Answer:
The distance between the two given points is 5.
Step-by-step explanation:
As we move from (8,13) to (11,9), the change in x is 3 and that in y is -4.
Note that these distances are at right angles to one another. We apply the Pythagorean Theorem to find the length of the diagonal connecting the two points, whose length is the desired distance:
d = √(3² + [-4]²) = √25, or just 5.
The distance between the two given points is 5.
Answer:
C, 288 square yards
Step-by-step explanation:
The first step is to find the area of the triangular base. . Now you can multiply by the length of the prism, 12, to find the volume. 12*24=288, or option C. Hope this helps!
The rest of the question is the attached figure
=========================================
solution:
∠H = ∠J = 27°
∠G = ∠L = 117°
∠F = 180 - (∠H + ∠G) = 180 - (27+117) = 36°
∠K = 180 - (∠J + ∠L ) = 180 - (27+117) = 36°
∴∠F = ∠K = 36°
∴ ΔHGF is similar to ΔJLK
So, the correct statement ⇒ HG and LJ are proportional.
Answer:
CD and DE are perpendicular because their slopes are -1/3 and 3
Step-by-step explanation:
Perpendicular lines will always have the opposite reciprocal.