Answer:
69.5
Step-by-step explanation:
Formula = 1/2 ( b1 + b2)h
base 1 + base 2 = 220
7645 x 2 = 14000 + 1200 + 80 + 10 = 15290
15290 / 220 = 764.5
H = 69.5
Lets check
1/2(220 x 69.5)
1/2(15290) = 7645
correct
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Answer
1st is yes
2nd is no
Step-by-step explanation:
Answer: "No, the triangles are not necessarily congruent." is the correct statement .
Step-by-step explanation:
In ΔCDE, m∠C = 30° and m∠E = 50°
Therefore by angle sum property of triangles
m∠C+m∠D+m∠E=180°
⇒m∠D=180°-m∠E-m∠C=180°-30°-50°=100°
⇒m∠D=100°
In ΔFGH, m∠G = 100° and m∠H = 50°
Similarly m∠F +∠G+m∠H=180°
⇒m∠F=180°-∠G-m∠H=180°-100°-50=30°
⇒m∠F=30°
Now ΔCDE and ΔFGH
m∠C=m∠F=30°,m∠D=m∠G=100°,m∠E=m∠H=50°
by AAA similarity criteria ΔCDE ≈ ΔFGH but can't say congruent.
Congruent triangles are the pair of triangles in which corresponding sides and angles are equal . A congruent triangle is a similar triangle but a similar triangle may not be a congruent triangle.
Answer:
x=192/151 , y=312/151 , z= -684/151
