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Umnica [9.8K]
3 years ago
15

If m R = 29, what is m O? The figure is not drawn to scale

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
3 0
Cccccccc.................
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I need help finding the solution
Ilya [14]
<h3>Answer:  226 degrees</h3>

=====================================================

Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

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

Use this x value to find the measure of arcs DC and CB

  • arc DC = 12x+7 = 12*5+7 = 67
  • arc CB = 18x-23 = 18*5-23 = 67

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

7 0
3 years ago
Help plz! Will mark as brainiest JUST HELP PLZ
Volgvan

1) The lengths of the other 2 sides are 51 feet.

Isosceles triangles have at least 2 equal sides. The base is 60 feet, so we can assume that the other 2 sides are equal

162 = 60 + 2x

x = the equal sides of the triangle.

162 - 60 = 102

102 = 2x

Divided by 2

51 = x

51 + 51 = 102. 102 + 60 = 162

2)

Pool 1: 311.38ft.

8*19.4 = 155.2

8 * 5.7 * 2 = 91.2

5.7 * 5.7 = 32.49/2 (because its a triangle) = 16.254*4 = 64.98

155.2 + 91.2 + 64.98 = 311.39

Pool 2: Either 863.94ft or 484 + 121πft

22 * 22 = 484

22/2 = 11, So, the radius of the half circle is 11

Circle area = (pi)r^2

11*11 = 121

pi * 121 = 121pi

Using 3.14 substitute: 3.14 * 121 = 379.94

379.94 + 484 = 863.94

Pool 3: 207ft

Rhombus area = pq/2

18 * 12 = 216

216/2 = 108

11 * 18 = 198/2 = 99

99 + 108 = 207

7 0
3 years ago
What is the factored form of the polynomial 3x-3y
sladkih [1.3K]

Answer:

Step-by-step explanation:

3x - 3y = 3(x-y)

5 0
3 years ago
For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid
Varvara68 [4.7K]
The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base

We have the side of the square, so the area is = 10×10 = 100

We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.

Using the Pythagoras rule
Height of triangle = \sqrt{12^{2}+ 5^{2} } =13

Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches

3 0
3 years ago
Read 2 more answers
Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in
Readme [11.4K]

Answer:

\huge\boxed{7\  \text{inches}}

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

Hope this helped!

3 0
3 years ago
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