Answer:
8 mangoes
Step-by-step explanation:
1) lets create 2 systems of inequalities
where m=# of mangoes
p=# of peaches
so m+p≥15 and 1m+0.5p≤15
lets substitute "13" in the m+p inequality to see how many mangoes dylan can buy:
m+(13)≥15
subtract "13" from both sides:
m≥2
now we substitute "13" in the other inequality:
m+0.5(13)≤15
m+6.5≤15
subtract 6.5 from both sides:
m≤8.5
m≥2 and m≤8.5
seeing our restriction, we can buy 8 mangoes (since we can't have 1/2 a mango)
hope this helps!
The greatest common factor of 27, 45, and 63 is 9
Simple, just divide the number by the percentage and you get the original number. You can check it by multiplying the original number of 272 by 55% or .55 to get 150.
150/.55 = 272
Let's recall that in a parallelogram:
1. The opposite sides are paralell
In our exercise. sides CZ and KG are paralell. And so do sides KC and GZ.
2. Those opposite sides are equal in length.
3. The opposites angles are equal. In our exercise, angle C and G are equal and so do angles K and Z.
4. That also mean that the angles at the top of the figure are supplementary. It means they add up to 180 degrees. We have the same situation with the two angles at the bottom of the parallelogram.
In our case then:

Now, we can find the measure of angles K and Z, as follows:
