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Murljashka [212]
2 years ago
14

Given that ABCD is a parallelogram. Find the following

Mathematics
1 answer:
7nadin3 [17]2 years ago
3 0

Answer:

m=8

m<A=83

m<D=97

Step-by-step explanation:

Angles that are opposite of each other in a parallelogram are equal. Knowing this, we can first conclude that angle A and angle C are equal. We can set up the following equation:

9m+11=8m+19

Subtract both sides by 11

9m+11-11=8m+19-11\\9m=8m+8

Subtract both sides by 8m

9m-8m=8m+8-8m\\m=8

To calculate angle A, plug the value of m into its expression.

In a parallelogram, angles that share a side are supplementary, meaning they add up to 180 degrees. Therefore, angle A and angle D are supplementary. Knowing this, we can set up the following equation:

180=83+D

Subtract both sides by 83

180-83=83+D-83\\97=D

I hope this helps!

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A phone company offers two packages of service. Package A is $35.00 per month with an additional charge of $0.15 per minute for
ella [17]

Answer: 200 minutes have to be used for the costs of both plans to be the same.

Step-by-step explanation:

Let x represent the number of minutes that have to be used for the costs of both plans to be the same.

Package A is $35.00 per month with an additional charge of $0.15 per minute for long distance. This means that the cost of using package A for x minutes in a month would be

35 + 0.15x

Package B is $45.00 per month with an additional charge of $0.10 per minute for long distance. This means that the cost of using package A for x minutes in a month would be

45 + 0.1x

For both costs to be the same, it means that

35 + 0.15x = 45 + 0.1x

0.15x - 0.1x = 45 - 35

0.05x = 10

x = 10/0.05

x = 200

3 0
3 years ago
Find the total cost with tip.
SpyIntel [72]

Answer:

$147

Step-by-step explanation:

so to find 20% I usually divide the original cost by 100 to get 1% then multiply that number by 20.

in this case 122.50/100= 1.225, 1.225x20 = 24.5

24.5 + 122.50 = 147

5 0
2 years ago
Please please please answer asap
Svetlanka [38]

Answer:

I dont wanna be wrong But if it was me i would go with B...BUUUUUT C could also be right

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Does 10,15,20 form a right triangle
sveta [45]
A right triangle can only be formed when you use the 3/4/5 rule.
The 3/4/5 rule is a^2 + b^2 = c^2.

We will use 10 for a, 15 for b, and 20 for c.

a^2 + b^2 = c^2

Plug in 10 for a, 15 for b, and 20 for c.

10^2 + 15^2 = 20^2

10^2 = 100

15^2 = 225

20^2 = 400

100 + 225 = 400
This is not applicable, as 100 + 225 = 325.

Your answer is:

No, 10,15,20 does not form a right triangle.

I hope this helps!
5 0
3 years ago
A Country sales tax is 6 2/3% . what is the percent as A fraction in simplest form
Anna007 [38]
6+2/3%   <--- Given
(6+2/3)/100   <--- Definition of percent
(20/3)/100   <--- Putting the top into an improper fraction
20/300   <--- Dividing the fractions
1/15   <--- Simplifying the fraction

Hope this helps!
6 0
3 years ago
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