Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R
Answers
Answer:
The measure of ∠R = 60°
Step-by-step explanation:
The given parameters are;
Triangle XYZ is reflected across the y-axis to create triangle PQR
The measure of ∠Y = 30°
Triangle XYZ = A right triangle
The measure of ∠X = 90°
Where we have;
The image of the preimage of vertex X = P
The image of the preimage of vertex Y = Q
The image of the preimage of vertex Z = R
Therefore, given that a reflection is a rigid transformation, we have;
The measure of ∠X = The measure of ∠P
The measure of ∠Y = The measure of ∠Q
The measure of ∠Z = The measure of ∠R
Given that the measure of ∠Y = 30° and the measure of ∠X = 90°
∠X +∠Y + ∠Z = 180° (angle summation of a triangle property
∴ The measure of ∠Z = 180° - (∠X + ∠Y) = 180° - (90° + 30°) = 60°
Therefore;
The measure of ∠Z = 60° = The measure of ∠R
The measure of ∠R = 60°.
Related Questions
Solve for x
-2(2x+60) - 2x = -2(1/5x+6)
Answers
Answer:
x = -135/7 or -19.3 (rounded to the tenths)
Step-by-step explanation:
-2(2x+60)-2x=-2(1/5x+6)
First Distribute:
−4x+−120+−2x= −2/5 x+−12
Add Like Terms:
-6x-120= -2/5 x-12
Add -2/5x to each side:
−28 /5 x−120=−12
Add 120 to each side:
−28 /5 x =108
Multiply by (5/-28):
x = -135/7 or -19.3
Answer:
x = -135/7 or -19.3 (✿◠‿◠)
Find the slope of the line through each pair of
points.
(-2,-19), (-20, 11)
Answers
Answer:
[tex]m=\frac{11+19}{-20+2} \\m=\frac{30}{-18} \\m=\frac{-5}{3}[/tex]
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Complete: y2 - y1 over x2 - x1 with your given points.
11 - (-19) = 30
______ ______
-20 - (-2) = -18
⁻³⁰⁄₁₈ = ¹⁵⁄₃ = ⁵⁄₁ Simplify to lowest fraction
show how the point at (4,5) on the graph of f(x) translates for f(x-2)+7
Answers
Answer:
The point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
Step-by-step explanation:
Function of graph : f(x)
Rule : f(x)→f(x-c)
When the graph shifts to right by c units
Coordinates (x,y)→(x+c,y)
Rule : f(x)→f(x)+c
When the graph shifts up by c units
Coordinates (x,y)→(x,y+c)
So, Graph f(x-2)+7
Now given graph f(x)
Shift this right by 2 units and then shift up by 7 units
So, f(x)→ f(x-2)+7
Now , Translation of point(4,5)
Using rule :
When shift by 2 units right
(4,5) →(4+2,5)=(6,5)
Now shift up by 7 units
(6,5) →(6,5+7)=(6,12)
So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7 is (6,12)
What is the constant in the expression? 4x - 1*
O 4
O -4
O 1
O -1
Answers
Answer:
-1
Step-by-step explanation:
-1 is the constant in the expression 4x - 1
Answer:
-1
Step-by-step explanation:
as it got no variables to it.
state whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. original: 75, new:84
Answers
Answer:
The percentage of change is an increase of 12% from the original
Step-by-step explanation:
The percentage of change is a percentage of increase because the new value is greater than the original.
To find the percentage of change, we can divide the new value by the old which will give us the amount it increased by in decimal form, which we can simply multiply by 100 to find percentage:
84/75=1.12
1.12x100 = 112
The new value is 112% of the original, this means that the percentage of change is an increase of 12% from the original.
Hope this helped!
Answer:
increase and 12%
Step-by-step explanation:
84 -75 = 9
9 ÷ original # (75) = 0.12
0.12 x 100 = 12%
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answers
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
V= 1/3lwh solve for w
Answers
Answer:
3V/l divide h
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
V = 1/3 lwh
The value of w is 3V/lh
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x + 5 = 4 is an expression.
We have,
V = 1/3 lwh
Multiply 3 on both sides.
3V = lwh
Divide both sides by lh.
3V / lh = w
w = 3V/lh
Thus,
V = 1/3 lwh
The value of w is 3V/lh
Learn more about expressions here:
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4.3602x10^4 estimate
Answers
Answer:34
4
Step-by-step explanation:
Answer:
43602
Step-by-step explanation:
hope this helps :)
Help me pls I’ll give brainliest to whoever can answer and explain the best
Answers
Answer:
part c hope this helps. :)
Step-by-step explanation:
11/12
2 3/4 = 11/4
11/4 divided by 3
turn the divide to multiply and write 11/4 x 1/3
answer will be 11/12
Answer:
11/12
Step-by-step explanation:
Shelby and her two friends make 3 people.
2 3/4 pies are left over
They decide to share among themselves.[3]
Change 2 3/4 to an improper fraction:2*4+3=11/4
11/4 evenly divide with 3 friends
Change the division sign to multiplication by giving the reciprocal of the number to the right[3]
11/4*1/3=11/12
Given the function f(x)=x^2 + 2x-5, find f(-4).
