Answer:
C
Step-by-step explanation:
Here, originally, we are told that the point Q has coordinates (-2,1)
Now, its dilated point has the coordinates (-8,4)
what we can observe here is the the shape original polygon was dilated by a factor of 4 to give the image
Now the point R’ is (0,8)
To get the point R , we simply divide each coordinate by 4
Thus, we have (0/4 , 8/4)
This is same as option C
Answer:
The answer is x = 5.
Step-by-step explanation:
Given:
Δ ABC is an Isosceles triangle with AB = CA
m∠ ABC = ( 6x + 4 )°
m∠ BAC = 73°
m∠ BCA = ( 8y - 7 )°
To Find:
x = ?
Solution:
Properties of an Isosceles Triangle.
- Base angles or two angles are equal.
- Any two sides are equal.
Here , Δ ABC is an Isosceles triangle with AB = CA
∴ m∠ BAC = m∠ BCA

∴ m∠ BCA = ( 8y - 7 )°
= 8 × 10 - 7
m∠ BCA = 73 Which is same as ∠ CAB
Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

Substituting the values we get,

The answer is x = 5.
Answer:
7. x = 37.5
8. x = 8
Step-by-step explanation:
7. The sides of the triangles are proportional, therefore:
x/20 = (46 - 16)/16
x/20 = 30/16
Cross multiply
x*16 = 30*20
16x = 600
Divide both sides by 16
x = 600/16
x = 37.5
8. The sides of the triangles are proportional. Therefore,
(7x - 1)/22 = (3x + 1)/10
Cross multiply
10(7x - 1) = 22(3x + 1)
70x - 10 = 66x + 22
Collect like terms
70x - 66x = 10 + 22
4x = 32
4x/4 = 32/4
x = 8
Answer:
x = 9
Step-by-step explanation:
We are given the equation

We solve the equation in the following manner

Solving for x, we get
