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3 years ago

What is the value of x?

Mathematics

2 answers:

valkas [14]3 years ago

6 0

We are given the values of two angles along two parallel lines.

The relationship of these angles tells us that if we add these two angles, they should equal 180°. So then we can set that equation up:

$(2x+24)+x=180$

And then we solve for x:

$(2x+24)+x=180$

$3x+24=180$

$3x=156$

$x=52$

So now that we know the value of x is 52, we know that the angle whose value is x, is 52°.

To solve for the other angle, we must plug in 52 for x:

$2x+24$

$2(52)+24$

$104+24=128$

And now we know that the value of the other angle is 128°.

andrey2020 [161]3 years ago

3 0

Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°

Therefore, we can set up this equation:

(2x + 24) + x = 180 ⇒ Remove parentheses

2x + 24 + x = 180 ⇒ Combine like terms

3x + 24 = 180 ⇒ Subtract 24 from both sides

3x = 156 ⇒ Divide both sides by 3

x = 52°

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What is the inverse of the function f(x) = 2x - 10?

aliya0001 [1]

Answer:

$h(x) = \frac{1}{2} x+ 5$

Step-by-step explanation:

To find the inverse of a function, simply switch the 'x' and 'y' variables. Substitute in 'y' in the place of f(x) for this purpose:

y = 2x - 10

Switch positions:

x = 2y - 10

Add '10' to both sides to begin simplifying:

x + 10 = 2y

Divide both sides by 2:

$y= \frac{x+10}{2}$

This can be rewritten as:

$y = \frac{1}{2} x+ 5$

Therefore, the inverse of the function is:

$h(x) = \frac{1}{2} x+ 5$

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3 years ago

The distance, d in meters, that an accelerating object travels is given by

Nastasia [14]

Answer:

B.Between 2 and 3

Step-by-step explanation:

60÷40

=3/2

8 0

2 years ago

4 1/3 - 2 1/2 please help Explanation:

galben [10]

Answer:

1 $\frac{5}{6}$

Step-by-step explanation:

First convert this mix number into a improper number

13/3-5/2

Then find the LCM of the denominator

26/6-15/6

Now simplify

11/6

1 $\frac{5}{6}$

Hope you got it

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8 0

3 years ago

Read 2 more answers

Points (0,12) and (1,3) in linear function

puteri [66]

Answer:

y = -9x + 12

Step-by-step explanation:

first find the slope

m= 3 - 12

1 - 0

m = -9

y = mx + b

y = -9x + 12

(the 12 is the y intercept and is given in the question so there is no need to solve for it)

3 0

3 years ago

Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC

Vinvika [58]

According to the midsegment theorem, the midsegments are parallel to

and half the length of the opposite side.

The completed statement are as follows;

Because the slopes of $\overline{EF}$ and $\overline{AC}$ are both -4, $\overline{EF}$ ║ $\overline{AC}$

EF = $\underline{\sqrt{17}}$ and AC = $\underline{2 \cdot \sqrt{17} }$

Because $\underline{\sqrt{17} }$ = $\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }$ , $EF = \frac{1}{2} \cdot AC$

Reasons:

From the given graph of ΔABC, we have;

Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)

The coordinates of the point D and E on $\mathbf{\overline{DE}}$ are; D(-4, -2), and E(-2, 0)

The coordinates of the point F is; F(-1, -4)

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4$

$\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4$

$Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}$

Length of EF = √((-1 - (-2))² + (-4 - 0)²) = √(17)

Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)

Therefore, we have;

Because the slope of $\mathbf{\overline {EF}}$ and $\mathbf{\overline {AC}}$ are both , -4, $\overline {EF}$ ║ $\overline {AC}$ . EF = $\underline{\sqrt{17}}$ , and AC

= $\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}$ ,. Because $\underline{\sqrt{17}}$ = $\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}$ , $EF =\mathbf{ \frac{1}{2} AC}$

Learn more about midsegment theorem of a triangle here:

brainly.com/question/7423948

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3 years ago