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natali 33 [55]
3 years ago
9

What is the length of the unknown side?

Mathematics
1 answer:
777dan777 [17]3 years ago
4 0

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

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Angle M has a measure of 36° and Angle N has a measure of 24°. Are these two angles congruent?
Verdich [7]
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8 0
3 years ago
I’m not sure how to slove this problem it’s a equilateral triangle and I’m trying to find out what the side is equal to.
Tamiku [17]

Answer as a fraction: AB = 127/13 (exact)

Answer in decimal form: AB = 9.76923 (approximate)

Sides AC and BC are the same length as AB.

=====================================================

Work Shown:

AB = (3/2)x+4

AC = (1/5)x+9

These sides are equal to each other since all sides of an equilateral triangle are the same length.

AB = AC

(3/2)x+4 = (1/5)x+9

10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below

10*(3/2)x + 10*4 = 10*(1/5)x + 10*9

15x + 40 = 2x + 90

15x-2x = 90-40

13x = 50

x = 50/13

Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.

------------

Once we know what x is, we plug it into the expression for AB

AB = (3/2)x+4

AB = (3/2)*(50/13) + 4

AB = (3*50)/(2*13) + 4

AB = (3*2*25)/(2*13) + 4

AB = (3*25)/(13) + 4

AB = 75/13 + 4

AB = 75/13 + 52/13

AB = (75+52)/13

AB = 127/13 which is exact

AB = 9.76923 which is approximate

Because we have an equilateral triangle, AB = BC = AC.

8 0
3 years ago
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Answer:

(4,-3)

Step-by-step explanation:

Multiplying the bottom equation by -6, we get -6x+12y=-60.

Adding this to the first equation gives 15y=-45, and thus y=-3.

So, it follows that 6x+3(-3)=15, and thus x=4.

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2 years ago
What number has a 9 with a value ten times as many as the 9 in 39,154
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Answer:

Any number with 9 in the ten-thousands place. 90,000 is one such number.

Step-by-step explanation:

The 9 in 39,154 is in the thousands place. Its value is 9,000. In order for the 9 in a number to have a value 10 times that, or 90,000, the 9 must be in the ten-thousands place.

There are an infinite number of such numbers. We suspect you have a list you are to choose from. Pick the number with 9 where it is in the number 90,000.

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Ksenya-84 [330]

Answer:

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