Data:
<span>segment AU = 20x + 108,
segment UB = 273,
segment BC = 703,
segment UV = 444,
segment AV = 372 and
segment AC = 589.
From the figure:
1) Similarity => segment AB / segment BC = segment AU / segment UV
2) segment AB = segment AU + segment UB = 20x + 108 + 273 = 20x + 381
=> (20x + 381) / 703 = (20x + 108) / 444
=> 444 (20x + 381) = 703 (20x + 108)
=> 8880x + 169164 = 14060x + 75924
=> 14060x - 8880x = 169164 - 75924
=> 5180 x = 93240
=> x = 93240 / 5180
=> x = 18
Answer: x = 18
</span>
Answer:
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Step-by-step explanation:
The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.
28x - 7 + 24x + 18 = 180
52x + 11 = 180
52x = 169
x = 169/52
x = 3.25
Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.
12y + 30 = 24x + 18
We know that x = 3.25.
12y + 30 = 24(3.25) + 18
12y + 30 = 78 + 18
12y = 66
y = 66/12
y = 5.5
I don't know what the problem is asking for since you don't show.
x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96
Answer= 2w2-9w-5
Hope this helps
Answer:
D
Step-by-step explanation:
We can test each pair making each ratio into its simplest form.
For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.
For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.
For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.
For D, 4/10=2/5, and 12/30=2/5. They are equivalent.
