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ser-zykov [4K]
2 years ago
11

Please help and explain

Mathematics
1 answer:
Semmy [17]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

These two angles are related by the supplement of corresponding angles. So they add to 180.

Equation

<1 + <2 = 180

2x + 4 + 8x - 14 = 180

Givens

<1 = 2x + 4

<2 = 8x - 14

Solution

<1 + <2 = 180                Substitute the givens into this equation

2x + 4 + 8x - 14 = 180  Combine like terms

2x + 8x + 4 - 14 = 180  

10x - 10 = 180               Add 10 to both sides

10x-10+10 = 180+10     Combine

10x = 190                      Divide by 10

10x/10 = 190/10

x = 19

Answer: x = 19

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An event manager recorded the number of people in different age groups who attended a music concert: A histogram titled Concert
OverLord2011 [107]

Answer:

Age Group Number of People 18–24 80 25–31 120 32–38 40 39–45 20

Step-by-step explanation:

The data in each bar is how many people in that group.

So 18-24 has 80 people

25-31 has 120 people

32 -38 has 40 people

39-45 has 20 people

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4 years ago
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5 0
3 years ago
What is the equation of the line that is perpendicular to the line x=3 and which passes through the point (3,4)
Vinil7 [7]

Answer:

y=4

Step-by-step explanation:

the line x=3 is a vertical line, so a line perpendicular to it would be a horizontal line.

using the given point, we can see that the point has a y value of 4

that means that our equation should be y=4

4 0
3 years ago
Help please will mark best answer
77julia77 [94]
I figured out the first question, the second one in lost on.

\frac{(6-x)}{x^2+3x-28} / \frac{x^2-36}{x^2+5x-36}

Factor both of the equations, numerator and denominator

\frac{(6-x)}{(x+7)(x-4)}*  \frac{(x+6)(x-6)}{(x+9)(x-4)}

Cancel the like factors *excuse the zero im just showing you*

\frac{(0)}{(x+7)} *\frac{(x+6)}{(x-9)}

Combine frunctions

\frac{(6+x)}{(x-9)(x+7)}

x-9=0
x+7=0

Restrictions are 9 and -7
4 0
4 years ago
Given 6, 8, and 11 as the three sides of a triangle, classify it as one of the following acute, right or obtuse. Please help and
sp2606 [1]

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.

The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.

The triangle is obtuse.

__

Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).

In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:

  hypotenuse = √(6² +8²) = √100 = 10

Your long side is longer, so your largest angle is larger than 90°.

Law of Cosines:

  angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°

5 0
3 years ago
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