In the following figure, each pair of intersecting lines are perpendicular and the points of intersection are the midpoints of the lines. Also, DE = 14, BS = 20, MH = 26, GF = 25. Which is the length of SE + SM + GM + GF?

A. 52

B. 47

C. 45

D. 55

Lines AN and CT are perpendicular. If the measure of angle AFT is 3x + 21 and the measure of angle CFN is y + 45, which is the value of x + y?

A. 70

B. 40

C. 69

D. 68

In the following figure, line CG and HS are perpendicular.

Which is the measure of angle RDF?

A. 95

B. 65

C. 60

D. 75

macabresubwoofer Mar 9, 2020

#1**+2 **

First one

DE =14 ....so SE = 7

BS = 20....so SM =10

MH =26....so GM = 13

GF = 25

So SE + SM + GM + GF =

7 + 10 + 13 + 25 =

55

Second one

If AN ad CT are perpendicular....then AFT and CFN are right angles

Which implies that

3x + 21 = 90 and y + 45 = 90

Subtract 21 from both sides Subtract 45 from both sides

3x = 69

Divide both sides by 3 y = 45

x = 23

So x + y = 23 + 45 = 68

Last one

The sum of HDR + RDF + SDF = 180

So

55 + HDR + 30 = 180 simplify

HDR + 85 =180 subtract 85 from both sides

HDR = 95

CPhill Mar 9, 2020