Answer:
x=-8
y=4
Step-by-step explanation:
first you multiply this equation (-3x-2y=16) with negativ it will be like this 3x+2y=-16
3x+2y=-16
(x+9y=28)3 _multiply with 3
3x+2y=-16
3x+27y=84
use minus(-) =3x-3x=0
=2y-27y=-25y
=-16-84=-100
the result:-25y=-100
y=4
take any simple equation and replace y with 4
x+9y=28
x+9(4)=28
x+36=28
x=28-36
x=-8
answer:x=-8,y=4
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Hope this helped :)
Answer:
x = 60 degrees, y = 120 degrees, z = 30 degrees
Step-by-step explanation:
To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle. This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure. Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:
x + x + x = 180
3x = 180
x = 60 degrees
Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees. This lets us write the following equation:
y + 60 = 180
When we subtract 60 from both sides to solve, we get:
y = 120 degrees
Finally, we should notice that the triangle on the right is isosceles. This means that two of the side lengths (and thus two of the angles) are equal. This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal. From this information we can write the following equation:
y + z + z = 180
If we substitute the value for y and solve, we get:
120 + 2z = 180
2z = 60
z = 30 degrees
Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.
Hope this helps!
Answer:
In other words, the base must be at least 9 feet long.
Step-by-step explanation:
The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.
Recall that the area of a triangle is given by:
Since we want to area to be at least 36 square feet:
We are given that the height is eight feet. Substitute:
Simplify:
Divide both sides by four. Hence, our inequality is:
In words, this means that the base must be at least 9 feet long.
