Step-by-step explanation:
= -4 + 12 + (-9)
= -4 + 12 - 9
= -4 + 3
= -1
Simplification = 3.5x + 2.5x
Result = 6x
Answer:

Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

where <em>a</em> and<em> b</em> are the legs and <em>c</em> is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:
Substitute these values into the formula.

Solve the exponents.
- (9 cm)²= 9 cm*9 cm=81 cm²

- (11 cm)²= 11 cm*11 cm= 121 cm²

Add the values on the left side.

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.



We are told to round to the nearest tenth.
The 1 in the hundredth place tells us to leave the 2 in the tenth place.

The hypotenuse is equal to <u>14.2 centimeters.</u>
Answer:
27.74cm^2
Step-by-step explanation:
area of circle: 3 times 3 times pi = 28.26cm^2
area of square: 8 times 7 = 56cm^2
subtract area of circle from square
56-28.26=27.74cm^2
Answer:
<u>Angle 1</u>= 180 - 110 = 70 (straight angle)
<u>Angle 2</u> = 180 - 115 =65 (straight angle)
<u>Angle 3</u>= angle 2 =65 (corresponding alternating angles)
<u>Angle 4</u> =180 - angle3 = 180 - 65 = 115 (straight angle)
<u>Angle 5</u> = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45 (sum of triangle angles is equal to 180)
<u>Angle </u><u>6</u> = angle 5= 45 ( interior alternating angles)
<u>Angle</u><u> </u><u>7</u><u> </u>= angle 6= 45 (vertical opposite angles)
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