Answer:
x=42 degrees
y= 66 degrees
z=66 degrees
Step-by-step explanation:
X is equal to 42 degrees because all angles in a triangle add up to 180, and since we are given two angles of the triangle, we can add them, then subtract the answer from 180.
48+90=138
180-138=42
Therefore x is 42 degrees.
For angle y and z, they are made up of 3 angles that equal 180. We have one angle measurement given, 48. So we would subtract that from 180, then divide the answer by 2.
180-48=132
132/2=66.
Therefore y and z is 66 degrees.
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Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = 
B = 
C = 
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets
.
Mrs. Baca's class gets
.
And Mr. Canyon's class gets
.
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
Answer:
p= 0.0625
Step-by-step explanation:
p=0.25/4
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No, because you have 1 more marble than her. While you have 6 marbles in the bag, she has 4; there’s a 3/5 chance that you’ll win, and a 2/5 chance that she’ll win.
Circumference
C = pi d
C = 3.14 x 10
C = 31.4 cm
Area
A = pi r^2
A = 3.14 x 5^2
A = 78.5 cm^2