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Mariulka [41]
3 years ago
13

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area o

f a geometrically similar patio is 250 square feet, and its long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio?
Mathematics
2 answers:
SpyIntel [72]3 years ago
5 0

x^2/12.5^2=360/250

x/12.5=6/5

x=(6*12.5)/5

x=75/5=15

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

Vilka [71]3 years ago
3 0
Given two similar figures, the ratio of any two corresponding sides measures with the equal in square to the ratio of any two corresponding area measure. Let x be the separation of the two long parallel sides in the larger patio.

x²/12.5<span>² = 360/250
x</span>/12.5<span> = 6/5
x</span><span> = (6*12.5)/5
x</span><span> = 75/5 = 15

That is the corresponding distance on the new patio.</span>
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Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D
Karolina [17]

Answer:

Which statements about the relationship between the two triangles below are true

- Angle C is congruent to angle S (true)

- Angle D is congruent to angle T (true)

- Triangle D C A is similar to triangle T S R (true)

The rest are false.

Complete question;

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.

- Angle C is congruent to angle T

- Angle C is congruent to angle S

- Angle D is congruent to angle T

- Triangle D C A is congruent to triangle T S R

- Triangle D C A is similar to triangle T S R

- Triangle C A D is similar to triangle T R S

- Triangle C A D is congruent to triangle T R S

Step-by-step explanation:

See attached image for more information;

Angle C = 180 - (60+74.9) = 45.1°

Angle T = 180 - (74.9+45.1) = 60°

Therefore;

Angle C = Angle S = 45.1°

Angle D = Angle T = 60°

And

Triangle D C A is similar to triangle T S R

(Note the order of the letters)

The two triangles are not congruent because the length of their sides are not the same.

3 0
3 years ago
What is the value of the expression |a + b| + |c| when a = –6, b = 2, and c = –11?
nika2105 [10]
|-6 + 2| + |-11| 

|4| + |-11|

= 15

Hope i helped! 
3 0
3 years ago
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drek231 [11]

Answer: 9/13

Step-by-step explanation:

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5 0
2 years ago
the annual interest on an 18,000 investment exceeds the interest earned on a 9000 investment by 648. the 18,000 is invested at a
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Let x=annual interest rate of 18000 investment.
Then
18000*x - 9000(x-0.006)=648
Solve for x
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Answer:
the annual interest rate of the 18000 investment is 6.6%
the annual interest rate of the   9000 investment is 6.0%

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3 years ago
UESTION 4
lubasha [3.4K]

Answer:

x = 15.8

Step-by-step explanation:

let the number be x

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8 0
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