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ELEN [110]
3 years ago
12

The trapezoid ABCD has angle C=70 degrees and D=50 degrees. Find the size of angle A and angle B

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Angle A = 130° and Angle B = 110°

Solution:

Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°

If ABCD is a trapezoid, then AB is parallel to CD.

AD is a transversal to AB and CD and

BC is a tranversal to AB ad CD.

Sum of the interior angles on the same side are supplementary.

∠A + ∠D = 180°

⇒ ∠A + 50° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠A = 180° – 50°

⇒ ∠A = 130°

Similary, ∠B + ∠C = 180°

⇒ ∠B + 70° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠B = 180° – 70°

⇒ ∠B = 110°

Hence, angle A = 130° and angle B = 110°.

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The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar
Alex_Xolod [135]

Answer

Find out the original side length of the square .

To prove

Let us assume that the original length of the square be x.

Formula

Area\ of\ rectangle = Length\times Breadth

As given

The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.

Length becomes  = x + 8

Breadth becomes = x -3

The area of the resulting rectangle is 126 in²

Put in the formula

(x + 8) × (x - 3) = 126

x² -3x + 8x -24 = 126

x ²+ 5x = 126 +24

x² + 5x - 150 = 0

x² + 15x - 10x - 150 = 0

x (x + 15) -10 (x +15) =0

(x + 15)(x -10) =0

Thus

x = -15 , 10

As x = -15 (Neglected this value because the side of the square cannot be negative.)

Therefore x = 10 inches be the original side of the square.






3 0
3 years ago
I need help with this question please I’ll mark as brainliest
Dmitriy789 [7]

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (8, - 14), thus

y = a(x - 8)² - 14

To find a substitute (5, 13) into the equation

13 = a(5 - 8)² - 14

13 = a(- 3)² - 14

13 = 9a - 14 ( add 14 to both sides )

27 = 9a ( divide both sides by 9 )

a = 3

Thus

y = 3(x - 8)² - 14 → C

7 0
3 years ago
Please help me!
Sindrei [870]
Well, let's check if your inequality is true. We have to add the 3 scores up and divide them by 3 to know the average.

73 + 81 + 86 = 240
240 / 3 = 80

80%

That's true, now let's check 101.

73 + 81 + 101 = 255
255 / 3 = 85

85%

That's true.

Your inequality is correct.
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3 years ago
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UNO [17]

Answer:

D

Step-by-step explanation

6 0
3 years ago
Triangle F, G, H is similar to triangle A, B, C. Solve for x.
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2 years ago
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