Answer:
<5 ~= <1 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5~= <7 - Vertical Angles Theorem
line l || line m - Transitive Property
X + x - 5 + 3x + 25 = 180
5x + 20 = 180
5x = 160
x = 32
m<F = x - 5
m<F = 32 - 5
m<F = 27
3(23) really means 3*23, or just 3 multiplied by 23. For example: "Jana has 23 dollars. Her friend John has $23, and his friend Jacob also has 23 dollars. How much money do they have all together?" To solve this problem mentally, you could break 3*23 into two numbers you're familiar with multiplying, like 20 and 3, and then add the numbers together. For example: 3*20 + 3*3. 3*20=60, 3*3=9, and 60+9=69. So, 3*23=69.
Solutions
⇒ Given
Salary - $ 20
Spends - $ 14
The first step is to subtract 14 from 20. When we do this, we will know how much he saves.
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Calculations
20 - 14 = 6
He saves $ 6 each week.
Now we have to find how many times 6 goes into 300. To do this we have to divide.
300 ÷ 6 = 50
<span>It is going to take him 50 weeks. </span>
When Ivan divides his coins into groups of 2 nickels and 1 quarter, worth $0.35, he find that he has $8.75/$0.35 = 25 such groups.
Ivan has 25 quarters and 50 nickels.
