Please help me with these 5 questions

In the figure below, points D, E, and F are the midpoints of the sides of LABC,

attashe74 [19]

Answers:

DE = 39
AB = 68
BE = 34

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Explanation:

BC = 78 is parallel to the midsegment DE.

This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39

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DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.

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BE = 34 for two reasons

Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent.
E is the midpoint of AB, so BE is half as long as AB

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We don't use the info that AC = 48.

4 0

3 years ago

Find the 20th term from the last term of the AP:3,8,13,..., 253.

RoseWind [281]

Answer:

158

Step-by-step explanation:

The sequence is 3, 8, 13, ..., 253.

Going backwards, it's 253, 248, 243, ..., 3.

First term is 253, common difference is -5.

The nth term is:

a = 253 − 5(n − 1)

The 20th term is:

a = 253 − 5(20 − 1)

a = 158

3 0

3 years ago

8 7/3 divided 7 1/2 6 1/2 divided 34/4 23/3 divided 6 2/5 Pls help ASAP

AlladinOne [14]

1) 1 17/45

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

31/3 ÷ 15/2

Applying the fractions formula for division,

= 31 × 2/3 × 15

= 62/45

Simplifying 62/45, the answer is

1 17/45

2) 13/17

First:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

13/2 ÷ 17/2

Applying the fractions formula for division,

= 13 × 2/2 × 17

= 26/34

Simplifying 26/34, the answer is

13/17

3) 1 19/96

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

23/3 ÷ 32/5

Applying the fractions formula for division,

= 23 × 5/ 3 × 32

=115/96

Simplifying 115/96, the answer is

1 19/96

8 0

3 years ago

You are selling lemonade. You find that if you set the price at $2.00 per cup, you sell 14 cups over the

stira [4]

Step-by-step explanation:

$2.00x-($.10x)=3+x

the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.

I dont know if this is correct but this is how I would make my equation

5 0

3 years ago

Read 2 more answers

Solve for x: −2(x + 3) = −2(x + 1) − 4. (1 point)

NeTakaya

Answer:

Hey there!

Let's solve our equation below.

-2(x+3)= -2(x+1)-4

Let's distribute the parentheses.

-2x-6=-2x-2-4

We combine like terms.

-2x-6=-2x-6

We add 6 to both sides.

-2x=-2x

We divide both sides by -2

x=x

If, when solving an equation, you get one number or variable that equals itself, there are infinitely many solutions.

We can plug anything into this equation and it will always equal to same things, since x is just equal to whatever x value you want.

Therefore, there are infinitely many solutions.

I hope this helps!

8 0

3 years ago