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Alona [7]
3 years ago
15

In Quadrilateral ABCD , AB || CD and m < 2 = 27°.What is m < 5

Mathematics
2 answers:
Serhud [2]3 years ago
4 0

Answer:

m < 5=27°

Step-by-step explanation:

we know that

When a transversal passes through two lines, the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In this problem

The transversal is the diagonal BD

The two lines are AB and CD

m < 5 and  m < 2 are alternate interior angles

we have that

The two lines are parallel

AB || CD

therefore

m < 5= m < 2

we have that

m < 2=27°

so

m < 5=27°

zepelin [54]3 years ago
3 0

Answer:

m < 5=27°

Step-by-step explanation:

we know that

When a transversal passes through two lines, the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In this problem

The transversal is the diagonal BD

The two lines are AB and CD

m < 5 and  m < 2 are alternate interior angles

we have that

The two lines are parallel

AB || CD

therefore

m < 5= m < 2

we have that

m < 2=27°

so

m < 5=27°

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A group of friends went out for dinner and decided to split the cost of the bill equally. If each person contributed $32, the fr
lianna [129]

Answer:

The number of friends that went out for dinner is 8

And their bill is $238

Step-by-step explanation:

Let's assume that the number of friends that went out for dinner to be x

And the bill for the dinner to be y

If each person contributed $32 and paid off the bill,they will have a balance of $18

32x - 18 = y_____equation 1

If each person contributed $35 and paid off the bill and also 15% tip,they will have a balance of $6.30

35x - 6.3 = y + (15% of y)

35x - 6.3 = y + (3y/20)

Open up the bracket

35x - 6.3 =(20y + 3y)/20

700x - 126 = 23y______equation 2

From equation 1,y = 32x - 18

Put the above in equation 2 and we have

700x - 126 = 23(32x -18)

700x - 126 = 736x - 414

collect like terms

36x = 288

x = 288/36

x = 8

Remember that equation 1 says that y = 32x - 18 and we now know that x = 8 .

Substitute and we have

(32 × 8) - 18

y = 238

The number of friends that went out for dinner is 8

And their bill is $238

3 0
3 years ago
A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much
Rufina [12.5K]

Answer:

It would cost $232.32, this answer is rounded.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

V=a^2\frac{h}{3}

So its just:

8.8^2\frac{12.5}{3} = 322.67 cm^3

Then you just multiply the volume by the cost per cubic centimetre:

322.67cm^3*$0.12=$38.704

After just multiply the cost of one by how many you want, which is 6:

38/704*6=232.32

4 0
4 years ago
You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below
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Answer:

D. 75

Step-by-step explanation:

8 0
3 years ago
Whoever gets this correct first gets brainlest !!
scoray [572]

Answer:

41.8

Step-by-step explanation:

The rectangles are similar by a factor of 10, so simply divide the measure by 10 to get the length of the smaller one.

7 0
3 years ago
Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch
Ivenika [448]

Answer:

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion

Step-by-step explanation:

Given that

Rachel traveled to 5 areas to find  number of Buckeye and Monarch butterflies.

Areas Rachel Traveled to = A, B, C, D, E

The table given below shows her findings.

Area            Buckeye          Monarch

A                     15              16  

B                      27              36  

C                     12              25  

D                      24              32  

E                      44              33

Now lets find the ratio of Buckeye and Monarch Butterflies in these areas

Area A

Buckeye : Monarch = 15:16 = 0.9375

Area B

Buckeye : Monarch = 27:36 = 0.75

Area C

Buckeye : Monarch = 12:25= 0.48

Area D

Buckeye : Monarch = 24:32 = 0.75

Area E

Buckeye : Monarch = 44:33 = 1.334

As we know that if two ratios give same answer after solving the fraction then these ratios are in proportion.

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion.


4 0
3 years ago
Read 2 more answers
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