1)
2) is a right angle (perpendicular lines form right angles)
3) is a right triangle (definition of a right triangle)
4) and are complementary (the acute angles of a right triangle are complementary)
Answer:
x = 36
Step-by-step explanation:
Given;
(8/9)x = 32
Solving for x
Multiply through by 9
(8/9)×9 ×x = 32×9
8x = 32×9
Divide through by 8
8x/8 = 32×9/8
x = 36
-14b+28=-10b-30
-4b+28=-30
-4b=-58
b=58/4=29/2
The two different ways of finding the area are,
Case 1 = assume horizontal rectangles,
Case 2 = assume vertical rectangles.
<h3>What is a rectangle?</h3>
the rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Here,
case 1,
As shown in the image
Area = sum of horizontal rectangles
Area = 10 * 3 + 2 * 5 + 2 * 1
Area = 30 + 10 + 2
Area = 42
Case II,
As shown in right figure,
Area of the vertical rectangles
Area = 3 * 5 + 5 * 3 + 2 * 6
Area = 15 + 15 + 12
Area = 42
Here, the area in case 1 is equal to case 2.
Thus, the two different ways of finding the area have shown above.
Learn more about rectangles here:
brainly.com/question/16021628
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You should use Order of Operations or PEDMAS for this (Parenthesis, Exponents, Division and Multiplication in the order they appear, Addition and Subtraction in the order they appear). So we do the 2+12 because that is in parentheses first which gives 14-3+6. Next we do 14-3 because there are no exponents and no division or multiplication, which gives 11+6. This yields your answer, 17.