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Kisachek [45]
3 years ago
6

Find the measures of the angles given

Mathematics
1 answer:
dexar [7]3 years ago
6 0

Answer:

BCD = 60

ABD - 90

Step-by-step explanation:

BCD)

BC and CD are the same length on in the circle, they are the radius. Therefor,  all angles will be the same at 60

ABD)

All angles together are 180

You know 2 Angles, A at 30 and D at 60

180 - 30 - 60 = Angle B

90 = Angle B

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Find a side of an equilateral triangle with a 12 inch altitude
saveliy_v [14]
Since the triangle is an equilateral triangle we know all of it's sides must be the same length, with that in mind the angles that make up the triangle must be equal as well. Knowing that a triangle's three interior angles make up 180 degrees we know that the size of each angle must be one third of this (as each angle must be equal).

180/3 = 60


then we may split the triangle along it's altitude into two special right triangles
more specifically two 30-60-90 triangles.

this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"

this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.

12= x*sqrt(3)
12/sqrt(3)=x
4sqrt(3)=x  (simplifying the radical we get "x" equals 4 square root 3)

now we may solve for the side length of the triangle which is "2x"

2*4sqrt(3) ->   8sqrt (3)  

eight square root of three is the answer.
8 0
3 years ago
Solve by elimination:<br> 2x + 4y = 34<br> x+4y = 27<br> A (7,-5)<br> B (6,6)<br> (7,5)<br> (5,7)
julsineya [31]

Answer:

(7,5)

Step-by-step explanation:

{2x + 4y = 34

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2x + 27 - x = 34

x=7

4y = 27 - 7

y = 5 so the answer is ( 7,5)

3 0
3 years ago
Read 2 more answers
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Natali5045456 [20]

Answer and Step-by-step explanation:

If we put -\frac{9}{20} into decimal form, we get -0.45.

-0.45 is greater than -0.5, so,

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3 years ago
Chan receives a bonus from his job. He pays 30% taxes, pays 30% charity and 25% debt. Has $600 remaining from his bonus. What wa
Verdich [7]

Answer:

b = $4000

Step-by-step explanation:

Let b represent the bonus amount.

Then the bonus, b, less the three deductions, is represented by

b - 0.30b - 0.30b - 025b, and this comes to $600.  Find the value of b.

b - 0.85b = $600, or

0.15b = $600

Then b = $4000

8 0
3 years ago
Which is greater 4 ft 7 inches or 56 inches
jok3333 [9.3K]
1 ft = 12 in.
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4 ft 7 in. = 48 in. + 7 in. = 55 in.

4 ft 7 in. < 56 in.
8 0
3 years ago
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