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Lilit [14]
3 years ago
11

If b is the midpoint of AC, which of the following choices is the value of x?

Mathematics
1 answer:
katrin [286]3 years ago
8 0
If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:

8x + 4 = 10x - 6

Solving for x:

4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)

So, x = 5, which is the second option given.
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Brandon makes lemon water by adding of a cup of sliced lemon to 2 cups of water. At this rate, how many cups of sliced lemon wou
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B bc of the mass of the cup is 12
8 0
3 years ago
Find the measure of an angle between 0º and 360º coterminal with an angle of –110º in standard position
kondor19780726 [428]
<h2>Answer:</h2>

An angle measures how how much you have to rotate one line called <em>initial side</em> so it lies on the top of other line called the <em>terminal side. </em>Angles whose vertex is located at the origin having the initial side on the positive x-axis is said to be in standard position. On the other hand, coterminal angles are angles in standard position having the same terminal side. In this way, for the angle:

-110^{\circ} \\ \\ Its \ coterminal \ is: \\ \\ \alpha=360^{\circ}-110^{\circ}=\boxed{250^{\circ}}

3 0
3 years ago
Kevin’s recipe uses a ratio of 4 parts flour to 2 parts sugar. Anna’s recipe uses 5 parts flour to 3 parts sugar. Could their re
Reptile [31]

Answer:

yes they can

Step-by-step explanation:

pls give brainliest im almost lvled up.

3 0
3 years ago
Use slope to determine if the following lines are parallel, perpendicular, or neither.
Gwar [14]

Answer:

The lines are parallel, with the same slope of 5.

Step-by-step explanation:

Remember that if slopes are the same, then the lines are parallel. If the slopes are opposite reciprocals, they are perpendicular. If they are neither of those cases, then they would be neither.

1) Since y = 5x + 1 is already in slope-intercept format (y = mx + b, in which m represents the slope) we know that 5 is the slope of that equation.

2) To find the slope of -5x + y = 6, let's just convert it to the slope-intercept format by isolating y on the left side like so:

-5x + y = 6 \\y = 5x + 6

(All you need to do is move -5x to the right side of the equation.) So, by looking at y = 5x + 6, we can do the same thing we did from step 1 and find that the slope is 5.

3) Since both of the equations' slopes are 5, they share the same slope - therefore, they are parallel.

Hope this helps! Please do not hesitate to ask any questions.

5 0
3 years ago
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
sp2606 [1]

mechanic #1's rate = x

mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)

20x = money earned by mech#1

and mechanic #2 worked for 5 hours

5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means

x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150

1900 - 15y = 1150

-15y = 1150 - 1900

-15y = -750

y = -750/-15

y = 50 $/hr

Now use this to solve for x

x + y = 95

x + 50 = 95

x = 95 - 50

x = 45 $/hr

mech#1 charged 45$/hr

mech #2 charged 50$/hr

4 0
3 years ago
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