Answer:
0.45 45%
Step-by-step explanation:
Answer:
Shown Below
Step-by-step explanation:
Alright so first off we are going to use the little 67 on that corner. We know that it's a supplementary angle, and supplementary angles add up to 180.
180 - 67 = 113.
Inside angles of a triangle all add up to 180. Using that we can create the equation:
(x + 27) + x + 113 = 180
simplify.
2x + 140 = 180
subtract 140 on both sides.
2x = 40
divide both sides by 2
x = 20
substitute x into the asked equation.
(20 + 27) = 47
47 is your answer.
Answer:
All fractions containing integers are rational numbers.
Step-by-step explanation:
Any number written in <em><u>p/q form where q is not equal to 0 </u></em>is a rational number.
Example: 5/1 = 5, 2/3, 7/4, etc
This includes integers, terminating decimals, and repeating decimals as well as fractions.
An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number
Answer:
Step-by-step explanation:
124 degree angle and "3a - 2b" angle are supplementary (in a straight line -- add upto 180 degrees). So we can say and write:
124 + "3a - 2b" = 180
3a - 2b = 180 - 124
<u>3a - 2b = 56</u>
<u></u>
Now,
"2a + 3b" and "3a - 2b" are also supplementary. So we can write:
2a + 3b + 3a - 2b = 180
<u>5a + b = 180</u>
<u></u>
Lets solve this 2nd equation for b:
5a + b = 180
b = 180 - 5a
We put this into 1st equation and solve for a:
3a - 2b = 56
3a - 2(180 - 5a) = 56
3a - 360 +10a = 56
13a = 56 + 360
13a = 416
a = 416/13
a = 32
Now, finding b:
b = 180 - 5a
b = 180 - 5(32)
b = 20
So,
a = 32, b = 20
Answer:
<em>The total change in his account is represented by the integer -5</em>
Step-by-step explanation:
<u>Operations With Integers</u>
We need to perform addition and subtraction to complete the answer to this problem.
Derrick first withdrew $17 from his account. Since the money is coming out from the account, it's considered as negative. Thus this operation is recorded as -$17.
The next day he deposited $12, which is considered as positive. This operation is considered as $12 or +$12.
The net operation or total change in the account is: -$17 + $12.
Subtracting and simplifying: -$17 + $12 = -$5
The total change in his account is represented by the integer -5