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kherson [118]
3 years ago
11

These polygons are similar. Find the value of z.

Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer:

10

Step-by-step explanation:

Find the two similar sides which are already measured.

6 and 9 are those numbers.

Use similarity proportional ratio:

6/9 = z/15

Cross multiply:

9z = 15 × 6

9z = 90

z = 90 ÷ 9

z = 10

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Application
user100 [1]

He needs to run with approximately 6429 for a distance of 9 km

<h3>How to determine the number of strides?</h3>

The given parameters are:

Length of stride = 1.4 m

Distance for marathon = 9 km

The number of strides needed is then calculated as:

Number of stride = Distance for marathon/Length of stride

Substitute the known values in the above equation

Number of stride = 9km/1.4m

Convert km to m

Number of stride = 9000m/1.4m

Evaluate the quotient

Number of stride = 6428.57143

Approximate the estimate

Number of stride = 6429

Hence, he needs to run with approximately 6429 for a distance of 9 km

Read more about quotients at:

brainly.com/question/8952483

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6 0
2 years ago
Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?
Schach [20]

Answer:

C.17 years old

Step-by-step explanation:

consecutive means that they come after each other

17+16+15=48

4 0
2 years ago
Read 2 more answers
What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


5 0
3 years ago
Read 2 more answers
Help please I will give you the brainliest
luda_lava [24]

Answer:

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.

Step-by-step explanation:

6 0
3 years ago
If θ is an acute angle and sin θ = 2 1 , then cos θ =
ss7ja [257]
First of all i think theres a mistakein the question;
i think it is sin θ = \frac{1}{2}

and then sin 30° = \frac{1}{2}

thus θ= 30°\frac{ \sqrt{3} }{2}
3 0
3 years ago
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