Co-interior properties. 180 degrees = two co-interior angles.
180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5 /5
18 = y
Angle 1: 2y + 50
2(18) + 50
36 + 50
86
Angle 2: 3y + 40
3(18) + 40
54 + 40
94
86 + 94 = 180 so it is true.
Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal
5x + 2 = 8x - 7
2 = 3x - 7
9 = 3x
/3 /3
3 = x
Side 1: 5x + 2
5(3) + 2
15 + 2
17
Side 2: 8x - 7
8(3) - 7
24 - 7
17
Both sides are equal; 17.
Angle 1: 86
Angle 2: 94
Sides: 17
<span>3.7 x 10^<span>4 that is the answer</span></span>
Answer:
vertex is (-4,-6)
Step-by-step explanation:
put x+4=0
x=-4
when x=-4
f(x)=-6
Answer: D. ( -7, - 2 )
Step-by-step explanation:
Rewrite this in vertex form and use this to find the vertex. ( h, k )
Answer:
78 ml of 7% vinegar and 312 ml of 12% vinegar.
Step-by-step explanation:
Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.
We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:


We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be
.
The second brand contains 12 vinegar, so amount of vinegar in y ml would be
.
We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.
Upon substituting
in equation (1), we will get:


Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.