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3 years ago

Two interior angles in a triangle measure 101 degrees and 34 degrees. What is the measure of the third angle?

1 answer:

Colt1911 [192]3 years ago

5 0

All the angles in a triangle equal 180 degrees.

So,

101+34+x=180

x= the missing angle.

135+x=180

Subtract both sides by 135.

x= 45

The missing angle equals 45 degrees.

I hope this helps!
~kaikers

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2 years ago

10]The graph of a function is a line that passes through the coordinates (2, 11) and (8. 14).Which is an equation in terms of x

aksik [14]

We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.

1. We must use the next formula to find the slope

$m=\frac{y_2-y_1}{x_2-x_1}$

Where (x1, y1) and (x2, y2) are the points.

Now, replacing the points in the formula for the slope

$m=\frac{14-11}{8-2}=\frac{3}{6}=\frac{1}{2}$

2. We must replace the slope and one of the points in the next formula

$y-y_1=m(x-x_1)$

Now, replacing the slope and the point (2, 11)

$\begin{gathered} y-11=\frac{1}{2}(x-2) \\ \end{gathered}$

3. We must delete the parenthesis and solve the equation for y

$\begin{gathered} y-11=\frac{1}{2}x-\frac{1}{2}\cdot2 \\ y-11=\frac{1}{2}x-1 \\ y=\frac{1}{2}x-1+11 \\ y=\frac{1}{2}x+10 \end{gathered}$

ANSWER:

$y=\frac{1}{2}x+10$

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1 year ago

At what points will Al be producing the most equal amounts of sandwiches and salads?

Neporo4naja [7]

Answer: D, Y, X

<u>Step-by-step explanation:</u>

The (salad, sandwich) coordinates are as follows:

A: (0, 10)

B: (1, 8)

C: (2, 6)

D: (3, 4) MOST EQUAL AMOUNTS

E: (4, 2)

F: (5, 0)

X: (4, 8) OUTSIDE OF THE PRODUCTION LINE

Y: (1, 3) UNDER THE PRODUCTION LINE

8 0

3 years ago

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One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po

lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

$f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y$

When x = 8, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0$

When x = 7, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}$

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

$tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}$

Where;

h = The height at which the laser meets the wall

$h = \dfrac{9 \times 7}{8} =7.875$

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

$y = \dfrac{9 \times 7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet$

The height (in feet) at which the laser will impact the wall = 6.75 feet.

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3 years ago

7) Order the numbers from least to greatest.<br> A. 6.66<br> B. 6.07<br> C. 7<br> D. 6.32

jek_recluse [69]

the Answear is B,D,A,C

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3 years ago

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