Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
216. All you have to do to find volume is to multiply the numbers. 12 x 18 = 216.
9514 1404 393
Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
_____
Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
Answer:
64
Step-by-step explanation:
4^3=64
4*4=16
16*4=64
Answer:
x = 11
Step-by-step explanation:
4x + 7 = 6x -15
4x - 6x = -15-7
-2x = -22 / : (-2)
x = 11
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
