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Radda [10]
3 years ago
7

Multiple choice please answer help

Mathematics
1 answer:
krok68 [10]3 years ago
6 0

From the congruent alternate interior angles resulting from the parallel lines, we have the equation 8x-34=5x+2. Solving, we have x=12^\circ and \angle D E F =5x+2=\boxed{62^\circ}.

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Pls help. First answer marked as brainliest
Misha Larkins [42]
-2; 3-5= -2 or -5 - (-3)

-1; 4-5 or -5 - (-4) = -1

-5; -6 - (-1)= 1-6= -5

5 0
2 years ago
What is the midpoint of the line segment with the endpoints J(-9,-4) and K(7,8)?
12345 [234]

Answer:

Step-by-step explanation:

22

7 0
3 years ago
The ratio of the number of dogs the number of cats is 4:5. There are 270 animals on the rescue Farm. The number of dogs is 4/5.
mafiozo [28]

Answer:

<em>Here is the complete question:</em>

The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. for each of the following statements, explain whether statements is true or false and why:

a. The number of dogs is 4/5 the number of cats.

b. 4/5 of the pets at the farm are dogs.

c. There are exactly 30 more cats than dogs.

d. There are exactly 30 dogs at the farm.

e. 5/9 of the pets at the farm are cats.

a,c and e are true statements.

Step-by-step explanation:

Let the number of dogs be "d' and number of cats be "c".

According to the question:

⇒ c+d=270   ...equation (i)

Arranging the ratio:

⇒ \frac{4}{5} = \frac{d}{c}

⇒ 4c=5d

⇒ c=(\frac{5}{4})d    ...equation (ii)

Plugging (ii) in equation (i).

⇒ c+d=270

⇒ \frac{5}{4} d+d=270

⇒ \frac{5d+4d}{4} =270

⇒ 9d=270\times 4

⇒ d=\frac{270\times 4}{9}

⇒ d=120

Number of dogs "d" = 120

Number of cats "c" = (270-120) = 150

Lets check each statement:

a.

The number of dogs is 4/5 the number of cats.

⇒ \frac{4}{5} \times 150

⇒ \frac{4\times 150}{5}

⇒ 120

Statement is true.

b.

4/5 of the pets at the farm are dogs.

⇒ \frac{4}{5} \times 270

⇒ 216

Number of dogs = 120

So the above statement is false.

c.

There are exactly 30 more cats than dogs.

⇒ c-d =30

⇒ 150-120=30

Statement is true.

d.

There are exactly 30 dogs at the farm.

False, as there are 120 dogs

e.

5/9 of the pets at the farm are cats.

⇒ \frac{5}{9} \times 270

⇒ 150

Statement is true.

So,

Statement  a,c and e are true as we could observe in the explanation.

8 0
2 years ago
Which transformations can be used to carry ABCD onto itself? Check all that apply<br>PLEASE HELP
eduard

Answer:

A and B

Step-by-step explanation:

Reflection and rotation

3 0
2 years ago
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What is the quotient of 13632 divide by 48
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<span>284
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