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kap26 [50]
3 years ago
7

In order for the parallelogram to be a square, x=?

Mathematics
2 answers:
Anarel [89]3 years ago
6 0

Answer:

7

Step-by-step explanation:

The diagonal cuts the angle into 90/2 = 45 degrees.

4x + 17 = 45

4x + 17 - 17 = 45 - 17

4x = 28

(4x)/4 = 28/4

x = 7

iren [92.7K]3 years ago
5 0

Answer:

<h2>7°</h2>

Step by step explanation

We know that the diagonals of a square bisects it's angles and every angles of square are 90°

m<BCD = 90°

m<BCA = m< DCA = 4x + 17

m<BCA + m<DCA = m <BCD

4x + 17 + 4x + 17 = 90

4x + 4x + 17 + 17 = 90

8x + 34 = 90

8x = 90 - 34

8x = 56

X = 56/8

x = 7

Hope this helps...

Good luck on your assignment...

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the radius of a circle is 10 centimeters. what is the area of a sector bounded by a 90° arc? give the exact answer in simplest f
Alex787 [66]
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle. 

The answer is π25.

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6 0
3 years ago
Read 2 more answers
Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1 1/2 times its abscissa.
rosijanka [135]

Answer:

(2, 3)

Step-by-step explanation:

2x + 5y = 19

5y = -2x + 19

y = -\frac{2}{5} x + \frac{19}{5}

P(abscissa, ordinate)

P(x, 1.5x)

P(2, 3)

3 = -\frac{2}{5} (2) + \frac{19}{5}

3 = -\frac{4}{5} + \frac{19}{5}

3 = 15/5

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8 0
3 years ago
A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the
dem82 [27]

Answer: 320°

Step-by-step explanation:

This is a circle geometry.

The arc length of the circle is given to be 8πcm and the radius is 4.5cm.

Now the length of an arc of a circle is

Arc length = πr0°/180° or 2πr0°/360°

To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go

πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.

πr0° = 8π × 180

0°. = 8π × 180

-----------

π × r

= 8 × 180. 8 × 180

-------- or ---------

9/2. 4.5

= 8 × 180 × 2

------------

9

= 8 × 20 × 2

= 320°

or 8 × 180/4.5

= 1440/4.5

= 320°

4 0
3 years ago
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