Answer:
Step-by-step explanation:
<u>Exterior angle is equal to sum of non-adjacent interior angles:</u>
- x + 40° = 125°
- x = 125° - 40°
- x = 85°
Correct choice is D. 85
Quotient is:
Remainder: 0
Answer and workings in the attachment below.
Answer:
yes no total
girls 58 32 90
boys 52 40 92
total 110 72 182
Step-by-step explanation:
if 182 freshmen were surveyed and 110 said yes, then 182 - 110 = 72 said no
if 40 boys said no, then 72 - 40 = 32 girls said no
if 90 girls were surveyed, then 182 - 90 = 92 boys were surveyed
if 40 boys said no, then 92 - 40 = 52 said yes
if 32 girls said no, then 90 - 32 = 58 said yes
Answer:
k= 5.6
Step-by-step explanation:
Δ DUM Δ MAP
hypotenuse: 15 2y-3
short leg: 12 0.5x + 6
y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM
SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.
