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2 years ago

A square is drawn below. What is value of x

Mathematics

1 answer:

Dafna1 [17]2 years ago

4 0

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

The opposite sides of a square are parallel, therefore the given angles are equal by ( Alternate interior Angle pair )

$\qquad \sf \dashrightarrow \:4x + 5 = 2x + 25$

$\qquad \sf \dashrightarrow \:4x - 2x = 25 - 5$

$\qquad \sf \dashrightarrow \:2x = 20$

$\qquad \sf \dashrightarrow \:x = 10$

Hence, correct choice is B

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3 years ago

The circumference of a circle is given by the formula C=2πr. Find r if the circumference is 396 meters and π is 22/7.

larisa86 [58]

Answer:

r = 63 meters

Step-by-step explanation:

C=2πr

We know pi and C

396 = 2*22/7*r

396 = 44/7 *r

Multiply each side by 7/44 to isolate r

396*7/44 = 7/44 *44/7 *r

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2 years ago

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What is the rate of change of the water level , in feet per hour

miskamm [114]

A; rate of change is the same as slope, so, using the slope formula, $m= \frac{y_{2} - y\1_{1} }{ x_{2} - x_{1} }$ , where $m$ is the slope and $x_{1}$ , $x_{2}$ , $y_{1}$ , and $y_{2}$ are the $x$ and $y$ values.

Plug in $2$ points for $x$ and $y$ , water level being the $y$ and time being the $x$ since we're looking for the answer in ft/hr-- you can choose any two, but from the same row.

$m= \frac{ 30-50}{4-0}$
$m= \frac{-20}{4}$
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3 years ago

Which expression is equivalent to (x^4/3 x^2/3)^1/3?

KATRIN_1 [288]

Answer: $x^{\frac{2}{3} }$

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

$(x^{a})(x^{b}) = x^{a + b}$ (Exponents with the same base that are being multiplied together can have the exponents added)

$(x^{a})^{b} = x^{(a)(b)}$ (A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)

Let's apply it!

First, let's simplify what's inside the parenthesis.

$x^{\frac{4}{3} } x^{\frac{2}{3} }$ (Remember, they have the same base of "x", so we can add the exponents)

$x^{\frac{4}{3} + \frac{2}{3} }$ = $x^{\frac{6}{3} }$ = $x^{2}$

Now we have $(x^{2})^{\frac{1}{3} }$ . Let's use the second rule.

$(x^{2})^{\frac{1}{3} }$ = $x^{\frac{2}{3} }$

Hope this helps! :^)

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3 years ago

A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour

aalyn [17]

12x = 10x + 3

Subtract 10x from both sides

2x = 3
Divide by two on each side

x = 3/2 or 1 1/2 hours

Distance of the trip:

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How long does the trip take:

3/2 + 3/2 + 3/10 = 3 3/10 hours

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3 years ago

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