Ray FM has terminal point F, so that will be the first letter of the name. The second letter of the name can be any of the points to the left of F on the line:
... D, L, M, P, K
Appropriate choices are ...
Step-by-step explanation:
65% of 80= 80×0.65 = 52mins
5/8 of 80= 5/8×80 = 50 mins
<h2>
more mins = 52-50= <em><u>2</u></em><em><u> </u></em><em><u>m</u></em><em><u>o</u></em><em><u>r</u></em><em><u>e</u></em><em><u> </u></em><em><u>m</u></em><em><u>i</u></em><em><u>n</u></em></h2>
You need to add two mixed numerals.
One is positive and one is negative.
To add a positive number and a negative number, first take the absolute value of both, making them both positive. Then subtract the smaller absolute value from the larger absolute value. Finally, the sign of the answer is the same sign as the number that has the larger absolute value.
The numbers are -4 5/8 and 2 1/8
Take absolute values:
|-4 5/8| = 4 5/8
|2 1/8| = 2 1/8
Subtract the smaller absolute value from the larger absolute value.
4 5/8 - 2 1/8 = 2 4/8 = 2 1/2
The greater absolute value is 4 5/8.
Since the number with the larger absolute value was -4 5/8, a negative number, the answer is negative, -2 1/2
-4 5/8 + 2 1/8 = - 2 1/2
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
