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3 years ago

(9x – 9) (3x + 9)°/B Find the measure of ABC

Mathematics

1 answer:

katrin2010 [14]3 years ago

5 0

Answer:

<ABC = 54 degrees

Step-by-step explanation:

Taking the sum of angle on the straight line ABD as 180 degrees

3x+9 + 9x - 9 =180

12x = 180

x = 180/12

x = 15 degrees

Since <ABC = 3x+9 (vertically opposite angles)

<ABC = 3(15)+9

<ABC = 45+9

<ABC = 54 degrees

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Which number has both 2 and 5 as prime factors?

musickatia [10]

Answer:

Any multiple of 10

Step-by-step explanation:

A factor is defined as "a number or quantity that when multiplied with another produces a given number or expression." For example, the factors of 20 are 1, 2, 4, 5, 10, and 20.

When we multiply 2 and 5 together, we get 10. Multiplying this by anything else besides 0 will still yield something that has 2 and 5 as factors, for example 2 times 5 times 3 is 30. As this is just the same thing as multiplying 10 by 3, the answer is any multiple of 10.

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3 years ago

A line segment has the endpoints P(0, –6) and Q(–3, –7). Find the coordinates of its midpoint M.

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Step-by-step explanation:

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2 years ago

An airline offers daily flights between Chicago and Denver. The total monthly cost C (in millions of dollars) of these flights c

Ira Lisetskai [31]

Answer:

6250

Step-by-step explanation:

Fill in the given number and solve for x. The answer is 1000x, rounded.

$C=\sqrt{0.2x+1}\\\\1.5=\sqrt{0.2x+1} \quad\text{use given value for C}\\\\2.25=0.2x+1 \quad\text{square both sides}\\\\1.25=0.2x \quad\text{subtract 1}\\\\6.25=x \quad\text{multiply by 5}$

x is in thousands, so 6.25×1000 = 6,250 passengers flew in June.

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3 years ago

What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$