Answer:
9) <4=89
10) x=35
Step-by-step explanation:
9) 52+39=91
180-91=89
10) 2x+x+13+62=180
3x+75=180
-75 -75
3x=105
105/3=35
Answer:
159 bagels left
Step-by-step explanation:
add the 32 and 37 then subtract the answer from 32 and 37 from 228 and your answer is 159
When considering similar triangles, we need congruent angles and proportional sides.
Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.
"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.
"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).
"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.
To conclude, the first option is sufficient to prove similarity (AAA)
The correct answer is 14.2 lb which is choice D.
Let:
F = minimum force required to prevent ball from rolling down the ramp
The formula will be:
F = w * sin theta
F = w * sin (39 degrees)
F = 22.6 * sin (39)
= 14.2 lb (this is rounded to the nearest tenth)
AREA = 2428
c= 76
angle A= 85 deg
angle B= 42 deg