Given:
The triangles DEF is similar to GHF.
The objective is to find a similar ratio of DF/DE.
Explanation:
Using the basic proportionality theorem, for the similar triangles DEF and GHF,

Considering the first two ratios of equation (1),

On interchanging the segments further,

Hence, the required segment in the blanks is GF/GH.
Answer:
1. x = 2.6
2. 7x + 1
Step-by-step explanation:
1.
Given:
4.75x = 12.35
Find x
4.75x = 12.35
Divide both sides by the coefficient of x, that is 4.75
4.75x / 4.75 = 12.35 / 4.75
x = 2.6
Check
4.75x = 12.35
4.75(2.6) = 12.35
12.35 = 12.35
2.
Given:
3x + 2 + 4x - 1
Combine like terms
3x + 4x + 2 - 1
7x + 1
Answer:
2 3/8
The denominator is 8 because there are 8 total lines
how you get 2 is because you passed the 2 lines and if you count the lines it goes up to three
Answer:
(1, 3)
Step-by-step explanation:
A 90° clockwise rotation about the origin maps every point
(x, y)→(y, -x).
The coordinates of X are (-3, 1); using this transformation, we have
(-3, 1)→(1, 3).