∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.
Answers
Hello there! :)
Vertical angles are congruent, therefore:
∠A ≅ ∠B
3x - 30 = 2x - 9
Subtract 2x from both sides:
3x - 2x - 30 = 2x - 2x - 9
x - 30 = -9
Add 30 to both sides:
x - 30 + 30 = -9 + 30
x = 21.
Answer:
x = 21
Step-by-step explanation:
Vertical angles are congruent, thus
∠ A = ∠ B , substitute values
3x - 30 = 2x - 9 ( subtract 2x from both sides )
x - 30 = - 9 ( add 30 to both sides )
x = 21
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The middle is a square with side length of 12cm
Area of the square = 12 x 12 = 144 cm^2
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Area of triangle = 1/2 x base x height
Area = 1/2 x 12 x 8 = 48cm^2 each
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{x | x ≤ -8}
{x | x ≥ -8}
{x | x ≥ 8}
Answers
Divide both sides by -7, and the inequality sign reverses, because we are dividing by a negative number.
The sign also reverses when you multiply both sides of inequality by a negative number.
-7x/-7 ≤ 56/-7
x ≤ -8
The answer is the first option.
{x | x ≤ -8}
This simply means x, such that x is less than or equal to -8.
I hope this helped.
Answers
5/a + 3 = 3/a - 2 /*a
5 + 3a = 3 - 2a
3a + 2a = 3 - 5
5a = -2
a = -2/5
The correct result would be -2/5.
So
5a = -2
a=-2/5=-0.4
Points (14, 25) and (15, 25)
Points (15, 25) and (18, 26)
Points (14, 25) and (16, 25)
Points (12, 24) and (18, 26)
Answers
Answer:
As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.
Answers
3q+5+2q-5=65
==>5q=65
==>q=13