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Eva8 [605]
3 years ago
12

What is the perimeter,in centimeters of triangle QRS?

Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer: 60

Step-by-step explanation:

You have to use Pythagorean Theorem because the other side is not listed of the triangle

Pythagorean Theorem: a² + b² = c²

a²  + 20²  = 25²

a²  + 400 = 625

625-400 = a²

a²  = 225

Find the square root of 225 to find the missing length

\sqrt{225} = 15 (this is the missing length for QS

To find the perimeter, add all the sides...

15 + 20 +25 = 60

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ale4655 [162]

Answer:

(a)

x = 18.5

y = 22.5

(b)

x = 10

Step-by-step explanation:

Solving (a):

7x - 19 and 3x + 14 are interior angles.

So:

7x - 19 + 3x +14 = 180

Collect like terms

7x + 3x = 180 - 14 + 19

10x = 185

x = 18.5

7x - 19 and 5y - 2 are equal angles --- corresponding angles

So:

5y - 2 = 7x - 19

Make 5y the subject

5y  = 7x - 19+2

5y  = 7x -17

Make y the subject

y = \frac{1}{5} (7x - 17)

Substitute x = 18.5

y = \frac{1}{5} (7*18.5 - 17)

y = \frac{1}{5} (112.5)

y = 22.5

Solving (b):

The triangle is right-angled.

So:

5x + 3 + 2x + 17 + 90 = 180

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5x + 2x = 180 - 90 - 17-3

7x = 70

x = 10

3 0
3 years ago
Im just trynna see if im correct but this is urgentt
koban [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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koban [17]

Answer:

A. 7\frac{34}{24}

Step-by-step explanation:

We are given  the expression, 8\frac{10}{24}

On re-writing the expression after borrowing 1, we have,

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3 years ago
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Gekata [30.6K]

<u>Complete Question</u>

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.  

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Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

  • Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

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Also,

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Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

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