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3 years ago

The polygons below are similar. Find the value of y

Mathematics

1 answer:

Alja [10]3 years ago

8 0

Answer:

y = 21

Step-by-step explanation:

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What is the solution set for 2x + 2 = 6, given the replacement set {1, 2, 3, 4}?

leva [86]

2x+2=6
2x=4
x=2

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3 years ago

Read 2 more answers

What is the area of this figure?

Paraphin [41]

Area of square
= 7x7
=49
Area of triangle
=0.5x 7x12
=42
Total area of figure
=49+42
=91

Hence, answer is D

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4 years ago

Why do scientists use percentages less than 1

olganol [36]

They use percents less than one to get the the exact number

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4 years ago

The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).

lesantik [10]

Answer:

(a).

$S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\$

(b).

from general equation:

$S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)$

first term is 4n

common difference:

$16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2}$

8 0

3 years ago

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

$time= \frac{k}{rate}$

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

$2.5= \frac{k}{4}$ so k = 10

$3.75= \frac{k}{6}$ so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

$2= \frac{k}{3}$ so k = 6

$3= \frac{k}{4.5}$ so k = 13.5

K values are not same

$2.5= \frac{k}{4}$ so k = 10

$2= \frac{k}{5}$ so k =10

K values are same .

Answer is option C

3 0

3 years ago