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
1500000000000 in scientific notation is
1.5 * 10^12
That is because you move the decimal point 12 places to the left for it to become 1.5.
1.5 * 10^12
move the decimal point 12 places to the right and you got the original number, 1500000000000.
Hope this helps!
Answer:
Step-by-step explanation:
2x^2-10x+7 A=1, B=-10. C=7
-(-10)±√-10^2-4(1)(7)
------------------------------
2(1)
10±√100-28
----------------
2
10±√72
-----------
2
<u>10±8.485281374</u>
2
<u>10+8.485281374 </u>=9.24
2
<u>10-8.485281374</u> =0.76
2
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
Answer:
Surface area is 72
The surface area unit is square centimeters, or 
Hope this helps!
