The angles are supplementary so they add up to 180 degrees. The equation would be
x + 3x + 54 = 180
4x = 180-54
4x = 126
x = 31.5 degrees
1st angle is 31.5 degrees
2nd angle is 3x+54 = 148.5 degrees.
To check 148.5+31.5 = 180
<h3><u>Question:</u></h3>
Mitch lost 10/3 pounds in 5/7 in a week. Which complex fraction, when simplified, will compute the unit rate of pounds per week?
A)10/3 over 5/7
B)10/3 over 7/5
C)3/10 over 5/7
D)5/7 over 10/3
<h3><u>Answer:</u></h3>
Option A
The unit rate of pounds per week is 10/3 over 5/7
<h3><u>Solution:</u></h3>
Given that,
Mitch lost
pounds in
of a week
We have to compute the unit rate of pounds per week
Unit rate means that number of pounds lost in 1 week
From given information,
![\text{Weight lost in } \frac{5}{7} \text{ of a week } = \frac{10}{3} \text{ pounds }](https://tex.z-dn.net/?f=%5Ctext%7BWeight%20lost%20in%20%7D%20%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20of%20a%20week%20%7D%20%3D%20%5Cfrac%7B10%7D%7B3%7D%20%5Ctext%7B%20pounds%20%7D)
So to find the number of pounds lost in 1 week, divide the total pounds lost (10/3) by the time in weeks (5/7)
![\text{Number of pounds lost in 1 week } = \frac{\text{pounds lost in} \frac{5}{7} \text{ week }}{\frac{5}{7} \text{ week }}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20pounds%20lost%20in%201%20week%20%7D%20%3D%20%5Cfrac%7B%5Ctext%7Bpounds%20lost%20in%7D%20%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20week%20%7D%7D%7B%5Cfrac%7B5%7D%7B7%7D%20%5Ctext%7B%20week%20%7D%7D)
![\text{Number of pounds lost in 1 week } = \frac{\frac{10}{3}}{\frac{5}{7}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20pounds%20lost%20in%201%20week%20%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B10%7D%7B3%7D%7D%7B%5Cfrac%7B5%7D%7B7%7D%7D)
Thus unit unit is 10/3 over 5/7
680 x 0,0013
=68 x 0,013 = 0,884
Hope it helps!
#MissionExam001
Answer:
B
Step-by-step explanation:
" 'then' is the conclusion" is the conclusion statement in the conditional statement, so it must go at the end following the first part.