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aksik [14]
3 years ago
11

What is the value of x?

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

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The Halloways are taking a trip to Maine. Mr. Halloway knows that it is about 885 miles to their destination in Maine from their
natita [175]

Answer:

Number of hours= 13.61 hours

Step-by-step explanation:

Giving the following information:

Mr. Halloway knows that it is about 885 miles to their destination.

Average speed= 65 miles per hour

<u>To calculate the number of hours to be drive, we need to use the following formula:</u>

Number of hours= total miles / miles per hour

Number of hours= 885/65

Number of hours= 13.61 hours

7 0
3 years ago
In a bottle there are 370 liters of water. There are 46 small
DanielleElmas [232]

Answer:

The number of extra glasses required is 3954.

Step-by-step explanation:

Total volume of water in a bottle = 370 liters

Number of  glasses, N = 46

capacity of each glass = 90 ml = 0.09 liter

The volume of water required to fill 46 glasses is

= 0.09 x 46 = 4.14 liter

The amount of water left = 370 -  4.14 = 355.86 liter

The number of extra glasses required to fill is

n = 355.86/0.09 = 3954

So, the number of extra glasses required is 3954.  

5 0
3 years ago
What is the slope of the line passing through (-3, 5) and (5, -3)?​
harina [27]

Answer:

-1 is your answer.

Step-by-step explanation:

What you do is the slope formula.

-3 - 5/5 - (-3) =

-8/8 =

-1 is your answer.

6 0
3 years ago
Read 2 more answers
Please I need help with #9! Will reward the brainliest answer!!
jenyasd209 [6]
The expression that represents the number of days until only 10% remains is

T((d) 10%) = 100 • (1/2)^3.322
5 0
3 years ago
A university has 28,980 students. In a random sample of 180 students, 12 speak three or more languages. Predict the number of st
anygoal [31]
Word | know | Unknown
Language| 12 | x
Total | 180 | 28980
Use cross multiply:
12(28980) = 180(x)
347760 = 180x
347760/180=1932
5 0
3 years ago
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