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jok3333 [9.3K]
2 years ago
12

Answer

Mathematics
1 answer:
timurjin [86]2 years ago
5 0

Answer:

Betty = $600

Step-by-step explanation:

3/4 of Alice's salary is the same as 1/2 of Betty's salary

(3/4)a = (1/2)b

multiply both sides by 2

(3/2)a = b

Alice earns $200 less than Betty

b - a = 200

Substitute for b

(3/2)a - a = 200

(1/2)a = 200

multiply both sides by 2

a = 400

b = (3/2)400

b = 600

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Thepotemich [5.8K]

Answer:

would it be 130?

Step-by-step explanation:

because 40+90=130 then 180-130=50 so 1=50 and that means 3 is 50 too. so then you would subtract 50 from 190 which is 130.

3 0
3 years ago
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Since ABCD is a parallelogram, the two pairs of _________ sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since
Marysya12 [62]

Answer:

1. Opposite

2. angle-side-angle criterion

Step-by-step explanation:

Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.

A parallelogram posses the following features:

   1. The opposite sides are parallel.

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   3. It has supplementary consecutive angles.

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3 years ago
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schepotkina [342]

Answer:

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Step-by-step explanation:

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7 0
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<u>Given</u>:

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To determine the restricted values from the domain, let us set the denominator the function not equal to zero.

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Answer:

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