent if it has exactly one solution. It is dependent if a consistent system has had an infinite number of solutions.Assume that the three piles contain A,B,C rocks, that mean of pile C is x, and the mean of a combination of B and C is y. We will maximize y if the following conditions are met:
40A + 50B = 43(A+B)
40A + xC = 44(A+C)
50B + xC = y(B+C)
that can be reorganized as follows:
7B = 3A
(x - 44)C = 4A
(x - y)C = (y - 50)B
Let's see if y=59 is possible. If so, it's already the solution. Otherwise, there will be an inconsistency. As a result, the third equation is as follows:
(x - 59)C = 9B.
So, 15C = (x-44)C - (x-59)C = 4A - 9B
45C = 4(3A) - 27B = 28B - 27B,
105C = 28A-9(7B) = A
Thus,
A = 105C, B = 45C, Put the values
x = 4(105) + 44 = 464, That gives consistent solution.
Therefore, the value of y is found to be 59, the greatest possible integer value for the mean.
To know more about the consistent solution, here
https://brainly.com/question/19282045
#SPJ9
Twice a number increased by twenty is at least eighty-five. Select all possible values of the number.
Answers
Answer:
2x+20≥84
2x≥64
x≥32
Step-by-step explanation:
The height h in feet that a pole vaulter can reach can be estimated using
the formula h = 20, where v is the velocity of the athlete in feet per second.
If the height for a women's pole vault is about 9.8 feet, about how fast was
the holder running? How far will the pole vaulter run in 2 seconds?
Answers
Using the numeric value of functions, it is found that the pole vaulter will run 50 feet farther in 2 seconds.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
The formula for the velocity is given as;
v=8√h
where h is the height.
we have the height is of h = 9.8,
hence:
v = 8√(9.8) = 25 feet per second.
The holder was running at the rate of 25 feet per second.
Then, within two seconds, the distance is given as;
d = 25 x 2 = 50 feet.
Hence, The pole vaulter will run 50 feet farther in 2 seconds.
More can be learned about the numeric values of a function at;
https://brainly.com/question/28598747
#SPJ1
Line of Symmetry
Draw the line of Symmetry for each shape. Write how many
Answers
Assuming that the sides of pentagon are equal lengths and the sides of the square are equal lengths, the lines of symmetry should be as depicted below.
See details:
Augustina has 2 posters with length x inches. One poster has a width of x+3 inches, and the other has a width of x+7 inches. Write an expression to represent the area of wall that the posters will cover.
Answers
Answer:
20 inches
Step-by-step explanation:
7x2=14
3x2=6
14+6=20
Features of the function f(x)=-log3x+6
Answers
The following are the properties of the given logarithmic function f(x) = -log3x+6:
The function's domain is (0, ∞).
The function's range is (-∞, ∞) i.e. the set of all real numbers.
At x = 0, the component shows the presence of a vertical asymptote.
The constant reflects the x-axis logarithm.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
We have been given that the function f(x) = -log3x+6
As per the above function,
The function's domain is (0, ∞).
The function's range is (-∞, ∞) i.e. the set of all real numbers.
At x = 0, the component shows the presence of a vertical asymptote.
The constant reflects the x-axis logarithm.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
#SPJ1
A diver is standing on a diving board 5 1/4 feet above sea level.
He jumps off and dives into the water for a total of 15 1/2 feet.
How far below sea level is the diver?
Answers
Answer:
Step-by-step explanation:
5 1/4 feet above sea level minus 15 1/2 will equal the distance the diver is below sea level.
5 1/4 - 15 1/2 = 10 1/4 feet below sea level
Please Help I don’t want to fail this test my grade is low!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
1/3
Step-by-step explanation:
the is slope of this graph is 1_3
Answer:
1/3
Plssssss mark as brainliest
Step-by-step explanation:
To find the slope of a graph you need to look for 2 pairs of accurate xand y values
First value which is accurate is:
x = 1 and y= 4
Second pair which is accurate is :
x = 7 and y = 6
Gradient = rise/run = y2-y1/x2-x1
im taking y2 as 6, x2 as 7, y1 as 4 and x1 as1
6-4/7-1
=2/6
=1/3
there are 6 boys and 14 girls in a class what is the percentage
Answers
Answer:
percentage of boys:
6/20x100
=30%
percentage of girls:
14/20x100
=70%
Answer:
Step-by-step explanation:
70%
Abc has vertices a(-2, "-1)" b(1,2 and c(2,-4) if a'b'c' is a dilation of abc with a scaled factor of 2.5 and center of dilation (0, 0), give the coordinates of the vertices of a'b'c
Answers
The new coordinates of the vertices a'b'c' are (-5, -2.5), (2.5, 5) and (5, -10) respectively of the triangle.
