Answer: x = 67.5 ft
Explanation:
Following the statements you can draw the triangles mnp and mab.
1) Both are similar triangles with the common vertex m, and with these corresponding sides:
- segment mn corresponding to ma
- segment np corresponding np
- segment mp corresponding mb
2) So, by side-angle-side theorem
segment ma segment mb
------------------ = ---------------------
segment mn segment mp
3) You know:
- segment mn = 71.5
- segment ma = 71.5 - 22 = 49.5
- segment mb = x
- segment mp = 97.5
4) Therefore:
x 49.5
--------- = ----------
97.5 71.5
5) Solve for x:
x = 97.5 * 49.5 / 71.5 = 67.5
Answer: x = 67.5 ft.
Given the following statements<span>
1. line RS || segment AB, ∠1=∠2
2. ∠B = ∠1
3. ∠A = ∠2
4. ∠A = ∠B
5. RA = RB
and the following reasons,
a) If lines ||, corresponding ∠'s are =
b) If two ∠'s of a triangle are =, sides opposite are =
b) If lines ||, alternate interior ∠'s =
c) Given
d) Substitution
</span>
<span>we match the statements and the reasons to enable us prove the required proof.
Statement Reason
</span>
<span>1. line RS || segment AB, ∠1=∠2 Given
2. ∠B = ∠1 </span><span>If lines ||, corresponding ∠'s are =
3. ∠A = ∠2 </span><span>If lines ||, alternate interior ∠'s =
4. ∠A = ∠B </span><span>Substitution
[because we are given that </span>
<span><span>∠1=∠2]
</span>5. RA = RB </span>If two ∠'s of a triangle are =, sides opposite are =
If he cuts the board into 7 pieces, that will require 6 cuts with his saw. Therefore, he will lose 6 * .125, or .75 feet for all of the cuts, resulting in 17.25 feet in total after the cuts.
Sales tax, interest, and markup is a raise in the money of a cost. Hope I helped: )
Answer:
1. 3.5 units up
2. 3/4 units down.
3. down 3 units
4. up 2 units, right 1
5. up 4 units, right 3
6. down 4 units, left 2
Step-by-step explanation:
