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Mars2501 [29]
3 years ago
15

What is the value of x and how do you know

Mathematics
2 answers:
Oduvanchick [21]3 years ago
6 0

Step-by-step explanation:

180 - 110 = 60 - 2 = 30 \\ so \: x = 30

Nookie1986 [14]3 years ago
5 0

Answer:

x=35°

Step-by-step explanation:

So first, recall that the interior angles of a triangle must total 180°.

The sum of the angles for the given triangle can be described by:

110+x+x\\=2x+110

Since the total must equal 180°, set the expression equal to 180°.

2x+110=180

To find the value of x, we just need to solve for x.

To start, subtract 110 from both sides. The 110s on the left cancels:

(2x+110)-110=(180)-110\\2x=70

Now, divide both sides by 2. The 2s on the left cancel.

\frac{(2x)}{2}=\frac{(70)}{2}\\ x=35 \textdegree

Therefore, the value of x is 35°.

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What is the approximate value of the square root of 8 rounded to the nearest tenth?
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Answer:

Step-by-step explanation:

The square root of 8 to the nearest 100th is 2.83

The 3 is less than 5 so it does not alter the 8 at all.

The answer is 2.8

4 0
3 years ago
Choose the item that does NOT have a measurable volume.
Tanzania [10]

Answer:

two dimensional triangle

Step-by-step explanation:

im not smart but im pretty sure its that

4 0
2 years ago
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How many apples are left in the tree if you started with 18 and ended with 11
ruslelena [56]

Answer:

Wouldn't it be 11? If the tree starts with 18 apples, and ends with 11, then that's it, it ends with 11 apples.

unless you just mis-typed, and meant 18-11. 7 would be the answer.

Step-by-step explanation:

7 0
3 years ago
The given line segment has a midpoint at (3, 1).
Katena32 [7]

Answer:

y=\frac{1}{3}x

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through (x_1,y_1)\ and\ (x_2,y_2) is:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.

Therefore the line passing through (2, 4) and (4, -2) has an equation:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

m_1m_2=-1.

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is y=\frac{1}{3}x

7 0
3 years ago
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(F-g)(-2) is the answer
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