12 different boards can be made
1 marker can go on 3 different posters and their are 4 markers so 3 times 4 equals 12
9514 1404 393
Answer:
90°
Step-by-step explanation:
The ratio of the largest angle to the total is ...
10/(3+7+10) = 10/20 = 1/2
The largest angle is half the total of all angles:
1/2×180° = 90° . . . . measure of the largest angle
Answer:
D
Step-by-step explanation:
27÷3=9
Answer:
z = 94
x = 7
Step-by-step explanation:
The angle with a measure of 94° and the angle labeled "z" are vertical angles
Vertical angles are congruent ( equal to each other )
Which means that because "z"s vertical angle = 94° z also equals 94°
The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles
Supplementary angles add up to equal 180
Hence, 94 + 12x + 2 = 180
^ (Note that this is the equation we will use to solve for x )
Now we solve for x
94 + 12x + 2 = 180
step 1 combine like terms
94 + 2 = 96
we now have 180 = 96 + 12x
step 2 subtract 96 from each side
180 - 96 = 84
96 - 96 cancels out
we now have 84 = 12x
step 3 divide each side by 12
84 / 12 = 7
12x / 12 = x
we're left with x = 12
Answer:
- 8x + 3y = 57
- y = -8/3x + 19
- y + 5 = -8/3(x - 9)
Step-by-step explanation:
<u>Given function</u>
<u>Line parallel to the given has the same slope and passes through the point </u>
<u>Determining the equation</u>
- 8x + 3y = c
- 8*9 + 3*(-5) = c
- c=72 - 15
- c = 57
<u>So the function is in </u><u>standard</u><u> form</u>
<u>Converting to </u><u>slope-intercept</u><u> form</u>
- y = mx + b
- 3y = -8x + 57
- y = -8/3x + 573
- y = -8/3x + 19
<u>Point-slope</u><u> form, using the given point</u>
- y - y1 = m(x - x1)
- y - (-5) = -8/3(x - 9)
- y + 5 = -8/3(x - 9)