What is defined as the scale factor?Scaling (or dilation) is the process of making something bigger or smaller. As a result, if we scale this same coordinates points, we multiply the points by the scale factor to really get new coordinates points that are greater or less than the original points.For the given question;
The vertices of the triangle has the coordinates of a, b and c;
a = (-2, -1)b = (1, 2) c = (2, -4)The dilation of the abc is factored with the scale factor of 2.5.
Thus, to find the new coordinates of a'b'c' multiply each value with 2.5.
a' = 2.5×(-2, -1) = (-5, -2.5)b' = 2.5×(1, 2) = (2.5, 5)c' = 2.5× (2, -4) = (5, -10)Thus, the new coordinates of the vertices a'b'c' are (-5, -2.5), (2.5, 5) and (5, -10) respectively.
To know more about the Scale Factor, here
https://brainly.com/question/25722260
#SPJ9
Round 64.87 to the nearest tenth.
Answers
Answer:
64.9
Step-by-step explanation:
Since 7 is equal to or above 5 it will add +1 to the 8
Answer:
64.87 rounded to the nearest tenth is 64.9 since it is past 5 :)
Step-by-step explanation:
in scientific notation 8599000000 = 8.559 x 10^z what is the value of x
Answers
Answer:
z = 9
Step-by-step explanation:
X is not a valve is it a multiplication sign. I believe that you are looking for the value of z.
To find the value of z you simply have to count how many times you moved the decimal point. In this case you move the decimal point 9 times. Since you move it to the left z is positive. Z=9
You pay 10.5% sales tax on a $85 purchase. How much was the tax?
Answers
Answer:
85x10.5%=8.925
Step-by-step explanation:
Which of the following is a true statement?
All negative numbers are above zero on the number line.
All positive numbers are to the left of zero on the number line.
All negative numbers are to the left of zero on the number line.
All statements are correct.
Answers
Answer:
Step-by-step explanation:
The correct statement is all negative number are to the left of zero on a number line.
When you look at a number line you will see negative numbers, 0, then positive numbers ( -# ------- 0 -------- +#), you an see the negative numbers are on the left.
Write the quadratic equation that has roots [tex]\frac{(-1-\sqrt{2})}{3}[/tex] and [tex]\frac{(-1+\sqrt{2})}{3}[/tex] if its coefficient with [tex]x^{2}[/tex] is equal to 9.
Answers
The quadratic equation is [tex]9x^2-2/3x-\frac{1+2\sqrt{2}}{3}[/tex]
Quadratic Equation:
A quadratic function is a function of degree two.
The general form of the quadratic equation is as follows:
x² + (sum of roots)x + Product of roots.
Given,
Here we have the roots,
[tex]\frac{-1-\sqrt{2} }{3} ,\frac{-1+\sqrt{2} }{3}[/tex]
And the coefficient with x² is equal to 9.
Through the given details we have to find the quadratic equation.
To find the equation we have to identify the sum of roots and the product of roots.
So, the sum of roots is,
[tex]= > \frac{-1-\sqrt{2} }{3} +\frac{-1+\sqrt{2} }{3}[/tex]
[tex]= > \frac{-1 }{3} +\frac{-1 }{3}\\= > \frac{-2}{3}[/tex]
Now the product of roots is,
[tex]= > \frac{-1-\sqrt{2} }{3} \times\frac{-1+\sqrt{2} }{3}[/tex]
[tex]= > \frac{1-\sqrt{2}-\sqrt{2}-2 }{3}=\frac{-1-2\sqrt{2} }{3}[/tex]
So, the quadratic equation is,
[tex]= > 9x^2-2/3x-\frac{1+2\sqrt{2}}{3}[/tex]
To know more about Quadratic equation here.
https://brainly.com/question/17177510
#SPJ1
Please help me do the Q1. 5 ii)
Answers
The most appropriate choice for trigonometric function will be given by
Greatest value = 2, least value = -3
What are trigonometric functions?
Trigonometric functions are those functions which shows the relationship between side and angle of a right angled triangle.
There are six trigonometric functions-
[tex]sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]
[tex]sin\theta=\frac{perpendicular}{hypoteunse}\\ \\cos\theta=\frac{base}{hypoteunse}\\\\tan\theta=\frac{perpendicular}{base}\\\\cot\theta=\frac{base}{perpendicular}\\\\sec\theta=\frac{hypotenuse}{base}\\\\cosec\theta=\frac{hypotenuse}{perpendicular}[/tex]
Here,
5 ii)
[tex]2 sin^{2} x - 3cos^{2}x \\2(1-cos^2x)-3cos^2x\\2 - 2cos^2x -3cos^2x\\2 - 5cos^2x\\[/tex]
Now,
[tex]0\leq cos^{2}x \leq 1\\ -1 \leq -cos^2x\leq 0\\-5\leq -5cos^2x\leq 0\\-5+2\leq 2-5cos^2x\leq 0+2\\-3\leq 2-5cos^2x\leq 2[/tex]
Greatest value = 2, least value = -3
To learn more about Trigonometric functions, refer to the link:
brainly.com/question/1143565
#SPJ9
26. a)prove that a strictly increasing function from r to itself is one-to-one. b)give an example of an increasing function from r to itself that is not one-to-one.
