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
Part A: A keypad lock asks you to input a four-digit code. If you can choose any digit, 0 through 9, for each of the four digits, how many possible combinations are there? Part B: Suppose the similar keypad lock asks for a four-digit code but does not allow you to repeat a digit. How many possible combinations are there for this lock?
Answers
Answer:
A. 10,000 combinations
B. 5,040 combinations
Step-by-step explanation:
A. four-digit code from 0-9 without restriction
1st digit - 10 options
2nd digit - 10 options
3rd digit - 10 options
4th digit - 10 options
Number of possible options = 10 * 10 * 10 * 10 = 10^4 = 10,000 combinations
b. No repetition of digits
1st digit = 10 options
2nd digit = 9 options
3rd digit = 8 options
4th digit = 7 options
Number of possible choices = 10 * 9 * 8 * 7 = 5,040 combinations
Anything would really help! Due soon!
Answers
Answer:
y=mx+b
Step-by-step explanation:
|5x|>-4
Solve the following inequality
Answers
Answer:
all numbers
Step-by-step explanation:
|5x|>-4
Absolute values are greater than or equal to zero
This says that our absolute value is greater than a negative number
This is always true so x can be any number, so it has infinite solutions
x is all real numbers
Can someone help please?
Answers
Answer:
It’s either A or C. However I’m mostly going with C. For C tells us 2 hours and 23 minutes have passed. I hope this helps.
Step-by-step explanation:
Please correct me if I am wrong.
The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this. What is the deepest point in the Baltic Sea relative to the surface?
Answers
Answer:
The deepest point in the Baltic Sea relative to the surface is 459 meters.
Step-by-step explanation:
The average depth of the Baltic Sea is:
[tex] d_{1} = 52 m [/tex]
The deepest point in the Baltic Sea is (lower than this):
[tex] d_{2} = 407 m [/tex]
Hence, the deepest point in the Baltic Sea relative to the surface is given by:
[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]
Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.
I hope it helps you!
HELPPP
Given h(x) = 2x + 2, solve for x when h(x) = 4.
Answers
Answer:
x = 1
Step-by-step explanation:
2x + 2 = 4
2x = 2
x = 1
2x = 2
x = 1
For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?
Answers
The car travels 182 miles on 14 gallons of gas.
To create a unit rate, you would have to divide 14 by 182.
182 mi 13 mi
———— = ———-
14 gal 1 gal
Then, you would need to multiply the numerator and denominator by 8 because the question is asking how far the car can travel on 8 gallons of gas.
13 mi x 8 104 mi
——— = ————
1 gal x 8 8 gal
So, your answer is the car travels 104 miles on 8 gallons of gas.
Solve the problem algebraiclly i
Answers
Answer:
x=-3.75
Step-by-step explanation:
17 = -13-8x
30=-8x
x=-3.75
Answer:
Step-by-step explanation:
17=-13-8x
Step 1: add 13 to both sides
30=-8x
Step 2: divide by -8
-3.75=x
What is the equation of the line that passes through the point (-1, -5) and has a
slope of -3?
Answers
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
I need help with this urgently!!
Answers
Answer:
c
Step-by-step explanation:
your welcome
Can someone help really quickly?
Answers
2. -5
3. 10
4. 15
5. 30
[tex]\bold{Explanation:}[/tex]Plug the x values into f(x)=5x+5 to get the f(x) values
Name a point non-complanar to plane K
Answers
Answer:
did you attach an image?
Step-by-step explanation:
We have a figure given in question.
We have to find a point non-coplanar to plane K.
What is Coplanarity of points?Two or more points are coplanar if they lie on the same plane in the three dimensional coordinate system. If they don't lie on the same plane, then they are called non - coplanar.
According to the question, we have to find a point non-coplanar to
plane K.
All the points except points W and Y lie on plane K. Hence, W and Y are the two points that do not lie on the K - plane.
To solve more questions on Coplanarity, visit the link below-
https://brainly.com/question/10623225
#SPJ2
If y varies directly as x, and y = 15 when x = 5. Find x when y = 9
Answers
Answer:
x=3
Step-by-step explanation:
If y is 15 when x is 5, and y =f(x), then the equation is y=3x. Substitute in 9 for y, and do the algebra, and you will get 3. Hope this helped :D
The value of x is 3 when y = 9.
What is Proportionality?When two quantities are proportional, it means that they can be expressed as a ratio or a fraction, and this ratio remains constant as the values of the quantities change.
If y varies directly as x, it means that the ratio of y to x remains constant.
