Answer:

Step-by-step explanation:
1) Cancle -60 on both sides.

2) Simplify 2x + 3x to 5x.

3) Since both sides are equal, there are infinitely many solutions.

<u>Therefor</u><u>,</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>has</u><u> </u><u>infinitely</u><u> </u><u>many</u><u> </u><u>solutions</u><u>.</u>
Answer:
$90
Step-by-step explanation:
The shoes now cost 130% of the original cost
The original cost is 100%
Take the new amount and divide it by 130:
117/130 = .90
Then multiply that number by 100 to get the original percent
.90 x 100 = $90
To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117
$90 x 1.30 = $117
Answer:
If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis.
Step-by-step explanation:
Suppose you have a business in which you'd like to make a change to increase your business. After making the change, you can use a significance test it. To conduct a significance test, you make a null hypothesis which states essentially that no effect happened. You also make an alternative hypothesis that states the change had an effect. You then test the two to see which one stands. In a significance test, using the p-value from your sample you compare it to the null and alternative hypotheses. You make a conclusion when:
- If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis since the evidence is in favor of it.
If the p-value is greater than the significance level, then you fail to reject the null hypothesis and cannot conclude. There isn't evidence in favor of the alternative hypothesis.
A GCF is the greatest common factor. It is the largest number that fits into other numbers. A seven cannot fit into a number smaller than itself, that doesn't work. Try to fit 7 into a smaller number like 4, it doesn't work.
Option A is 21 and 3 and Option C is 7 and 1. Those can be eliminated because 7 is larger than 3 and 1.
Option B is 7, 14. 7 Is the largest number that goes into 7 and it goes into 14. So B works.
28 and 7 is Option D. 7 is the largest number that goes into 7 and it goes into 28, so D works.
Reasons:
1. Because, MO cuts Angle PMN in two equal parts.
2.As ∠PMN is cut in to equal parts thus:
∠PMN = ∠NMO + ∠PMO, where these two parts (∠NMO, ∠PMO) are equal.
3. Both are the same, common you can say..
4. Because, MO cuts Angle PON in two equal parts.
5. As ∠PON is cut in to equal parts thus:
∠PON = ∠NOM + ∠POM, where these two parts (∠NOM , ∠POM) are equal.
6. From the above statements, we have:
= ∠NMO + ∠PMO (Proved)
= ∠NOM + ∠POM (Proved)
= MO = MO (Proved)
Thus, ∆PMO ≅ ∆NMO, by AAS rule
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As simpoool as that!