Answers
a) f is strictly increasing function then f is one to one
b) f: R-> R such that f(x) = x^n where n is even is not one to one
suppose that f is strictly increasing function
we have to prove that f is one to one
let us assume f(x1) = f(x2)
we have to prove x1=x2
since f is strictly increasing function
then x2>x1 and x1> x2
this implies that x1=x2
and Hence f is one to one function
b) f:R->R such that f(x) = x^ n where n is even is not one to one
because f(1)= f( -1)
but -1 is not equal to 1 therefore f is not one to one function
learn more about of function here
https://brainly.com/question/12431044
#SPJ4
What is the volume of a cuboid with 10cm 8cm and 6cm
Answers
Answer:
480 cm³
Step-by-step explanation:
volume = width × heigh × length
volume = 10 cm × 8 cm × 6 cm
volume = 480 cm³
Hope it Help~
A student needs to select a statistical question to research for a project. Which of the following questions should the student select? A How many days have I been absent from school this year? B How many students in the school were absent on November 1st of this school year? C How many days have each of the students in my class been absent this month? D How many students in my class were absent last Wednesday? PLSS HELP OH GOD I WANT TO PAST
Answers
When the student needs to select a statistical question to research for a project, the question that he should select is D. How many students in my class were absent last Wednesday?
How to illustrate the information?Any question that may be answered statistically is one for which data collection is possible and for which there will be some degree of data variability. Because there is no variability in the data used to answer the question, questions that can only be answered with a single data point are not statistical questions.
To do research for a project, a student must choose a statistical question. In this case, it should be noted that it's important to select a question that's specific. This was illustrated by option D.
Learn more about research on:
https://brainly.com/question/25257437
#SPJ1
write an equation relating cost per student c to number of students n
Answers
Answer:
t=n*c where t=total cost
Step-by-step explanation:
There are 4 identical triangles, each with an area of 4 square units. When put together, they form a square. What is the side length of the square?
Answers
a triangle has three sides, divide four by three to get one point three
Mrs. Williams made her homemade chicken soup she made 6 3⁄4 cups of soup each servings was 1 1⁄8 cup how many servings are there trying to explain to her how to do it not just give her the answer that it's 6
Answers
Answer:
Mrs. Williams made her homemade chicken soup. She made 6 3/4 cups of soup. Each serving size was 1 1/8 cup. = 6
Step-by-step explanation:
this picture below shows how to solve the problem step by step hope this really helps !
What is 7 divided by 534
Answers
Answer:
0.0131086142
Step-by-step explanation:
I just put in the calculator.
7/534
Decimal Form:
0.01310861
…
I NEED HELP WITH THIS PLEASE
Answers
Answer: 4. 27x + 18 8. 4x - 5
Step-by-step explanation: should be right
what is the ratio for 1/3 kilograms to 2/3 foot
Answers
0.5kg per foot
Answer:
Step-by-step explanation:
Which statement best describes a graph of paired points that form a proportional relationship?
A straight line cannot be drawn through all of the the points, but the line passes through the origin.
A straight line can be drawn through all the points, but the line does not pass through the origin.
A straight line can be drawn through all the points, and the line passes through the origin.
A straight line cannot be drawn through all of the the points, and the line does not pass through the origin.
Answers
Answer: A straight line can be drawn through all the points, and the line passes through the origin.
Step-by-step explanation:
The following figure is made of a square and a rectangle.
What is the perimeter of the figure?
Answers
Consequently, the combined perimeter of the square and rectangle in the previous diagram is 36 cm.
What is the perimeter of the quadrilateral?We combine each side's value.
For instance, the typical solution is to multiply the length by two and the width by two, then add the results to determine the perimeter if the quadrilateral is a square, rectangle, parallelogram, or any other shape with two equal opposite sides and angles.
In the given diagram, we can infer that
the diagram is a combination of a square and a rectangle
so for the rectangle:
the perimeter is =2(l+b)
=2(8+5)
=26 cm
so for the square :
the perimeter is =2(side +side):
=2(5+5)
=20cm
to get the total perimeter ,we will add both the perimeters but subtract one side (5cm) because it is common in both the quadrilaterals twice:
so we get:
20+26-10=36cm
Therefore, the perimeter of the preceding diagram of a square and a rectangle combined is 36cm.
to learn more about perimeter of parallelograms , click here:
https://brainly.com/question/16839024
#SPJ13