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enot [183]
3 years ago
14

For what value of x is line m parallel to line n? This is quite urgent.

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Answer:

20

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures 65^{\circ} and (3x+5)^{\circ} are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20

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d1i1m1o1n [39]

Answer: the efficiency of the first car is 25 miles per gallon.

the efficiency of the second car is 30 miles per gallon.

Step-by-step explanation:

Let x represent the efficiency of the first car.

Let y represent the efficiency of the second car.

Distance = car efficiency × number of gallons.

The first car consume 25 gallons of gas and the second consumed 15 gallons of gas. The two cars Drove a combined total of 1075 miles. It means that

25x + 15y = 1075- - - - - - - - - - -1

The sum of the fuel efficiencies was 55 miles per gallon. It means that

x + y = 55

Substituting x = 55 - y into equation 1, it becomes

25(55 - y) + 15y = 1075

1375 - 25y + 15y = 1075

- 25y + 15y = 1075 - 1375

- 10y = - 300

y = - 300/-10

y = 30

x = 55 - y = 55 - 30

x = 25

4 0
4 years ago
1 Solve for the unknown variable:
Burka [1]

Answer:

Approximately 6.4

Step-by-step explanation:

We can use the pythagorean thereom here, that tells us (a^2)+(b^2)=c^2. C is the hypotenuse, the side opposite from the right angle, while a and b are the other sides. We can insert 5 and 4 as a and b, and solve for c

:(5^2)+(4^2)=c^2

:25+16=c^2

:41=c^2

:sqrt(41)=6.4=c              (We square rooted both sides. 6.4 is only rounded to the nearest hundredths place.) Hope this helps!

8 0
2 years ago
Read 2 more answers
HELPP!!!! 100 points. Which expression is equivalent
devlian [24]

Answer:

\Large \boxed{\sf A}

Step-by-step explanation:

\displaystyle 2x\sqrt{44x}-2\sqrt{11x^3}

Let<em> x</em>  = 2 because x > 0

\displaystyle 2(2)\sqrt{44(2)}-2\sqrt{11(2)^3}=4\sqrt{22}

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2(2)\sqrt{11(2)}=4\sqrt{22}

The expression is option A

8 0
3 years ago
Read 2 more answers
Carly and janiya put some money into their money boxes every week. the amounts of money (y), in dollars, in their money boxes af
Lelu [443]
Carly : y = 60x + 40
janiya : y = 50x + 80

60x + 40 = 50x + 80
60x - 50x = 80 - 40
10x = 40
x = 40/10
x = 4 <=== so at 4 weeks, they will have the same amount of money <==
The money they have is : y = 60(4) + 40.....y = $ 280 <=

so ur answer is : 4 weeks, $ 280
8 0
3 years ago
What is the value of the function y=3x−1 when x=−1 ?<br><br> −8<br> −4<br> 2<br> 6
Paraphin [41]
Substitute x for -1 in <span> y=3x-1
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y = -3 - 1
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 B.) -4 is your answer
3 0
4 years ago
Read 2 more answers
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