The answer is .0083333333
<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
A number that is greater than 0 is called a positive number
Step-by-step explanation:
Any number greater than zero is called a positive number.
On the number line, all the numbers greater than zero are to the right of zero.
In the on xy coordinate plane, a number greater than zero is located above the x-axis.
Hence the word which best completes the given statement is positive number
<h3>
Answer:</h3>
A: 6 ft²
B: 3 ft² is the area of each of the two congruent triangles
<h3>
Step-by-step explanation:</h3>
Part A. As with a rectangle, the area of a parallelogram is the product of base length and height.
Area = (8 ft)·(3/4 ft) = 6 ft²
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Part B. If you cut the area into two halves, each half will have half the area of the original. (That should not be a surprise.)
triangle area = (6 ft²)/2 = 3 ft²
If the triangles are created by a diagonal across the original figure, each will have a base length and height that is the same as that of the original figure. The area of a triangle is half the product of base and height, so each triangle will have area ...
triangle area = (1/2)bh = (1/2)(8 ft)(3/4 ft) = 3 ft²
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = (a*b) + (a*c)
45 = 40 + 5
5* 45 = 5* (40 + 5)
= 5*40 + 5*5
= 200 + 25
= 225
