<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:
Obtaining the area or perimeter is the easiest and basic skills in geometry, however, when combining several plane figures, composite shapes are formed, which can include: squares, circles, triangles, rectangles, trapezoids, etc.
To obtain the area or perimeter of this type of figures should analyze the figure and follow these steps:
STEP I
♦ Must identify which figures form the total.
STEP II
♦ Analyze if there are parts of the figures that you will not need, for example the sides that join two or more figures.
STEP III
♦ Obtain separately the areas and perimeters of each figure
STEP IV
♦Add the obtained in each figure.
Hope it helps you!
Step-by-step explanation:
Answer:
3 3/10
Step-by-step explanation:
In order to do this, you need to find the least common multiple. When you do that, you get 5/10 and 2 8/10. Next, what you what to do is turn 2 and 8/10 to an improper fraction, and when you do that you get 28/10. Add 28/10 and 5/10 to get 33/10. Simplify 33/10, and the correct answer is 3 3/10.
Step-by-step explanation:
a could be 3580 X 1.25^n
b could be 6992.19
dk c
Step 
<u>Find the slope of the given line</u>
Let
slope mAB is equal to
Step 
<u>Find the slope of the line that is perpendicular to the given line</u>
Let
CD ------> the line that is perpendicular to the given line
we know that
If two lines are perpendicular, then the product of their slopes is equal to 
so
Step 
<u>Find the equation of the line with mCD and the point (3,0)</u>
we know that
the equation of the line in the form point-slope is equal to
Multiply by both sides
therefore
the answer is
the equation of the line that is perpendicular to the given line is the equation
