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kozerog [31]
3 years ago
8

Which statements about the relationship between the two angles below are true? Check all that apply ZC=LT

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

The last one, angle D equals to angle T

Step-by-step explanation:

Using the theorem of the triangle we know that the total number measure of the angles is 180 degrees. Therefore, solving the second triangle will give us that the angle T is equal to 60.

This is equal to angle D.

Hope this helps.

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A figure was created using a triangle and a semicircle. Use the ruler provided to measure the dimensions of the triangle and the
harina [27]
D 52 cm2 the correct answer
4 0
3 years ago
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Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the e
alisha [4.7K]
The point-slope form of the equation of the line is:

(y - y1) = m (x - x1)

So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:

 [y - (-2) ] = (-1/3) [ x - 4 ]

You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.

That slope, -1 / 3, means that the function is decresing (because the slope is negative),  and it decreases one unit when x increases 3 units.

Now you can fill in the blanks in this way:

Plot the point  (4, -2), move 1 unit down, and 3 units over to find the next point on the line.
7 0
3 years ago
X+(3x+2)+(1)/(2)x=29
Vladimir79 [104]

Answer:

\boxed{x=6}

Step-by-step explanation:

x+3x+2+0.5x=29

\sf Combine \ like \ terms.

4.5x+2=29

\sf Subtract \ 2 \ from \ both \ sides.

4.5x+2-2=29-2

4.5x=27

\sf Divide \ both \ sides \ by \ 4.5.

\displaystyle \frac{4.5x}{4.5} =\frac{27}{4.5}

x=6

5 0
3 years ago
An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A.
vova2212 [387]

Answer:

10 ounces of milk and 50 ounces of orange juice

Step-by-step explanation:

Let the amount of milk be x ounces and the amount of orange juice be y ounces.

1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.

2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.

<u>Calcium:</u>

20x milligrams in milk

40y milligrams in orange juice

2,200 milligrams in total

Hence,

20x+40y=2,200

<u>Vitamin A:</u>

60x micrograms in milk

10y micrograms in orange juice

1,100 micrograms in total

Hence,

60x+10y=1,100

Solve the system of two equations:

\left\{\begin{array}{l}20x+40y=2,200\\ \\60x+10y=1,100\end{array}\right.

Divide each equation by 10:

\left\{\begin{array}{l}2x+4y=220\\ \\6x+y=110\end{array}\right.

From the second equation:

y=110-6x

Substitute it into the first equation:

2x+4(110-6x)=220\\ \\2x+440-24x=220\\ \\2x-24x=220-440\\ \\-22x=-220\\ \\22x=220\\ \\x=10\\ \\y=110-6\cdot 10=110-60=50

6 0
3 years ago
Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).
kodGreya [7K]

Answer:

A

Step-by-step explanation:

Perpendicular to x = -5 is going to be a horizontal line.

Since it passes through (1,3.14),

Equation is y = 3.14

4 0
3 years ago
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