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bija089 [108]
3 years ago
12

If line BA is a midsegment of triangle XYZ, find x.

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0
For midsegment theorem
And parallels lune are twice

So AB = YZ /2

AB = 10/2 =5

BUT AB = X–1 =5

X–1 = 5 = X = 1+5 =6

X =;6


..

MARK AS Brainliest
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Pump 1 can empty a pool in 8 hours while Pump 2 can empty the same pool in 9 hours. If the two pumps worked together, how long w
yan [13]
<span>Rate of pump A: 1/8 of a pool per hour 
Rate of pump B: 1/9 of a pool per hour 
Combined rate: 1/8+1/9 = 17/72 +1/9 = 25/72 

So if they work together, the two pumps have a combined rate of 25/72 of a pool per hour (i.e in one hour, the two pumps will empty 25/72 of the pool) 

</span><span>But we want to empty ONE pool (not 25/72 of one). So we need to multiply 25/72 by some number x to get 1.
 </span>
<span>Now solve for x 
x=2.88
</span><span>It will take the two pumps 2.88 hours to empty the pool.
2 hours 52 minutes 50 seconds</span>
7 0
2 years ago
A jacket originally cost $30.75. It went on sale for 20% off the original price. What was the sale price of the jacket?
gladu [14]
We have to calculate the 20% of $30.75
The 20% of $30.75=(20/100)*$30.75=(20*$30.75)/100=$6.15

The sale price of the jacket was $6.15.
6 0
3 years ago
Solve each inequality. Then compare the solutions.<br><br> 3x +4&gt; 16<br> - 2x + 19&lt; 11
Makovka662 [10]

Answer:

3x + 4 > 16 \\ 3x > 16 - 4 \\  \frac{3x}{3}  >  \frac{12}{3}  \\ x > 4 \\  \\  - 2x + 19 < 11 \\  - 2x < 11 - 19 \\  - 2x <  - 8 \\  \frac{ - 2x}{ - 2}  >   \frac{ - 8}{   - 2}  \\ x > 4 \\  \\ comparing \\ 4 < x > 4

7 0
3 years ago
What is the solution to the system of linear equations graphed below?
OlgaM077 [116]

Option C: There are no solutions

Explanation:

The linear equations is graphed.

We need to determine the solution of the system of equations.

The solution of the equations can be determined by finding the point of intersection of the two equations.

From the figure, it is obvious that the two equations are parallel to each other.

Also, the parallel lines have the same slope and the parallel lines never intersect.

Hence, the system consisting of parallel lines have no solution.

Therefore, the solution to the system of linear equations graphed is no solution.

Thus, Option C is the correct answer.

5 0
3 years ago
What are the inputs of the following function?
igor_vitrenko [27]

Answer:

  A. {-4, -3, 7, 8}

Step-by-step explanation:

The ordered pairs representing a function are always written ...

  (input, output)

<h3>Inputs</h3>

The set of inputs for the given function is the list of first-numbers of the ordered pairs. Those numbers are -3, -4, 8, 7. When we express them as a set, we like to have the elements of the set in increasing order:

  inputs = {-4, -3, 7, 8} . . . . . . matches the first choice

7 0
1 year ago
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