11
O 3
O-29
Answers
Answer:
3
Step-by-step explanation:
Plug in -4 as x in the function:
f(x) = x² + 2x - 5
f(-4) = (-4)² + 2(-4) - 5
Simplify:
f(-4) = 16 - 8 - 5
f(-4) = 3
So, f(-4) = 3
prove that theta=l/r radian
Answers
i’m confused
I hope my answer helped . Give me brainliest please .
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
Z >-3
z <5
Z <4
Iz < 4
Z > 0
Answers
Answer:
A, B, D
Step-by-step explanation:
i just did it on edge
Answer:
its true
Step-by-step explanation:
1 2 4
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Use your equation from the previous question to find how many gallons of gas you could buy with 40 dollars.
help asap if you do you will get the crown thingy
Answers
Answer:2.35x+6.00=y
x=number of gallons of gas
Step-by-step explanation:
Write an equation for the line with slope that contains the point (-4, 8)
Answers
Answer:
y= 2(-4) + 8
hope it helps
plz help plzzzzzzzzzzz
Answers
Answer:hahhahahahahahahhaha that sucks were both stupid!!!
Step-by-step explanation:
Write a linear function with the values (-1,8) and (5,6)
Answers
Let the function be y = ax + c.
For (-1,8), 8 = a(-1) + c → 8 = - a + c
For (5,6), 6 = a(5) + c → 6 = 5a + c
Subtract one from abother,
2 = - 6a => - 1/3 = a
Hence, 8 = - 1/3 + c → 23/3 = c
Relation is:
y = (-1/3)x + (23/3)
3y = - x + 23
3y = 23 - x
Borrow $1,500 at an interest rate of 5% for one year for a total repayment of
Answers
Answer:
1680
Step-by-step explanation:
1500÷100=15
15x12 months =180
1500+180=1680
The lines shown below are parallel. True or false?
Answers
Answer:
yes, true
Step-by-step explanation:
Answer:
the answer is true because they dont intersect
Step-by-step explanation:
Follow the steps and finish the solution.
7 (x minus 3) = 28
Distributive property: 7 x minus 21 = 28. Addition property of equality: 7 x = 49. Division property of equality: x = blank.
What is the value of x?
7
9
42
56
Answers
hope this helped! good luck
Answer:
X=7
Hope this helps, and have a Great Day. You got this!!!
Step-by-step explanation:
graph y=1/2x+2 please explain
Answers
Answer:
Step-by-step explanation:
y=1/2x+2
1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases
so the slope increase 1/2 +2
The graph of y=1/2x+2 is shown in figure below
How do we make graph of a function?Suppose the considered function whose graph is to be made is
f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values
f(x)are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
Given;
y=1/2x+2
Here, 1/2 is the slope, which means the graph increases by 1/2
the y intercept is how the slope increases;
Hence, the slope increase 1/2 +2
The graph of the given function;
Learn more about graphing functions here:
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of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.
Answers
La respuesta de tu división es exact
Step-by-step explanation:
Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564
David's favorite snack cake is $0.25 if bought individually , or $1.50 for a box of 10. How much less is the price per cake when bought in a box?
Answers
Answer:
$1.25
Step-by-step explanation:
Subtract $0.25 by $1.50
$1.50-$0.25=$1.25
I’m not very great a math and I’m a bit rush so yeah
Answers
Answer:
y=1/10x -9
Step-by-step explanation:
slope intercept formula - y=mx+b
help find equation and missing angle
Answers
Answer:
angle V + Angle W = angle U
angle VUF is equal to 94 degrees
Step-by-step explanation:
Write the domain and range of the function as an inequality
Answers
Domain = [tex]-\infty < x < +\infty[/tex]
Range = [tex]y \le -4[/tex]
======================================
Explanation:
The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]
This says x is between negative infinity and positive infinity.
In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]
As you can probably see, the domain is the set of all possible x inputs of a function.
--------------------------
The range is the set of all possible y outputs of a function.
The largest output is y = -4 which is where the vertex is located.
There is no smallest y value as the arrows point down, and the graph goes forever in that direction.
So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]
The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]
The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.
Please help due tomorrow..URGENT!! will mark brainliest
Answers
Answer:
i would recommend not posting pictures because i cannot see them
Step-by-step explanation:
What is the midpoint of the line segment with endpoints at (-6, 3) and (-10, 7)?
A(-8,5)
B(-16, 10)
C (2,-2)
D (4,-4)
Choose
Answers
Answer:
A(-8,5)
Step-by-step explanation:
Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).
[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]
What is a force between an object and the surface it is moving over?
Answers
Answer:
Friction
Step-by-step explanation:
Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.
1. Which trail do you think would be more difficult to hike up?
2. Explain your answer to question
Answers
2. Because it has more miles than B does and the elevation is lowers
You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, C is the
number of chores you do, and d is the number of dollars you earn.
The relationship between these two variables can be expressed by the following equation:
d=3c
Identify the dependent and independent variables.
Dependent variable
Independent variable
The number of chores you do
The number of dollars you earn
Answers
Answer:
Independent- c (number of chores)
Dependent- d (number of dollars)
Step-by-step explanation: