Answer:
To find angle y you subtract the two angles form 180 degrees because it is a straight line. Then you subtract angle y and 72 from 180 because a triangle adds up to 180 degrees and you get angle x.
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If Andy has 102 coins mixed with dimes and quarters and monetary value of $17.10 then he has 56 dimes and 42 quarters.
Given number of coins Andy has is 102 and montary value of all coins is $17.10.
We have to determine number of dimes and quarters.
1 dime=$0.10
1 quarter=$0.25
Suppose the number of dimes be x and number of quarters be y.
The equations are:
0.10x+0.25y=17.10------------1
x+y=102-------------2
from equation 2, y=102-x
Put the value of y=102-x in equation 1
0.10x+0.25(102-x)=17.10
0.10x+25.5-0.25x=17.10
-0.15x=17.10-25.5
-0.15x=-8.4
x=8.4/0.15
x=56
Put the value of x in y=102-x
y=102-56
y=46
Hence Andy has 56 number of dimes and 46 quarters.
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Answer:
B
Step-by-step explanation:
The zeros of a polynomial are the solutions to the function. They are found from the factors. The factors which multiply to make the equation in standard form. To write the factors reverse the process by unsolving the factor.
x = -2 comes from x+2
x = 5 comes from x-5
x = 6 comes from x-6
The factored form is (x+2)(x-5)(x-6).
The price that does not belong is 16,18.40. You do this by finding the percent gratuity, which is 15%. All the other values have 15% gratuity except the $16.
(8•365)•35 is the correct answer because 8 hrs of sleep each day times 365 days in a year = 2920 hrs slept in one year. Now you must take 2920 and multiply it by the 35 years she has been alive to get 102,200 hrs of sleep.
