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Slav-nsk [51]
3 years ago
7

0 3 8 15 24 35... What is the next value? The choices are 46, 48, 52, and 59.

Mathematics
1 answer:
Leto [7]3 years ago
7 0
The next value would be 48. The values keep increasing by odd numbers. Like the first one is 3 then it goes to 5.

3, 5, 7, 9, 11, 13.....
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Before she went on a diet, Jenna’s waist measured 32.45 inches.After the diet, it measured 26.97 inches.How many inches did Jenn
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Jenna lost 5.48 inches off her waist.

32.45 - 26.97 = 5.48

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Given the relation R = {(-2, 3), (a, 4), (1,9), (0,7)}.
aniked [119]

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3 years ago
Can anyone help me with these two plz
Evgen [1.6K]

Answer:

Part 1) The scale factor is 1.5

Part 2) The altitude QS is 4\ units

Part 3) The scale factor is \frac{2}{3}

Part 4) The value of x is 12\ units

Part 5) The perimeter of ABCDE is 46\ units

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{NP}{RT}

substitute the values

z=\frac{24}{16}=1.5

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

so

QS=\frac{6}{1.5}=4\ units

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{AB}{FG}

substitute the values

z=\frac{10}{15}=\frac{2}{3}

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

so

AE=FK(z)

substitute the values

AE=18(2/3)=12\ units

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

z=\frac{x}{y}

we have

z=\frac{2}{3}

y=15+9+12+15+18=69\ units

substitute the values

z=\frac{x}{y}

x=(z)(y)=\frac{2}{3}(69)=46\ units

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