Answer:
x=30, <A=60, <C=30
Step-by-step explanation:
A triangle always has its total angles added up to 180 degrees, so we can set up the following equation:
90+2x+x=180
90+3x=180
3x=90
x=30
Since x=30, this means <C is 30 degrees. For <A, it's twice as much as <C, so 2*30=60.
So x=30, <A=60, <C=30
Hope this helped!
A) Every T is worth 7 points, and every F is worth 3 points. So if we let T = 7 and F = 3, we can count how many T's and F's each team scored and write it as an expression.
So for the East Side Bulldogs, they have 7 touchdowns and 6 field goals, thus the expression for them is:
7T + 6F
For the West Side Bulldogs, they have 5 touchdowns and 5 field goals, thus the expression for them is:
5T + 5F
B) The difference would be written as:
7T + 6F - (5T + 5F) = 2T + F
C) To determine how many more points the winning team has than the losing team, calculate the scores of the two teams. Then subtract the smaller number from the larger number to determine the score differential.
15 is 37.5% of 40
<em>Equation: Y = P% * X</em>
<em />
P% = Y/X
P% = 15/40
p = 0.375
0.375 × 100 = 37.5%
3x² - 8x > 11
3x² - 8x - 11 > 11 - 11
3x² - 8x - 11 > 0
x > <u>-(-8) +/- √((-8)² - 4(3)(-11))</u>
2(3)
x > <u>8 +/- √(64 + 132)</u>
6
x ><u> 8 +/- √(196)
</u> 6
x > <u>8 +/- 14</u>
6
x > <u>8 + 14</u> x > <u>8 - 14</u>
6 6
x > <u>20</u> x > <u>-6</u>
6 6
x > 3.33 x > -1
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