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
Answer:
It is A ( sister helped me if it does not work it is B) \
Have a great day and MERRY CHRISTMAS!!!
Step-by-step explanation:
Answer:
The actual height is 150ft
Step-by-step explanation:
Given
Required
Determine the actual height
Substitute 60ft for width in:
Express as fraction
Make height the subject
Answer:
-8
Step-by-step explanation:
x+x+1= -15
2x+1=-15 (group the x's together)
2x= -14 (move the 1 to the right side)
x= -7
(-7)+(-8) = -15
-8 is the smaller integer
The function:f ( x ) = x * 0.965^twhere x is the initial amount and t is the number of the years80 = x * 0.965^380 = x * 0.89632x = 80 : 0.89632 ≈ 89Answer:The initial amount of animals was 89.
