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ella [17]
3 years ago
10

Find the value of the variable.

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

Answer:

z = 20

Step-by-step explanation:

Assuming the triangles are similar write a proportion between the side lengths to solve for z.

\frac{9}{15}=\frac{32-z}{z}

To solve for z, multiply the numerator and denominator of each fraction.

9z = 15(32-z)

9z = 480 - 15z

24z = 480

z = 20

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6m+7n+5m−3n simpified
diamong [38]

Answer:

11m + 4n

Step-by-step explanation:

when two numbers with the same variable are added together or subtracted the result is just the numbers added or subtracted. So you can add 6m and 5m to get 11m. and you can subtract 3n from 7n to get 4n

11m + 4n

6 0
2 years ago
Which of the following sets of data will have the smallest Standard Deviation?
uranmaximum [27]

Answer: D

Step-by-step explanation:

Standard Deviation σ2 =

Σ(xi - μ)2/N

=(1 - 5.3)2 + ... + (9 - 5.3)2/10

=68.1/10

= 6.81

σ = √6.81

= 2.60959767014

B) σ2 =

Σ(xi - μ)2/N

=(3 - 61.7)2 + ... + (99 - 61.7)2/10

=58414.1/10

= 5841.41

σ = √5841.41

= 76.429117488036

C) (1 - 11.4)2 + ... + (1 - 11.4)2/10

=8758.4/10

= 875.84

σ = √875.84

= 29.59459410095

D) (79 - 79)2 + ... + (79 - 79)2/10

=0/10

= 0

σ = √0

= 0

I hope this helps, mark as Brainliest please.

6 0
3 years ago
Ruben and Tariq have 245.5 downloaded minutes of
Strike441 [17]

Answer:

113.5

Step-by-step explanation:

R+T= 245.5

R=132

245.5-R=T

245.5-132=113.5

T=113.5

8 0
3 years ago
Read 2 more answers
What is the value of n?
faltersainse [42]

Answer:

  69

Step-by-step explanation:

The sum of exterior angles is 360°, so ...

  n° +131° +160° = 360°

  n° = 360° -291° = 69°

  n = 69

7 0
3 years ago
Sam started a dog-walking business. He charges $5 for each dog for a thirty-minute walk. How much dor
solong [7]

Answer: \$10,\ \$5

Step-by-step explanation:

(a) Given

Sam charge $5 for each dog for a thirty minute walk

For an hour which is double the thirty minutes, it must be double of the same charge.

\Rightarrow 2\times 5=\$10

(b)Given

With $20, Christie sells 100 cups of lemonade with a quarter per cup charge

For 100 cup, she generate a revenue of

\Rightarrow \dfrac{1}{4}\times 100\\\\\Rightarrow \$25

So, she earns 25-20=\$5 that is , her profit is \$5

7 0
3 years ago
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