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Ksenya-84 [330]
2 years ago
14

In a right triangle, the acute angles measure 2x+50 and 3x degrees

Mathematics
2 answers:
Alika [10]2 years ago
8 0
Triangle int. angles add up to 180 degrees.
In a right triangle, there are 2 acute angles and 1 right angle.

Here are the angles given:
a1) 90°
a2) (2x + 50)°
a3) (3x)°

Use the equation of the sum of interior angles on a triangle and solve for x.

180 = a1 + a2 + a3
180 = 90 + (3x) + (2x + 50)
180 = 90 + 5x + 50
180 = 140 + 5x
  40 = 5x
  /5     /5
    8 = x

Therefore x = 8. Now we can put these values into the acute angles to get the measurement of all angles.

a1 = 90

a2 = 2x + 50
     = 2(8) + 50
     = 16 + 50
     = 66

a3 = 3x
     = 3(8)
     = 24

Therefore, the measurement of all the angles in the triangle is 90°, 66°, and 24°.

Proof:

180 = a1 + a2 + a3
180 = 90 + 66 + 24
180 = 156 + 24
180 = 180

So it is true. Hope I helped.
xenn [34]2 years ago
6 0
2x+50 + 3x= 90 degrees
5x +50 = 90
5x =40
x=8

Angle1= 2(8) +50= 66
Angle2= 3(8)=24

66+24+90= 180
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The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the
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The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

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Required

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First, we get the proportion of the larger angle (from the ratio)

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Find the value of X so that this quadrilateral is a parallelogram. Then substitute the value of X and using the parallelogram an
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4 0
3 years ago
PLS HELP ME I WILL MARK THE BRAINLIEST
Serga [27]

Answer:

1. 155 yd², 2. 379.54 ft², 5. x = 65.82π

Step-by-step explanation:

1. A = (1/2) · (3 + 13) · 8

A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²

2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²

3. and 4. Sorry, I don't know how to solve these

5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
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Hope this helps :)

7 0
2 years ago
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