We can express this relationship as y = kx, where k is the constant of variation.
To find the value of k, we can use the given information that y = 15 when x = 5:
15 = k . 5
Dividing both sides of the equation by 5, we get:
k = 15/5
k = 3
Now that we have the value of k, we can substitute it into the equation
y = kx to find x when y = 9:
9 = 3x
Dividing both sides of the equation by 3, we get:
x = 9/3
x = 3
Therefore, when y = 9, x = 3.
Learn more about Proportionality here:
https://brainly.com/question/8598338
#SPJ2
Find the distance between each pair of points.
M(-2,5) N(-2,-4)
Answers
Answer:
9
Step-by-step explanation:
write the expression to (5x-3x^2)-(5x-2)*(10x+7x^2) in standard form
Answers
Last year the cost of Mr. patten’s car insurance was 86.80 per month. This year it inscreased by 5 percent. What was the cost of his insurance after the increase?
Answers
Answer:4.34
Step-by-step explanation:
Plz help What is the quotient of 2 1/4 and 5/8
A.5/18
B.9/16
C.3 3/5
D.2 7/8
Answers
2hr+20min+60sec are equal to _____ minutes
Answers
It is correct
create a predictable sequence of at least 4 numbers that is not arithmetic or geometric.
Answers
Answer:
1,2,3,5,8,13,.......
Step-by-step explanation:
We can have a sequence that adds the previous two terms to get the next term
1,2,3,5,8,13,.......
This is neither geometric nor arithmetic
Please help
8th grade pre algebra
Answers
Answer:
The 1st Graph: -4/1
2nd Graph 1/3
Step-by-step explanation:
"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.
Answers
g= Kate’s Score
- 2/3 × 3/5 + 5/2 - 3/5 × 1/6
Answers
-6/15 + 5/2 -3/30
then u can simplify the fractions, -6/15=-2/5 and -3/30=-1/10
-2/5 + 5/2 - 1/10, now find a common denominator in this case 10
-4/10 + 25/10 - 1/10
now add and subtract normally
answer:20/10 or 2
Answer:
2
Step-by-step explanation:
(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)
-2/3 x 3/5 = -6/15 = -2/5 (simplified)
3/5 x 1/6 = 3/30 = 1/10 (simplified)
Changed equation: -2/5 + 5/2 - 1/10
-2/5 x 2 = -4/10
5/2 x 5 = 25/10
Changed equation: -4/10 + 25/10 - 1/10
Answer: 20/10 = 2 (simplified answer)
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth?
Answers
Answer: 5.9
9.94 rounded to the nearest tenth is 5.9
Plz mark brainliest:)
Please Help!!!!!!!!!
Answers
Find the 87th term of this sequence: 157, 150, 143, ...
Answers
Answer:
[tex]\bold{a_{87}=-445}[/tex]Step-by-step explanation:
[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]
If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.
please answer it and I will mark your answer as the brainliest..please..!!!
Answers
Answer:
[tex]y=2x-6[/tex]
Step-by-step explanation:
A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.
The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).
The distance d1 from (x,y) to (2,3) is:
[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]
The distance d2 from (x,y) to (6,1) is:
[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Since d1=d2:
[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Squaring both sides:
[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]
Operating:
[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]
Simplifying all the squares:
[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]
Moving the variables to the left side and the numbers to the right side:
[tex]-4x+12x-6y+2y=36+1-4-9[/tex]
Simplifying:
[tex]8x-4y=24[/tex]
Dividing by 4:
[tex]2x-y=6[/tex]
Or, equivalently:
[tex]\boxed{y=2x-6}[/tex]
I don't get this...
Answers
Answer: The answer is D. 17.9
Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.
I hope this helps have a great day!
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first you should remember that....
[tex]a^{2} +b^{2} =c^{2}[/tex]
then you should plug in...
[tex]8^{2}+16^{2}[/tex]
that should equal...
[tex]c^{2}=320[/tex]
Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...
[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]
[tex]c=17.88854382...[/tex]
Then you have to round it to the nearest tenths, which'll give you...
[tex]17.9[/tex]
choice D
The diameter of a cylinder is doubled, and the height is cut in half. what will happen to the volume of the cylinder? please!
Answers
Answer:
The volume will be four times the original volume.
Step-by-step explanation:
V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.
1
2
3
What is the slope of the line represented by the equation y
Y = 4/5x - 3
Answers
I need help fast I’m timed!
Answers
Answer:
-5
Step-by-step explanation: