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Ulleksa [173]
3 years ago
5

Quadrilateral ABCD is shown. If m angles?

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer: m∠BCE = 63°

              m∠BAD = 76°

Step-by-step explanation:

Problem 1:

Given

m∠BEC = 90°

m∠EBC = 27°

Total = 117°

Solution:

Subtract 180° - 117° = m∠BCE = 63°

Problem 2:

Given

m∠ADE = 52°

m∠ABE = 52°

Total = 104°

Solution:

Subtract 180° - 104° = m∠BAD = 76°

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sveticcg [70]
Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
8 0
3 years ago
How to solve for a missing side length of a triangle (NOT a right triangle) when one side is 4m and another side is 3m, and the
Alenkasestr [34]

Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

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Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

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square root both sides

c = √37

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c ≈ 6.08 m

4 0
3 years ago
The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes
Komok [63]
4%

To find the percentage, first find the area of both circles. The area formula is \pi  r^{2} . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up: 

\frac{is}{of} =  \frac{percent}{100}


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Cross multiplying and dividing by 490.625 will give a total of 4%.



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3 years ago
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mario62 [17]

Answer:

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Step-by-step explanation:

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