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Alla [95]
3 years ago
6

Lines AB and CD are parallel. If ∠3 measures (3x + 20)°, and ∠4 measures 70°, which equation could be used to solve for x

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

(3x+20) = 70

Step-by-step explanation:

All vertical or corresponding angles are congruent, aka they equal eachother.

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Finally, your smallest median is your first 25% and so on.

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Express sin A, cos A, and tan A as ratios ​
vlabodo [156]
<h3>Answer: Choice B</h3><h3>sqrt(3)/2,    1/2,   sqrt(3)</h3>

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

Explanation:

Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12

Sin(angle) = opposite/hypotenuse

sin(A) = BC/AB

sin(A) = 6sqrt(3)/12

sin(A) = sqrt(3)/2

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Cosine is the ratio of the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

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Tangent is the ratio of the opposite and adjacent

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5 0
3 years ago
: A theater sells tickets for a concert. Adult tickets sell for $6.50 each, and children's tickets sell for $3.50 each. The thea
BARSIC [14]

Answer: 321 adult tickets and 227 children tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of children tickets that were sold.

The total number of tickets that the theatre sold is 548. This means that

x + y = 548

Adult tickets sell for $6.50 each, and children's tickets sell for $3.50 each. The total ticket sales was $2881. This means that

6.5x + 3.5y = 2881 - - - - - - - - - - -1

Substituting x = 548 - y into equation 1, it becomes

6.5(548 - y) + 3.5y = 2881

3562 - 6.5y + 3.5y = 2881

- 6.5y + 3.5y = 2881 - 3562

- 3y = - 681

y = - 681/ -3

y = 227

x = 548 - y = 548 - 227

x = 321

5 0
3 years ago
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