Answer:
First score is 90
Step-by-step explanation:
Let A represent the first score
Let B represent the second score
Let C represent the third score
A+B+C=217 equation 1
If the first score A is 30 points more than the second,B
A=B-30 equation 2
Lastly,sum of A&B is 16 more than 2C
A+B=2C+16 equation 3
From equation 1
A+B=217-C equation 4
substitute for A+B in equation 3
217-C=2C+16
217-16=2C+C
201=3C
C=67
substituting C in equation 4
A+B=217-67
A+B=150
if the first score more than the first,then the first 90 while second 60 since A+B=150
The two horizontal lines are parallel ( This is given by the red triangles)
Because the lines are parallel, the two angles 1 & 2 would be the same.
Set the two equations for the angle to equal each other and solve:
8y-6 = 7y
Add 6 to each side:
8y = 7y+6
Subtract 7y from each side:
y = 6
Now you have the value for y, solve for angle 2 by replacing y with 6:
Angle 2 = 7y = 7(6) = 42 degrees.
Answer:
letter A
Step-by-step explanation:
This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.
Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5
So, 13.5+22.5=36, or letter A
You can write the amount that they spent individually in a ratio where:
Holly : Jimmy
2 : 5
The total of this ratio would be 2+5 = $7.
To find the scale factor multiplier for the base ratio of 2:5:
35/7 = 5
Multiply both sides of the ratio by 5.
Holly : Jimmy
2 x5 : 5 x5
10 : 25
You can see that the total of this ratio is now $35, where Jimmy spent $25.
Tricky one because they're asking for C not x.
2x + 2x + 6x = 180
10x = 180
x = 18
C = 2x = 36
Last one
