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aev [14]
3 years ago
14

1. The sum of x and -45 is at most 35

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer:

The given set of equation are:   x+ (-45) ≤  35  ,  x - (-45) ≥  35

For the given equality to be true, x  ≤ 35

Step-by-step explanation:

Here, given the first number = x

Second number  = -45

Now, Sum of x  and - 45 is at most 35.

⇒ x+ (-45) ≤  35

Also,  The difference of x and -45 is at least 35.

⇒ x - (-45) ≥  35

Now, simplifying the given set of equations:

x  - 45  ≤  35  ⇒    -x - (-45) >   - 35   ( as 3  <  4  ⇒ -3  > -4)

or, -x  + 45  >  - 35

and second equation is x  + 45 ≥  35

Now, solving both the equations by not taking sign of inequality in to the consideration, we get

x - 45  = 35

x + 45 = 35  

Adding both equations,we get:   ⇒ 2x = 70

                                                          or x = 35

Hence for the given equality to be true, x  ≤ 35

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%202.68%20-%203.57%7D%7B%28%20-%2012.5%20%5Ctimes%200.4%29%7D%20" id="TexForm
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Answer:

\overline{QP} = \overline{SR}

Step-by-step explanation:

Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.

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