Which pair of figures shows a dilation with a scale factor of 1 1/2 centered at the origin?
Figures ABC and DEF
5
G
T
2
Figures QRS and TRU
L
D
КІ
H
-5
А
OR
5
SU
Figures MNP and VMW
B
V
W
P
C
M
m
F
N
Figures GHI and JKL
-5

The product of sin 30 degrees and sin 60 degrees is same as the product of

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

What is the value of x in this triangle? a. 53° b. 62° c. 65° d. 118°