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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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A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the tim
diamong [38]

The function H(t) = -16t^2 + 64t exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists -16t^2 + 64t = 0

Factor t(-16t + 64) = 0

t = 0 and -16t + 64 =0

-16t + 64 = 0

t = 64 / 16 = 4

t = 4

Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

<h3>How to estimate the axis of symmetry?</h3>

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

H(t) = -16(2^2) + 64(2)

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

To learn more axis of symmetry refers to:

brainly.com/question/21191648

#SPJ4

8 0
2 years ago
What fraction of 34 it will take to make 23?
vova2212 [387]

Answer:

34 = 2 × 17

Step-by-step explanation:

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2 years ago
Find the equation of the line that is perpendicular to the line y= -1/3x-1 and psses through the point (1,5)?
Murljashka [212]

Answer:

The equation of this line would be y = 3x + 2

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -1/3, which means the new slope will also be 3 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 5 = 3(x - 1)

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3 years ago
Helpppp Tina conducted a survey to find the favorite weekend activity of the people in her state. She asked 10 of her neighbors
klio [65]

Answer:

She had an extremely small sample, so this most likely does not represent the entire state. Another thing to note is that she asked her neighbors, people in close proximity to her. Seeing as so many of her neighbors go boating on the weekend, we can assume that they are located close to a body of water. Again this would not accurately describe the entire state.

HOPE THIS HELPS AND MAKES SENSE!!!

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3 years ago
Find the length of the arc intercepted on the unit circle by the following central angle. 0=5π
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