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victus00 [196]
3 years ago
6

Does anyone know the answer??

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

it's c

the slope is 5/2 and the y intercept is 10

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A challenge to all math experts...
earnstyle [38]

Answer:

75

Step-by-step explanation:

<em><u>Refer to attachment</u></em>

As the first step extending the segment BC until intersection with AD.

Since ∠A + ∠B = 90° we get right triangle by extending CB

Naming the segments a, b, c, d as pictured

<u>The are of (ABCD) is equal to sum of areas of two right triangles:</u>

  • Area = 1/2c(a+b) + 1/2bd

<u>Substitute d with a-c as a = c+d, then:</u>

  • Area = 1/2(ac+bc) + 1/2b(a-c) = 1/2(ac + bc + ab - bc) = 1/2(ab + ac)
  • Area = 1/2(ab+ac)

<u>Applying Pythagorean to small triangle:</u>

  • 10² = b² + (a-c)²
  • 100 = b² + a² - 2ac + c²

<u>Applying Pythagorean to bigger triangle:</u>

  • 20² = (a+b)² + c²
  • 400 = a² + 2ab + b² + c²

<u>Subtracting equations we got:</u>

  • 400 - 100 = a² + 2ab + b² + c² - (b² + a² - 2ac + c²)
  • 300 = 2ab + 2ac

<u>This gives us the 4 times of the area which is 1/2(ab + ac), so the area is </u>

  • 300/4 = 75

7 0
4 years ago
How to solve for Area of trapezoid
Flauer [41]
Area of a trapezoid is found with the formula, A=(a+b)/2 x h.
7 0
3 years ago
Read 2 more answers
A city has a population of 350000 the population has decreased by 30% in the past ten years what was the population Of the city
FromTheMoon [43]

Answer:

30% x 350000 + 105000

Step-by-step explanation:

30

100

(350000)

=(

30

100

)(

350000

1

)

=(

3

10

)(

350000

1

)

=

(3)(350000)

(10)(1)

=

1050000

10

=105000

4 0
1 year ago
Evaluate the Expression<br> 5 + [1/6 x (4 + 2)] <br><br> A.6<br> B.7<br> C.9<br> D.11
Contact [7]

Answer:

A.6

Step-by-step explanation:

Step 1: Do the parenthesis first, 4+2 = 6

Step 2: Multiply: 6 x 1/6 = 1

Step 3: 1 + 5 = 6, So the answer is A. 6

8 0
4 years ago
Angle AOD=69°
Evgesh-ka [11]

The value of <em>x</em> where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is <em>x </em>= 23°

<h3>What is the exterior angles theorem?</h3>

The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.

The given parameters are;

Points on the circle are; ABCD

Straight lines = AOBE and DCE

Segment CO = Segment CE

∠AOD = 69°

∠CEO = x°

∠OCD = ∠ODC base angles of isosceles triangle

69° = ∠x° + ∠ODC exterior angle of a triangle

∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)

180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)

x° + 69° - 2×∠ODC = 0

∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)

69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)

69° = 3·x°

x = 69° ÷ 3 = 23°

  • x = 23°

Learn more about angles in a triangle here:

brainly.com/question/25215131

#SPJ1

5 0
2 years ago
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