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riadik2000 [5.3K]
3 years ago
15

Find the value of x, please help

Mathematics
2 answers:
kifflom [539]3 years ago
6 0

Answer:

<h2>x = 90 (verified answer) ✅</h2>

Step-by-step explanation:

There are 360° of measure in a quadrilateral. By the definition of a parallelogram, we know that the angle opposite the labeled angle will have the same measure as that labeled angle.

So, 12x + 12x + 8x + 8x = 360

Simplifying all the x's gives us:

40x = 360

Divide by 40

x = 90

Now, we check this

40 (90) = 360

360 = 360 ✅

Sergeu [11.5K]3 years ago
5 0
12x and 8x form a linear pair, so the equation would be- 12x+8x=180
Then, combine like terms- 20x = 180.
Lastly, divide by 20 on both sides.
x=9
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Mike hiked to a lake in 4.5 hours at an average rate of 2
aleksandrvk [35]

Answer:

It took Pedro  <em>3.81 hours</em> to reach the lake.

Step-by-step explanation:

Time taken by Mike to hike a lake = 4.5 hours

Average rate of Mike while hiking the lake = 2\frac{1}{5}\ miles/hr

Formula for distance can be seen as:

Distance = Speed\times Time

Distance traveled by Mike = 4.5 \times 2\frac{1}{5} = 4.5\times \frac{11}{5} = 9.9\ miles

Rate of Pedro while hiking the same distance = 2\frac{3}{5}\ miles/hr = \frac{13}{5}\ miles/hr

Given that, Pedro also travels the same distance.

And we have to find the Time.

Time = \dfrac{Distance}{Speed}

Time = \dfrac{9.9}{\frac{13}{5}}\\\Rightarrow Time = \dfrac{9.9\times 5}{13} = \bold{3.81\ hours}

It took Pedro  <em>3.81 hours</em> to reach the lake.

6 0
3 years ago
Which polynomials are prime? Check all that apply. 15x ^ 2 + 10x - 9x + 7 20x ^ 2 - 12x + 30x - 18 6x ^ 3 + 14x ^ 2 - 12x - 28 8
NARA [144]

Answer:

15x2+10x-9x+7

8x3+20x2+3x+12

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Step-by-step explanation:

7 0
3 years ago
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Please help question in picture!
eduard

Answer:

b

Step-by-step explanation:

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3 years ago
Find the slope line (-2 -1) and (-4 -7)
Alenkinab [10]

Answer:

m=3

Step-by-step explanation:

Slope formula

m=\frac{y_2-y_1}{x_2-x_1}

Here

(x_1, y_1) = (-2, -1) \ \ and \ \ (x_2, y_2) = (-4, -7)

Slope can be calculated as

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m= \frac{-6}{-2} \\m=3

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3 years ago
The scale on the architectural plans for a new house is 1 in. equals 4 ft. Find the length and width (in ft) of a room that meas
Oksi-84 [34.3K]

Answer: the actual length and width of the room is 24ft by 36ft

Step-by-step explanation:

The scale on the architectural plans for a new house is 1 in. equals 4 ft. This means that every 1 inch on the on the architectural plan represents 4 feet on the actual building.

Therefore, if the length of the room as measured on the drawing is 6 inches, the actual length of the room will be

6 × 4 = 24 feet

Also, if the width of the room as measured on the drawing is 9 inches, the actual width of the room will be

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3 years ago
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