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SSSSS [86.1K]
2 years ago
8

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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8 0
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

63 =r

7 0
2 years ago
Read 2 more answers
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}
m= \frac{-5}{1}
m= -5 ft/hr

4 0
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} <em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>

(x^{a})^{b} = x^{(a)(b)} <em>(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)</em>

<em />

Let's apply it!

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

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

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! :^)

7 0
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:

12 * 2 * 3/2 = 36 miles

How long does the trip take:

3/2 + 3/2 + 3/10 = 3 3/10 hours
6 0
3 years ago
Read 2 more answers
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