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suter [353]
3 years ago
9

In the diagram shown, chords AB and CD intersect at E. The measure of (AC) ̂ is 120°, the measure of (DB) ̂ is (2x)° and the mea

sure of ∠AEC is (4x)°. What is the degree measure of ∠ AED?

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

The measure of angle < AED is 100\°

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

so

m

substitute the values and solve for x

4x=\frac{1}{2}(120\°+2x)

8x=(120\°+2x)

8x-2x=120\°

6x=120\°

x=20\°

m

m -----> by supplementary angles

substitute value

80\°+m

m

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3 years ago
1A. Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a tota
Fantom [35]

Answer:

1. 2x + 3y = 240 AND x + y = 100

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Step-by-step explanation:

Let

Number of cups of lemonade sold = x

Number of cups of orange juice sold = y

The system of equation could be represented by:

2x + 3y = 240 (1)

x + y = 100 (2)

from (2)

x = 100 - y

Substitute into (1)

2x + 3y = 240 (1)

2(100 - y) + 3y = 240

200 - 2y + 3y = 240

- 2y + 3y = 240 - 200

y = 40 cups

Substitute y = 40 into (2)

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x + 40 = 100

x = 100 - 40

x = 60 cups

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

(x, y) = (60, 40)

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3 years ago
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Answer:

Step-by-step explanation:

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