Answer:
x= 34°
y=5
Because segments AB and BC are congruent, their corresponding angles (<BAD and <BCD) would also be congruent to each other, meaning that both would be 56°.
Knowing that triangles add up to 180°, the whole triangle (ABC) would then have 2 angles that are 56° and the top angle (<ABC) would be 68°
Splitting those in half ( because <ABD and <CBD are congruent), each would be 34° (thus x=34°)
Looking now at the two separate triangles (ABD and CBD), we can determine that both <BDA and <BDC are 90° (right angles) because 180-34-56=90°.
Therefore, since both triangles have all congruent angles, both triangles are the same! So, since segment AD=5, segment CD would also be 5 (y=5).
answer
is -7
explained
because f(x)=3x+1,for f (-2/3)= -7
Answer:
m∠B = 66.3°
a = 0.0319
b = 0.0726
Step-by-step explanation:
Sum of the interior angles of a triangle = 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 23.7 + m∠B + 90 = 180
⇒ m∠B = 180 - 90 - 23.7 = 66.3°
We can use the sine rule to help solve the missing side lengths.
<u>Sine rule</u>
where A, B and C are the angles and a, b and c are the side lengths opposite the angles.
Therefore,
