Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 <u>CORRECT</u>
Answer:
x = 2
Step-by-step explanation:
![\frac{x}{2x+1} = \frac{16}{40}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2x%2B1%7D%20%3D%20%5Cfrac%7B16%7D%7B40%7D)
Step 1: Cross multiply
We want to eliminate all denominators, so we multiply the opposite numerators and denominators
![\frac{x}{2x+1} = \frac{16}{40}\\\\\\x\cdot40 = 16(2x + 1)\\\\\\40x = 32x + 16](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2x%2B1%7D%20%3D%20%5Cfrac%7B16%7D%7B40%7D%5C%5C%5C%5C%5C%5Cx%5Ccdot40%20%3D%2016%282x%20%2B%201%29%5C%5C%5C%5C%5C%5C40x%20%3D%2032x%20%2B%2016)
Step 2: Solve for x
Now we want x by itself, and we have to solve for x.
- Move all terms with x on one side
![40x = 32x + 16\\\\\\40x - 32x = 16\\\\\\8x = 16](https://tex.z-dn.net/?f=40x%20%3D%2032x%20%2B%2016%5C%5C%5C%5C%5C%5C40x%20-%2032x%20%3D%2016%5C%5C%5C%5C%5C%5C8x%20%3D%2016)
- Now remove all coefficients with x
![8x = 16\\\\8(x) = 16\\\\x = 16/8\\\\x = 2](https://tex.z-dn.net/?f=8x%20%3D%2016%5C%5C%5C%5C8%28x%29%20%3D%2016%5C%5C%5C%5Cx%20%3D%2016%2F8%5C%5C%5C%5Cx%20%3D%202)
-Chetan K
Answer:
5.8 miles
Step-by-step explanation:
Remark
The total distance = 162.4
The total time = 28 days
Formula
Daily distance = Total distance / Total time
Solution
Daily distance = 162.4/28
Daily distance = 5.8 miles
25% of $80=$20
$80-$20=$60 remaining after you purchased shorts
65% of %60=$39
Answer: Sandals cost $39.00