Suzanne purchased a sweater for $25 after applying a coupon on tax free weekend. The original cost of the

Mathematics

1 answer:

Fynjy0 [20]3 years ago

3 0

Answer:

The percentage discount is 37.5

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The perimeter of the cover of a math textbook is 34 inches. if the width of the cover is 7 inches, what is the length of the cov

Sauron [17]

The length would be 10 inches.
to find perimeter, you add length+length+width+width.
since both widths and both lengths have to be the same, u add the width 2 times or 7+7=14.
next u subtract 14 from 34 or 34-14=20.
since u still have 2 lengths that are equal, u divide 20 by 2 or 20/2=10

hope this helps! :)

7 0

3 years ago

Angle (<) E and <F are vertical angles. If m<E = 17x+1 and m<F =20x-14, find m<F.

ELEN [110]

The vertical angles theorem states that vertical angles are congruent to each other. Since angles E and F are vertical angles, this means you can make them equal to each other in an equation.

m∠E = m∠F

17x + 1 = 20x - 14

Subtract 20x from both sides.

-3x + 1 = -14

Subtract 1 from both sides.

-3x = -15

Divide both sides by -3.

x = 5

Substitute 5 for x in m∠F (20x - 14).

20(5) - 14 = 86

m∠F = 86°

5 0

4 years ago

Answer quickly please Which number is the BASE?<br> 2 = 8

Sunny_sXe [5.5K]

Answer:

The base of the number is 8

5 0

3 years ago

Find the missing angle?

bixtya [17]

Answer:

$55.23$

Step-by-step explanation:

In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:

$sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}$

Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.

$sin(\theta)=\frac{opposite}{hypotenuse}$