Answer:
your answer is as follows
Step-by-step explanation:
5x+20=3x+60
2x=40
x=20
(equating the slopes)
The attached figure reprsents a prove that a rectangle has congruent diagonals.
<u>Given:</u> rectangle ABCD
<u>Prove:</u> BD ≅ AC
Answer: 
Step-by-step explanation:
Given
The dimension of the rectangular prism is
The volume of the prism is given by 
Therefore, the volume of the prism is .
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
