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pav-90 [236]
3 years ago
14

In a right triangle the acute measure x+15and2x degrees. What is the measure of the larger acute angle of the triangle

Mathematics
1 answer:
denpristay [2]3 years ago
7 0
All 3 angles need to equal 180 degrees
 the right angle = 90 degrees
 so the other 2 angles need to equal 180 - 90 = 90 degrees

 so now you have x +15 + 2x =90

combine like terms 3x +15 = 90

subtract 15 from each side: 3x = 75

divide each side by 3: x  = 75/3 = 25

x = 25
 x+15 = 25+15 = 40
2x = 2*25 = 50
 the larger angle is 50 degrees




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6 0
3 years ago
A rectangular mural has dimensions of (x + 10) and (x + 3) feet. If the area of the mural is 60
Crank

Answer:

Dimensions are 12 , 5

Step-by-step explanation:

Area of rectangular mural = length * width

length * width = 60 square feet

(x + 10)(x + 3) = 60

Use FOIL method

x*x + x*3 + 10*x + 10*3 = 60

x² + <u>3x + 10x</u> + 30 = 60      {Combine like terms}

x² +<u> 13x</u> + 30 - 60 = 0

x² + 13x - 30 = 0

Sum = 13

Product = -30

Factors =  15 , -2     (15+ (-2) = 13 ; 15*(-2) = -30)

x² + 15x - 2x - 30 =0  {Rewrite middle terms}

x(x + 15) - 2(x + 15) = 0

(x + 15)(x - 2) =0

x - 2 = 0             {Ignore (x +15) as dimensions wont have a negative value}

x = 2

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Dimensions are 12 , 5

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3 years ago
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