3 years ago

Find the measure of each angle indicated

Mathematics

1 answer:

Oliga [24]3 years ago

8 0

The question marked angle is equal to 138

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A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.

jekas [21]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

$a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0$

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

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3 years ago

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If (a, -5) is a solution to the equation 3a = -2B - 7, what is a?

Andrew [12]

I think what you need to do is make B = -5
3a = -2(-5) - 7
3a = 10 - 7
3a = 3
a = 1

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A pair of Air Force 1 shoes went from $40 to $48. What is the percent increase for these shoes?

kompoz [17]

Answer:

Hi, the price went up by 20%

Hope this helps

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How many equal sections divide a directed line segment if it is to be partitioned with a 7:10 ratio?

Dafna11 [192]

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Slope formula is y2-y1 over x2-x1, which will give you -6.

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