Answer:
Step-by-step explanation:
The triangles CED and CGF are similar since two sides are on same line and one side is parallel.
<u>Corresponding sides have equal ratios:</u>
- CG/CE = CF/CD
- CG/CE = (CD - 1.8)/CD
- 6/(6 + 2.4) = (CD - 1.8)/CD
- 6/8.4 = (CD - 1.8)/CD
- 1/1.4 = (CD - 1.8)/CD
- 1*CD = 1.4CD - 1.4*1.8
- 0.4CD = 2.52
- CD = 2.52/0.4
- CD = 6.3
Answer:
1 foot and 10 inches
Step-by-step explanation:
14 inches equals 1 foot and 2 inches.
3 feet
- 1 foot and 2 inches
= 1 foot and 10 inches
Answer:
The given expressions x+3(7-x) and x+21-3x are equivalent by using the distributive property
Step-by-step explanation:
Given expressions are x+3(7-x) and x+21-3x and also given that they are equivalent
To find for what property the given two expressions are equivalent :
x+3(7-x)=x+3(7)+3(-x)
=x+21-3x ( here we are using the distributive property a(x+y)=ax+ay )
Therefore the given expressions x+3(7-x) and x+21-3x are equivalent by using the distributive property
Answer:
∠x = 63°
Step-by-step explanation:
The exterior angle added with the measure of ∠BAC will equal 180, since they will form a straight line, so we can calculate the measure of ∠BAC:
128 + x = 180
x = 52
∠BAC = 52°
The angles in a triangle all add up to 180°, so we can set up another equation to find x:
52 + 65 + x = 180
117 + x = 180
∠x = 63°
