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Volgvan
4 years ago
11

What does 30 ≤ x + 10 ≤ 80 simplify to

Mathematics
1 answer:
MakcuM [25]4 years ago
4 0

Answer:

20 ≤ x ≤  70

Step-by-step explanation:

Given that:

30 ≤ x + 10 ≤ 80

By solving the left half inequality first:

30 ≤ x + 10

Subtracting 10 from both sides:

30 - 10  ≤ x + 10 -10

20  ≤ x

Now solving inequality of right half:

x + 10 ≤ 80

Subtracting 10 from both sides:

x + 10 -10 ≤ 80 - 10

x ≤  70

So after simplification we get:

20 ≤ x ≤  70

I hope it will help you!

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9÷3,746 what's the answer? can u help?​
worty [1.4K]

Answer:

The answer is 0.00240256273

4 0
2 years ago
PLEASE GUYS HELP ITS DUE TONIGHT​
KATRIN_1 [288]

Answer:

20. AB = 42

21. BC = 28

22. AC = 70

23. BC = 20.4

24. FH = 48

25. DE = 10, EF = 10, DF = 20

Step-by-step explanation:

✍️Given:

AB = 2x + 7

BC = 28

AC = 4x,

20. Assuming B is between A and C, thus:

AB + BC = AC (Segment Addition Postulate)

2x + 7 + 28 = 4x (substitution)

Collect like terms

2x + 35 = 4x

35 = 4x - 2x

35 = 2x

Divide both side by 2

17.5 = x

AB = 2x + 7

Plug in the value of x

AB = 2(17.5) + 7 = 42

21. BC = 28 (given)

22. AC = 4x

Plug in the value of x

AC = 4(17.5) = 70

✍️Given:

AC = 35 and AB = 14.6.

Assuming B is between A and C, thus:

23. AB + BC = AC (Segment Addition Postulate)

14.6 + BC = 35 (Substitution)

Subtract 14.6 from each side

BC = 35 - 14.6

BC = 20.4

24. FH = 7x + 6

FG = 4x

GH = 24

FG + GH = FH (Segment Addition Postulate)

4x + 24 = 7x + 6 (substitution)

Collect like terms

4x - 7x = -24 + 6

-3x = - 18

Divide both sides by -3

x = 6

FH = 7x + 6

Plug in the value of x

FH = 7(6) + 6 = 48

25. DE = 5x, EF = 3x + 4

Given that E bisects DF, therefore,

DE = EF

5x = 3x + 4 (substitution)

Subtract 3x from each side

5x - 3x = 4

2x = 4

Divide both sides by 2

x = 2

DE = 5x

Plug in the value of x

DE = 5(2) = 10

EF = 3x + 4

Plug in the value of x

EF = 3(2) + 4 = 10

DF = DE + EF

DE = 10 + 10 (substitution)

DE = 20

4 0
3 years ago
What is the measure of an exterior angle of a rectangle of a regular 11-sided polygon?
horsena [70]

180 \div 11 =
4 0
4 years ago
Read 2 more answers
If you get payed $11.75 an hour, how many hours do you have to work to have $169,000
Leni [432]

Answer:

you would have to work 37.5 hours and dont do it in one sitting i would die it not worth it if you have to do it one sitting XD lol

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help right away!!!
Reptile [31]
Y=6 when x=18, find y when x=-12

so 6/18 = y/-12
cross multiplication
(6)(-12) = (18)(y)
-72 = 18y
divide both sides by 18
-4 = y

Hope this helps
XD

4 0
3 years ago
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