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steposvetlana [31]
4 years ago
9

Given: X is the midpoint of segment WZProve: WX = ½ WZHint: What comes first in a proof?Hint: You may want to draw a diagram to

help you see this problem! (photo attached)

Mathematics
1 answer:
sattari [20]4 years ago
8 0
<span>Answer: Since X is the midpoint, you know WX=XY and VX=XZ (given to you in the problem statement) When you draw your line segments, label the five points W,X,Y,V and Z Now also draw line segments WV and ZY. You now have two triangles. The angle zxy = wxv since opposite angles are equal. Given the above, you now have 2 triangles that are congruent using side-angle-side Since the two triangles are congruent, then the sides opposite the angle x (WV and ZY) must be equal.</span>
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The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14
Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0
4 years ago
What is the first step in solving quadratic equations by finding square roots? a. give the positive and negative answer c. squar
daser333 [38]

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.

4 0
3 years ago
I don't understand how to solve?
Kobotan [32]
Ok u have a phone and call 911 and say I don't know to solve can u help me
6 0
4 years ago
If LR = 12 and PR = 4, find LP. Explain.
Softa [21]
<h2>Answer:</h2>

LP = 8 because LR + PR = LP according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution

<h2>Step-by-step explanation:</h2>

From this problem, we know that:

LR = 12

PR = 4

So here we have a Line segment. Recall that a line segment has two endpoints, places where they end or stop and they are named after their endpoints, so the line segment here is LR whose measure is 12. Then, according to Segment Addition Postulate it is true that:

LP + PR = LR

By substituting LR = 12 and PR = 4, we have:

LP + 4 = 12

Subtracting 4 from both sides:

LP + 4 - 4 = 12 - 4

LP + 0 = 8

Finally:

LP = 8

7 0
3 years ago
Read 2 more answers
Find the midpoint of A and B where A has coordinates (8,5)<br> and B has coordinates (3, 7).
Mama L [17]

Answer:

Step-by-step explanation:

Average of x-coordinates = (8+3)/2 = 5.5

Average of y-coordinates = (5+7)/2 = 6

Midpoint at (5.5,6)

5 0
3 years ago
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