x = 7
∠ABD = ∠CBD = 20 ( BD bisects ∠ABC )
solve either 3x - 1 = 20 or 34 - 2x = 20
3x - 1 = 20 ( add 1 to both sides and divide by 3 )
3x = 21 ⇒ x = 7
OR
34 - 2x = 20 ( subtract 34 from both sides and divide by - 2 )
- 2x = - 14 ⇒ x = 7
Answer:
11 small frames, 5 large frames
Step-by-step explanation:
small: x
large : y
x + y = 16
4x + 14y = 114
Multiply first equation by 4 and subtract.
4x + 4y = 64
-(4x + 14y = 114)
-10y = -50
y = 5
Substitute y into the first equation.
x + 5 = 16
x = 11
Answer:
64 + 64sqrt(3)
174.9 cm²
Step-by-step explanation:
AD/2 = 8cos(60) = 4
AD = 8 cm
Height of each triangle = 8sin(60)
= 4sqrt(3)
sqrt: square root
Area = 8² + 4(½ × 8 × 4sqrt(3))
= 64 + 64sqrt(3) cm²
= 174.8512517 cm²
