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
Use a variable for the unknown number so it would be 77-2x also if you don't know a number and a variable together means to multiply them
Answer:
We can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.
Step-by-step explanation:
First of all, we need to calculate the percentage of the spinner that is both green and blue.
There are a total of 12 sections on the spinner.
6 out of 12 of the sections are green. 6/12 = 0.5 or a 50% change
2 out of 12 of the secions are blue. 2/12 = 0.16 or a 16% change
3 out of 12 of the sections are pink. 3/12 = 0.25 or a 25% chance
1 out of 12 sections are yellow. 1/12 = 0.08 or a 8% chance
Athough I provided the percantages for each color, all we really need is the data for the green and blue.
0.5 + 0.16 = 0.66
12 x 0.66 = 7.92 or 8 when rounded to the nearest whole number
Therefore, we can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.
Hope this helps! Have a blessed day! :)
Answer:
x = 50
Step-by-step explanation:
Answer:
14.4
Step-by-step explanation:
If someone drinks 55%, that means 45% is left over. You multiply 32 x 45 to find out what is left.
