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
Step-by-step explanation:
Unfortunately you didn’t provide the expressions to chose from
however, we can write :
(5g+3h+4) •2 = 2*5g + 2*3h + 2*4 (using distributive property)
= 10g + 6h + 8.
Answer: 17 miles
.5hr x 10Mph + .5 x 24mph = 17 miles
Step-by-step explanation:
Answer:
meters.
Step-by-step explanation:
To find diver's final location relative to the surface of water we will subtract 
from 
because diver dives away another from his previous location of .
Now we will convert our mixed fraction into improper fraction and then we will find a common denominator.
Now let us convert our answer in mixed fraction.
![=\frac{-243}{4}=[tex]-60\frac{3}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-243%7D%7B4%7D%3D%5Btex%5D-60%5Cfrac%7B3%7D%7B4%7D)
[/tex]
Therefore, diver's final location relative to the surface of the water is meters.
Answer:
120 On edge i got it right
Step-by-step explanation:
