Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
Answer:
<em>The largest number of glasses of juice Isabella can have from the carton is 8.</em>
Step-by-step explanation:
<u>Ratios</u>
Knowing the total capacity of the carton of apple juice Ct, and the capacity of each glass Co, we can calculate how many glasses can be taken from the carton by finding the ratio:
There are 1,000 milliliters in one liter, thus the carton has a capacity of
C t= 1.75*1,000 = 1,750 milliliters
Thus,
n=8.75
Since we cannot have 8.75 glasses, we round to the previous integer, then:
The largest number of glasses of juice Isabella can have from the carton is 8.
We are asked to solve for the monthly income given that 30% of it goes to your expenses.
Expenses per month = $702.38
Expenses percent from income = 30% = 0.3
Total income per month = X
The solution is shown below:
$702.38 = 30% * X
X = $702.38 / 0.3
X = $2,341.27
The total income is $2,341.27.
Answer:
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Step-by-step explanation:
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