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Arte-miy333 [17]
3 years ago
11

Please help!!!!!! please and thank you!!

Mathematics
2 answers:
Shtirlitz [24]3 years ago
4 0
All angles add up to 180 and you know you have a right angle which is 90 degree. So 180-90=90 90/2=45
klemol [59]3 years ago
3 0

Since the sum of the interior angles of a triangle equals 180° and one of the angles is a right angle (90°), the sum of the remaining two angles must equal 90° (180°-90°=90°)

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Find the
irinina [24]

Answer:

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Step-by-step explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

5x + 20 = 180

5x = 160

x = 160/5 = 32

x = 32

Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

153 degrees

Angle CBD:

x - 5 = 32 - 5 = 27

27 degrees

We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

Checks out!

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A rectangle or a parallelogram is a polygon with only 2 congruent sides and 2 congruent angles.
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What are the solutions to the equation |x-3|=14
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x=-11
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The equation of a circle is given below.
BARSIC [14]

<u>Given</u>:

The equation of the circle is x^2+(y+4)^2=64

We need to determine the center and radius of the circle.

<u>Center</u>:

The general form of the equation of the circle is (x-h)^2+(y-k)^2=r^2

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation x^2+(y+4)^2=64 to determine the center.

The given equation can be written as,

(x-0)^2+(y+4)^2=64

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

<u>Radius:</u>

Let us compare the general form of the equation of the circle with the given equation x^2+(y+4)^2=64 to determine the radius.

Hence, the given equation can be written as,

x^2+(y+4)^2=8^2

Comparing the two equation, we get;

r^2=8^2

 r=8

Thus, the radius of the circle is 8

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