Answer:
a. ∠AMB, ∠BMC
b. ∠BMC, ∠CMD
Step-by-step explanation:
supplementary=angles add up to 180°
Complementary=angles add up to 90°
Answer:
Total distance covered = 436 yards
Step-by-step explanation:
Walking path BE joins the midpoints B and E of the sides AC and AD.
By midsegment theorem,
"Line joining midpoints of two sides of a triangle is parallel and measure half of the third side"
m(BE) = ![\frac{1}{2}[m(CD)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28CD%29%5D)
CD = 2(BE)
CD = 2(74) = 128 yd
From starting point D,
DE = 107 yd
EB = 74 yd
BC = 
= 127 yd
CD = 128 yd
Total walking distance = DE + EB + BC + CD
= 107 + 74 + 127 + 128
= 436 yd
Total distance covered = 436 yards
Answer:
- True, True, False, False, True
Step-by-step explanation:
Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.
Scale factor is 1/2 according to the coordinates.
<h3>The answer options</h3>
<u>The length of side AD is 8 units.</u>
<u>The length of side A'D' is 4 units.</u>
<u>The image is larger than the pre-image.</u>
- False. It is 2 times smaller.
<u>Sides CD and C'D' both have the same slope, 2.</u>
Slopes of CD and C'D' are same: m = (0 - 4)/(4 - 2) = -4/2 = -2
<u>The scale factor is One-half.</u>
There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.
It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.
Since the triangles are proportional,
to find the base of the big triangle
base(big)/hypotenuse(big)=base(small)/hypotenuse(small)
Plug in the numbers
x/15=3.5/7
x/15=1/2
x=15/2
x=7.5
The length of the base of the big triangle is 7.5cm
