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Lostsunrise [7]
3 years ago
9

An isosceles, obtuse triangle has one angle with a degree measure that is 50$\%$ larger than the measure of a right angle. What

is the measure, in degrees, of one of the two smallest angles in the triangle? Express your answer as a decimal to the nearest tenth.
Mathematics
1 answer:
Ainat [17]3 years ago
3 0

Answer: 22.5°

Each of the two smallest angles in the triangle are 22.5°

Step-by-step explanation:

Isosceles triangle is a triangle with two equal sides and two equal angles

The largest angle is 50% more than right angle

Let L represent the largest angle

L = 150% of 90°

L = 1.5 × 90°

L = 135°

The other two angles are equal and can be represented by x

Sum of angles in a triangle is 180°

L + x + x = 180°

2x = 180 - L

x = (180 - 135)/2

x = 45/2

x = 22.5°

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5 0
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PLEASE ANSWER CORRECTLY WILL GIVE 15 PTS! Solve each of the following inequalities.
Kitty [74]

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5 0
3 years ago
A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in sta
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Area = length * width

length: x + 3

width: x - 5

A = (x + 3)(x - 5)

Simplify (x + 3)(x - 5) using the FOIL method:

 

1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x

3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

4. Last numbers: multiply the last number of each binomial--3*-5 = -15

==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

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