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3 years ago

In a right triangle, the acute angles measure x + 15 and 2x degrees. What is the measure of the smallest angle of the triangle?

1 answer:

5 0

The sum of the three angles of a triangle is always 180 degrees. If the triangle is right, which means one of the angles measures 90 degrees, the other two angles should add up to 90 degrees. With this condition and the given above, x + 15 + 2x = 90. Solving for x in the equation gives x = 25. Substituting x to the given expression for the acute angles gives the measurements of 40 and 50 degrees. Thus, the smallest angle of the triangle is <em>40 degrees</em>.

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3 years ago

Write an algebraic expression for the phrase the sum of g and 3

Paraphin [41]

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4 years ago

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3 years ago

The area of a trapezium is 800 cm2

svlad2 [7]

Answer:

The distance between the parallel sides is 20cm.

Step-by-step explanation:

Area of a trapezoid:

$A=\frac{a+b}{2}\times h$

where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.

3 of the 4 variables in this equation are already given:

A = 800

a = 48

b = 32

Just plug those in and solve for h:

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5 0

3 years ago

Read 2 more answers

Is 1 + 4 (3x - 10) - 12 equivalent to -9

Phoenix [80]

Answer:

No.The answer should be -4.1

Step-by-step explanation:

1+4(3x-10)-12

5(3x-10)-12

15x-50-12

15x-62

x=-62/15

x=-4.1

6 0

4 years ago