The diameter of the circle is 15.99cm.
<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
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.
Also, in a triangle, the sum of the measures of the interior angles is 180.
We can now calculate the measures of the three angles by writing and solving an equation.
m<A + m<B + m<C = 180
9x - 7 + 7x - 9 + 28 - 2x = 180
Collect like terms on the left side.
9x + 7x - 2x - 7 - 9 + 28 = 180
14x + 12 = 180
Subtract 12 from both sides.
14x = 168
x = 12
Now that we know x, we can find the measure of each angle.
m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4
(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)
Now that we know the angle measures, the opposite sides are in the same order of size.
AB < AC < BC
The sides are, in increasing order of length:
AB, AC, BC
Answer:
x
= −
10
y
Step-by-step explain
could you give me some more info?