+1982 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
+129852 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
