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zzz [600]
3 years ago
14

2(m-3)+7<21 PLEASE HELP!!!

Mathematics
1 answer:
Contact [7]3 years ago
4 0

Simplify. Distribute 2 to all terms within the parenthesis

2(m -3) = 2m - 6

Simplify. Combine like terms

2m - 6 + 7 < 21

2m + 1 < 21

Isolate the m. Subtract 1 from both sides

2m + 1 (-1) < 21 (-1)

2m < 20

Isolate the m. Divide 2 from both sides

2m/2 < 20/2

m < 20/2

m < 10

m < 10 is your answer

hope this helps

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If DF = 35 and EF = 12, what is DE?<br><br> ANSWER QUICK
Sholpan [36]

Straight lines can be divided into different segments

The value of DE is 23 units

We have:

DF = 35

EF = 12

Segment DF and EF have the same endpoint.

This means that, point E is located on segment DF

So, we have:

DF = DE + EF

Substitute known values

35 = DE + 12

Collect like terms

DE = 35- 12

DE =23

Hence, the value of DE is 23 units

Read more about line segments at:

brainly.com/question/15754081

8 0
2 years ago
Use the Law of Cosines to find the missing angle. In triangle JKL, j=3in., k=4in., and l=2.89., find mJ
slega [8]
Using the law of cosine for Triangle KJL, we can write:

j^{2} = k^{2} + l^{2}-2(k)(l)cos(J)  \\  \\ &#10;2(k)(l)cos(J)=k^{2} + l^{2}- j^{2} \\  \\ &#10;cos(J)= \frac{k^{2} + l^{2}- j^{2}}{2(k)(l)}

Using the values of k,j and l, we can write:

cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)}  \\  \\ &#10;cos(J)= 0.664 \\  \\ &#10;J= cos^{-1}(0.664) \\  \\ &#10;J=48.39

Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer
8 0
3 years ago
Read 2 more answers
Check all the factors of 2. * 0 1 2 3
Dovator [93]
1 and 2 are the only factors of 2
5 0
2 years ago
The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
Korolek [52]

204 /6 = 34

29 +31 +33 + 35 +37 +39 = 207

4th number = 35

6 0
3 years ago
Read 2 more answers
Hello someone please help me
Naya [18.7K]

Answer:

(2, -8)

Step-by-step explanation:

6 0
3 years ago
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