A student constructs the angle bisectors of a triangle and then uses their intersection point as the center of a circle. The stu
2 answers:
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A property of rectangles is that opposite sides are congruent. In this case, since QT and RS are opposite sides, they are equal to each other. With this knowledge, you can form the equation to solve for x.
Firstly, subtract both sides by 8:
Next, divide both sides by 4 and your answer will be , or the third option.
Answer:
y = 3
Step-by-step explanation:
The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is
=
( cross- multiply )
y² = 63 ( take the square root of both sides )
y = =
=
×
= 3
Remark
I'll do two from each group, leaving you with 1. I just leave the answer for the one I don't do or a hint it it is long. That's more than we are instructed to do (which is three parts per posted question).
One
Two ratios form a proportion because they both equal the same thing when you reduce them to the point where the ratios are prime to each other.
3/4 = 12/16
3/4 can't be reduced any further. When both 12 and 16 are divided by 4, the result is 3/4
Two
<em><u>Formula</u></em>
Sale Price/Original Price = 3/4
<em><u>Solve</u></em>
Sale Price / 64 = 3/4 Multiply both sides by 64
Sale Price = (3/4)*64
Sale Price = 48
Three
682 Trillion atoms of hydrogen.
Four
<em><u>Formula</u></em>
rotations / 40 seconds = rotations / second
<em><u>Solve</u></em>
2000 / 40 seconds = rotations / 1 second Just divide
50 rotations/1 second = rotations / second.
Five
<em><u>Formula</u></em>
Herd of cows / Total pounds of milk = 1 cow / pounds of milk
<em><u>Given</u></em>
Herd = 12
pounds total = 224998
<em><u>Solve</u></em>
12/224998 = 1 / x Cross multiply
12x = 224998
x = 18750 pounds of milk for 1 cow.
Six
0.5 m in 1 second.
Seven
<em><u>Formula</u></em>
Pages / hour = pages / minute
pages / hour = 4.5
1 hour = 60 minutes.
<em><u>Solve</u></em>
4.5 / 1 hour. But 1 hour = 60 min
4.5 pages / 60 min = 0.075 pages per minute.
Note this is not a true proportion. You just have to know how it is done.
Eight
This is also not a true proportion. The best way to do this is called unit analysis.
Each set of units on the right will cancel with a set of units on the left until all that you area left with is miles / hour. Then just multiply the numerator numbers together and denominator numbers together.
numerator: 18 * 1 * 3600 = 64800
denominator: 2 * 5280 * 1 = 10560
Now divide the numerator by the denominator.
answer: numerator/denominator = 64800/10560 = 6.14 miles per hour.
Nine
Note: there are 1760 yards in a mile.
1 gallon will take you 32000 yards or 18 miles. Do this the same way eight was done.