Answer:
BC=YZ
Step-by-step explanation:
The SAS Congruency states that if two sides and one angle in a triangle are equal then the triangles are said to be congruent.
It is given that,
angle B= angle Y
AB=XY
to prove they are congruent we need to show that BC=YZ
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<em>They took 101 peaches to market.</em>
<u>Check:</u>
In the 1st hour, they sold (101/2 + 1/2) = 102/2 = 51. They had 50 left.
In the 2nd hour, they sold (50/3 + 1/3)=51/3=17. They had (50-17)=33 left.
In the 3rd hour, they sold (33/4 + 3/4) = 36/4 = 9. They had (33-9) = 24 left.
In the final hour, they sold (24/5 + 1/5) = 25/5 = 5. They had (24-5) = 19 left. yay!
Fiona and Camilla took their 19 remaining peaches and went home. Sharing with
their parents and their brother Rowlf, each person had 3.8 peaches for dinner.
There was a lot of activity in the bathroom overnight.
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The key to solving this one is to work it backwards.
-- They had 19 peaches left at the end of the day.
-- During the final hour, the 1/5 of a peach that they sold left them with 19,
so they had 19-1/5 before they sold the 1/5 of a peach.
The 19-1/5 was 4/5 of what they had at the beginning of the final hour.
So, at the beginning of the final hour, they had (5/4)x(19.2) = 24 .
-- During the 3rd hour, the 3/4 of a peach that they sold left them with 24,
so they had 24-3/4 before they sold the 3/4 of a peach.
The 24-3/4 was 3/4 of what they had at the beginning of that hour.
So, at the beginning of the 3rd hour, they had (4/3)x(24.75) = 33 .
Do the same for the 2nd hour.
Then do the same for the 1st hour.
And you'll work your way back up to 101 peaches.
Answer:
x is 35 cm
Step-by-step explanation:
To find the value of x, we will divide the volume by the cross-section
Mathematically, that will be;
4375/125 = 35 cm
Answer: 16
Step-by-step explanation:
9,10,12,x ,20, 25 so we know the median is 14 which is the middle number.
Since the numbers are 6 it means there will be 2 middle numbers and if you divide them it will be 14.
we know one of the middle numbers is 12 and we trying to find x .
So we could use the equation x + 12 = 2(14)
x + 12 = 28
-12 -12
x= 16 so X is 16. check: 16+12=28/2 is 14.
Answer: x = -5, y = 9
Step-by-step explanation:
The solution to the system of equations can be represented as a point.