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4 years ago

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 to 64

Mathematics

2 answers:

Orlov [11]4 years ago

4 0

5 over 8

40/64→20/32→10/16→5/8

k0ka [10]4 years ago

4 0

Answer:

5/8

Step-by-step explanation:

you find out what they both go into which is 4

you do 40÷4= 10 and 64÷4=16

10 and 16 both go into 2 so you divide both 10 and 16 by 2

so your final answer is 5/8

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A and B are complementary to each other. If m∠A = 26° + x and m∠B = 38° + x, what is the value of x?

Zigmanuir [339]

A. 13

Step-by-step explanation:

What we are given....

∠A = 26° + x

∠B = 38° + x

∠A and ∠B are complementary

If complementary angles add up to equal 90° and ∠A and ∠B are complementary to each other

Then 26 + x + 38 + x = 90

^ ( Note that we just created an equation that we can use to solve for x )

Now its just basic algebra

26 + x + 38 + x = 90

step 1 combine like terms

26 + 38 = 64

x + x = 2x

we now have 64 + 2x = 90

step 2 subtract 64 from each side

64 - 64 cancels out

90 - 64 = 26

we now have 26 = 2x

step 3 divide each side by 2

26 / 2 = 13

2x / 2 = x

we're left with x = 13

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3 years ago

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4 years ago

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Bogdan [553]

Answer:

Step-by-step explanation:

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3 years ago

If B is the midpoint of AC, and AC= 8x-20, find BC.

Semmy [17]

Answer:

BC = 4x-10

Step-by-step explanation:

$\because B$ is the midpoint of AC.

$\therefore BC = \frac{1}{2} AC$

$\therefore BC = \frac{1}{2} (8x-20)$

$\therefore BC = \frac{1}{2} \times 2(4x-10)$

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3 years ago

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: $\mathbf{Length = a -5}$ and $\mathbf{Width = a^2 + 5a + 25}$

The area is given as:

$\mathbf{Area = a^3 - 125}$

Express 125 as 5^3

$\mathbf{Area = a^3 - 5^3}$

Apply difference of cubes

$\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}$

$\mathbf{Area = (a - 5)(a^2 + 5a + 25)}$

The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, by comparison:

$\mathbf{Length = a -5}$

$\mathbf{Width = a^2 + 5a + 25}$