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Lelu [443]
3 years ago
12

Find the area of the shaded region

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Answer:

Area of the shaded region= 500inch^2

Step-by-step explanation:

Area of the shaded region= Area of the triangle- Area of the rectangle

Dimensions of the triangle:

Base= 40 inch

Height= 40 inch

Area of a triangle=\frac{1}{2}*Base*Height

           =\frac{1}{2}*40*40\\\\ =\frac{1}{2} *1600\\\\=800 inch^2

Area of the rectangle= Length*Width

Length=30 inch

Width=10 inch

Area:

          = 30*10\\\\=300 inch^2

Area of the shaded region=  800-300= 500 inch^2

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Somebody pls help me!!!
Setler [38]
<h3>Answer:  60 units</h3>

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

Explanation:

The similar red marks on the angles tell us those angles are congruent. So they are the same measure.

The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.

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

Solve for x

AC = BC

5x-8 = 2x+7 .... substitution

5x-8-2x = 7 ... subtract 2x from both sides

5x-2x = 7+8 ..... add 8 to both sides

3x = 15

x = 15/3 ... divide both sides by 3

x = 5

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

Use that x value to compute each side length

AB = 3x+11 = 3*5+11 = 15+11 = 26

BC = 2x+7 = 2*5+7 = 10+7 = 17

CA = 5x-8 = 5*5-8 = 25-8 = 17

Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.

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

The last step is to add up all the side lengths to get the perimeter

perimeter of triangle = sum of all the sides

perimeter of triangle = side1 + side2 + side3

perimeter of triangle ABC = AB + BC + CA

perimeter of triangle ABC = 26 + 17 + 17

perimeter of triangle ABC = 60 units

4 0
3 years ago
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What is the value of the expression below?<br> (3 x 4) - 6] + 4 x 2
Olegator [25]
14 is your answer :)
8 0
3 years ago
Can anyone solve this? will give brainliest if correct.
miv72 [106K]

Answer:

  • See below

Step-by-step explanation:

<u>The missing reasons are:</u>

  • 1. k. Given
  • 2. j. Definition of parallelogram
  • 3. d. Definition of linear pair
  • 4. b. Linear pair postulate
  • 5. e/m. Definition of supplementary
  • 6. g. Same side interior angles theorem
  • 7. e/m. Definition of supplementary
  • 8. a/c. Substitution property of congruence
  • 9. i. Subtraction property of congruence
  • 10. f. Alternate interior angles theorem
  • 11. l. Alternate exterior angles theorem
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8 0
2 years ago
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Reduce to simplest form<br><br><br>negative 7/8 minus (negative 5/6)
Verdich [7]

Answer:

(-21/24) - (-20/24) = -1/24

<em>Simplest Form of the Equation</em>

(-7/8) - (-5/6) = 0.04166666666

8x6= 48,

-7x6=-42

6x8= 48,

-5x8=40

(-42/48) - (-40/48)

Divide both sides by 2

(-21/24) - (-20/24) = -1/24

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soldi70 [24.7K]

Answer:

\displaystyle m\angle AED=32.5^\circ

Step-by-step explanation:

<u>Angles in a Circle</u>

An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.

Segments AE and DE are secants of the given circle. They form an exterior angle called AED.

The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.

Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:

\displaystyle m\angle AED=\frac{AD-BC}{2}

\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}

\displaystyle m\angle AED=32.5^\circ

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