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belka [17]
3 years ago
8

Which step should be used to prove that point P is equidistant from points R and Q

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Step-by-step explanation:

1.  If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.

2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.

3.  In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.

4. In triangles PRS and PQS, all three angles are equal.

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The left and right page numbers of an open book are two consecutive integers whose sum is 385. Find these page numbers.
Alona [7]
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers

So algebraically, consecutive integers follow the form x, x+1, x+2, etc...

Since the sum of two consecutive integers is 239, this means:

x%2Bx%2B1=239

2x%2B1=239 Combine like terms on the left side

2x=239-1Subtract 1 from both sides

2x=238 Combine like terms on the right side

x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x

x=119 Divide

So our first number is x=119

So to find the next number, simply add 1 to it to get 119%2B1=120

Answer: So our two page numbers are 119 and 120
6 0
3 years ago
Solve the inequality<br> 7+7(x+4)&gt;21
Kryger [21]

Answer:

x>-2

Step-by-step explanation:

Hi there!

We are given the inequality 7+7(x+4)>21, and we want to solve it

Solving an inequality is a lot like solving an equation; we want to isolate x on one side by itself.

So to start, we'll preform the distributive property on 7(x+4) (multiply x by 7, then multiply 4 by 7 and add those two together).

7+7x+28>21

Now combine like terms.

7x+35>21

Subtract 35 from both sides

7x>-14

Divide both sides by 7

x>-2

Hope this helps!

8 0
2 years ago
Simplify the following expression by combining like terms.Select the most simplified expression 2w + 5w - 6 + 4w
KATRIN_1 [288]
Answer is 11w-6
Add all the like terms. So all with the w’s which is how I got 11 and then 6 stays the same hence the -6
4 0
2 years ago
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39.75 square meters
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3 years ago
Point d is on line segment ce. Given ce = 18 and cd=12,determine the length de
Ostrovityanka [42]

Answer:

Step-by-step explanation:

7 0
3 years ago
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