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3 years ago

Name an equivalent ratio for 1/2 with a denominator of 20

1 answer:

8 0

To begin with, equivalent fractions represent the same part of a whole number. So I need to find a fraction, with a denominator of 20, that is the same value as 1/2:
1/2 = ?/20
1*10/2*10 = 10/20

Since the denominator needed to be 20, I multiplied the numerator and the denominator (1/2) by 10 to get 10/20. So, 1/2 and 10/20 are equivalent.

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In the following picture, (QS) ̅ and (PR) ̅ are chords of the circle. Find the length of QS. (Remember to show formulas/equation

Inessa [10]

<h3>Answer: QS is 37 units long</h3>

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Explanation:

PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.

PN*NR = QN*NS

24*14 = 21*(2x-4)

336 = 42x-84

336+84 = 42x-84+84 .... add 84 to both sides

420 = 42x

42x = 420

42x/42 = 420/42 ...... divide both sides by 42

x = 10

We know that x = 10 so we can use it to find the length of NS

NS = 2x-4

NS = 2*10-4

NS = 20-4

NS = 16

Therefore,

QS = QN + NS

QS = 21 + 16

QS = 37

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note: as a check,

PN*NR = QN*NS

24*14 = 21*16

336 = 336

we get a true equation, so we have the proper values

4 0

3 years ago

Today Jason has 123 stamps in his collection. He got 5 stamps at a show last week. Then he got 4 more stamps at a show this week

lozanna [386]

114 stamps he had before

3 0

3 years ago

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Please answer these questions! will mark brainlist!

timofeeve [1]

1st photo....

Yes

Explanation

All when divided becomes 1/3 , so it is proportional...

Pls mark brainliest

2nd photo....

Yes

Explaination

Also when divided becomes 1/3... Same proportional

7 0

2 years ago

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Write an equation that could be used to find the value of x using the interior angles of ∆BDC, then solve it.

Alecsey [184]

9514 1404 393

Answer:

x = 16

Step-by-step explanation:

Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.

Using ∆ABD

55 +90 +2x+3 = 180

2x = 32 . . . . . . subtract 148

x = 16

Using ∆BCD

50 +90 +2x+8 = 180

2x = 32 . . . . . . subtract 148

x = 16

Using ∆ABC

55 +(2x +3) +50 +(2x +8) = 180

4x = 64 . . . . . . . subtract 116

x = 16

6 0

3 years ago

Set 1: 8, 15, 13, 7, 11, 17, 13

Schach [20]

Set two contains an outlier, which is 100
The measure of spread that was most impacted by the outlier is the range
This is because in set two, the median,both quartile and the interquartile range are all closely grouped together but the range is 93, which is far far away from any of those other values

4 0

3 years ago

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