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forsale [732]
3 years ago
15

Find the values of x and y.

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

x=30° y=5

Step-by-step explanation:

All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.

so

8y=40

y=40/8

y=5

Since it's an equilateral triangle. All angles are equal And each angle has dimensions

=180°/3=60°

The angle of the straight line = 180°

so The obtuse angle of the lower isosceles triangle is 180°-60°=120°

The angles at the base of the isosceles triangle are equal

so 2x° = 180°-120°

2x°=60°

x°=60°/2

x°=30°

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1 year ago
Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
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Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

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3 years ago
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\dfrac{-t}{4}=-3\pi\\t=12\pi

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