3 years ago

If the price of an object went up 25% to $10.25 what was the original price?

Mathematics

1 answer:

Naily [24]3 years ago

8 0

Answer:

$8.20

Step-by-step explanation:

125% = 10.25

1% = 0.082

100% = 8.20

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Find the value of x in the triangle shown below. x = 56° 99°

anyanavicka [17]

Answer:

x = 25 degrees

Step-by-step explanation:

All angles in a triangle should add up to 180 degrees. So to solve for x, set up an equation where all three angles added up equals 180.

180 = 99 + 56 + x

180 = 155 + x

25 = x

The unknown angle is equal to 25 degrees.

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4 years ago

Ray NP is angle bisector of angle MNQ and measure of angle PNQ= 2x+1. find measure of angle MNQ

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3 years ago

an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.

dolphi86 [110]

Answer:

$\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}$

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

b - base

h - height

We need a length of a height.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=5,\ leg=h,\ hypotenuse=20$

Substitute:

$5^2+h^2=20^2$

$25+h^2=400$ subtract 25 from both sides

$h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm$

Calculate the area:

$A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2$

8 0

3 years ago