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Crank
3 years ago
7

Given that m<6=72 and m<14=72 determine which lines are parallel

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

Lines m and n are parallel.

Step-by-step explanation:

< 6 and < 14 are both equal to 72 degrees and they are corresponding angles for lines m and n.

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Help please, will give thanks uwu
BabaBlast [244]

(3x) + (x+60) = 180

4x + 60 = 180

Subtract 60 from both sides

4x = 120

Divide 4 from both sides

x = 30

7 0
4 years ago
Read 2 more answers
Solve the inequality for b.<br><br>4b - 12 -5b &lt; 9b + 8​
ValentinkaMS [17]

Answer:

9b-12<9b+8

Step-by-step explanation:

b<20

8 0
3 years ago
On a class trip to the museum,5/8 of the students saw the dinosaurs and 7/8 of the students saw either the jewelry collection or
inessss [21]

\frac{2}{8} of students only saw jewelry collection

<em><u>Solution:</u></em>

Given that, On a class trip to the museum,5/8 of the students saw the dinosaurs

7/8 of the students saw either the jewelry collection or the dinosaurs

<em><u>To find: Fraction of students only saw jewelry collection</u></em>

From given statement,

Fraction of students saw dinosaur = \frac{5}{8}

Fraction of students saw either the jewelry collection or the dinosaurs = \frac{7}{8}

Therefore,

Fraction of students only saw jewelry collection = Fraction of students saw either the jewelry collection or the dinosaurs - Fraction of students saw dinosaur

\rightarrow \frac{7}{8} - \frac{5}{8} = \frac{7-5}{8} = \frac{2}{8}

Thus \frac{2}{8} of students only saw jewelry collection

8 0
3 years ago
Which numbers are necessary to solve this problem?
SSSSS [86.1K]

Answer:

A

Step-by-step explanation:

A: 3 times a week, 45 minutes, 15 minutes, 4 weeks

In the beginning of the word problem it says Brian goes to the gym 3 times a week. We need to know that because you have to use that number later for multiplication.

The 45 minutes are important because he spends 45 minutes at the gym each visit.

The 15 minutes are important because you have to subtract that from 45 because 15 of the 45 minutes are spent on weights, the rest of the time is spent on the treadmill, and we need to know how long Brian is on the treadmill in 4 weeks.

So the equation should be: [(45-15)* 3]*4

Solution step-by-step:

45-15= 30 minutes for treadmill

30*3=90 minutes per week

90*4= 360 minutes in 4 weeks

Convert into hours:

360 minutes/60 minutes= 6 hours

Hope this helps!!! :D

3 0
4 years ago
PLEASE HELP 30 POINTS!!!!!!!!!!!!!!!!!!!!!!!
Anettt [7]

Since you know the value of "x", you can plug in the value for "x" in the equation.

[When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.]

For example:

x^{-2}  or  \frac{x^{-2}}{1} =\frac{1}{x^2}

\frac{1}{y^{-3}} =\frac{y^3}{1}  or  y³


x = -2

f(x) = 9x + 7

f(-2) = 9(-2) + 7 = -18 + 7 = -11


g(x)=5^x

g(-2)=5^{-2}=\frac{1}{5^2}=\frac{1}{25}   (idk if you should have it as a decimal or a fraction)



x = -1

f(x) = 9x + 7

f(-1) = 9(-1) + 7 = -9 + 7 = -2


g(x)=5^x

g(-1)=5^{-1}=\frac{1}{5}



x = 0

f(x) = 9x + 7

f(0) = 9(0) + 7 = 7


g(x)=5^x

g(0)=5^0=1



x = 1

f(x) = 9x + 7

f(1) = 9(1) + 7 = 9 + 7 = 16


g(x)=5^x

g(1)=5^1=5



x = 2

f(x) = 9x + 7

f(2) = 9(2) + 7 = 18 + 7 = 25


g(x)=5^x

g(2)=5^2=25



You need to determine the solution of f(x) = g(x)

Since you know f(x) = 9x + 7 and g(x)=5^x, you can plug in (9x + 7) for f(x), and (5^x) into g(x)


f(x) = g(x)

9x+7=5^x   You can plug in each value of x into the equation


Your answer is x = 2 because when you plug in 2 for x in the equation, you get 25 = 25

5 0
3 years ago
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