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Flauer [41]
3 years ago
10

PLS HELP. Find the value of a, AB, BC, CD, AD in the parallelogram. Pls show work.

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

A= 21

Step-by-step explanation:

a=19.5+1.5=21

21+2.9=23.9

2(21)-18.1

Lines AB and CD are congruent.

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12. At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Wh
Romashka [77]

Answer:

150th customer

Step-by-step explanation:

To find this we would need the lcm lowest common factor of 30 and 75

LCM 30 = 2,5,3,1

LCM 75 = 3,5,5

H.C.F = 2,3,5,5

         = 150

the 150th custome would be getting both gift.

7 0
3 years ago
A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800
notsponge [240]

Answer:

C; $2,800

Step-by-step explanation:

Let the amount earned per truck sales be $t and the amount earned per car sales be $c

Selling 6 cars and 3 trucks earned a total of $4,800

This mathematically means;

6c + 3t = $4,800 •••••••••(i)

Selling 8 cars and 1 truck earned a total of $4,600

This mathematically means;

8c + t = $4,600 ••••••••(ii)

Now, we solve both equations simultaneously;

From equation ii, t = 4600 -8c

we plug this in equation i

6c + 3(4600-8c) = 4,800

6c + 13,800 - 24c = 4,800

18c = 9000

c = 9,000/18

c = 500

in second equation;

t = 4,600 - 8c

inputing the value of c, we have;

t = 4,600 -8(500)

t = 4,600 - 4,000

t = 600

Now we want to know how much commission earned on selling 2 cars and 3 trucks.

That will be 2c + 3t = 2(500) + 3(600) = 1000 + 1,800 = $2,800

8 0
3 years ago
Read 2 more answers
PERSON WHO GETS RIGHT ILL GIVE BRAINLIEST! Which values from the given replacement set make up the solution set of this inequali
algol [13]

Answer:

{5,6,7}

Step-by-step explanation:

3s>12

divide by 3 on both sides and you get

s>4

so {5,6,7} is the only one that works since it needs to be greater than 4

sorry if I replied too late, but I hope this helps

7 0
3 years ago
Suppose that MNO is isosceles with base NM. Suppose also that =m∠N+4x7° and =m∠M+2x29°. Find the degree measure of each angle in
chubhunter [2.5K]

Answer:

m∠N = 51°

m∠M = 31°

m∠O = 98°

Step-by-step explanation:

It is given that ΔMNO is an isosceles triangle with base NM.

m∠N = (4x + 7)° and m∠M = (2x + 29)°

By the property of an isosceles triangle,

Two legs of an isosceles triangle are equal in measure.

ON ≅ OM

And angles opposite to these equal sides measure the same.

m∠N = m∠M

(4x + 7) = (2x + 29)

4x - 2x = 29 - 7

2x = 22

x = 11

m∠N = (4x + 7)° = 51°

m∠M = (2x + 9)° = 31°

m∠O = 180° - (m∠N + m∠M)

         = 180° - (51° + 31°)

         = 180° - 82°

         = 98°

8 0
3 years ago
Factor p 2 + 18p + 32.
zhenek [66]

The correct factorization is (p + 16)(p + 2).

You can find this by looking for factors of the final number that add up to the middle number. Factors of the final number are listed below:

1 * 32

-1 * -32

2 * 16

-2 * -16

4 * 8

-4 * -8

Now you select the one that adds to 18, which would be the highlighted 2 and 16. Now we use these in parenthesis with a p + in the front of it.

(p + 2)(p + 16)

This will be the correct factored form.

8 0
4 years ago
Read 2 more answers
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