Answer:
12<14
x<12
14>12
14>x
Step-by-step explanation:
I dont know if it is correct but I think it is that way try
Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F = 
m∠D =
°.
Now, let m∠A = m∠B = 
So, m∠C = m∠A + 30° = 
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180

Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180

Therefore, m∠F = 50°
m∠E = 50° and
m∠D = 
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.
Answer:
2.
Step-by-step explanation:
-10 divided by -5 is 2. The two negatives cancel each other out.
Answer:
(x − 1)² + (y + 1)² = 18
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
The center is (1, -1), so plugging that in:
(x − 1)² + (y + 1)² = r²
A point on the circle is (4, 2), so plugging that in:
(4 − 1)² + (2 + 1)² = r²
18 = r²
Therefore, the equation is:
(x − 1)² + (y + 1)² = 18
Answer: 138
Step-by-step explanation:
(65*2)=130
(4*2)=8
130+8=138