8:5 x:7
8/5=x/7 Solve for x
x=11 1/5 or 11.2 liters
Answer:
to find the answer, you need to find the measure of the angle on the other side of the 142. and since it's a straight line, those two angles measures are =to 180 (they're supplementary angles). so the measure of that angle is 38 degrees. to find the measure of the remaining angle, you subtract the angle measures you already know from 180 (because the sum of interior angles in a triangle is 180.) to, the answer is:
180-90-38= 52 degrees or A
<span>\Delta BAC\sim \Delta ADC\sim \Delta BDA
from these we can establish the relations
AB^{2}=BD\times BC, AC^{2}=DC\times BC and AD^{2}=BD\times DC
consider AC^{2}=DC\times BC \Rightarrow AC^{2}+AD^{2}=DC\times BC+AD^{2}\rightarrow(B) is true
but it is not useful to prove the given theorem
again consider AC^{2}=DC\times BC \Rightarrow AC^{2}+AB^{2}=DC\times BC+AB^{2}\rightarrow(D) is true
\Rightarrow AC^{2}+AB^{2}=DC\times BC+BD\times BC
\Rightarrow AC^{2}+AB^{2}=BC(DC+BD)
\Rightarrow AC^{2}+AB^{2}=BC(BC)
\Rightarrow AC^{2}+AB^{2}=BC^{2}</span>
<span>The slope-intercept equation for the percent of women y that smoke and x years since 1990 is y = (29/100)x + 15.9.
The slope-intercept equation for the percent of men y that smoke and x years since 1990 is y = (-19/100)x + 29.7.
Slope was found by assigning (x1,y1) and (x2,y2) values to the given coordinates. Y-intercept is simply the y-value where x = 0. (The first coordinate given in each set)
After 28.75 years the percents of men and women smokers will be the same. This is found by making each equation equal to the other. The percent of men and women smokers will be about 24.2%. Found by substituting 28.75 into either equation for x.</span>
1.68 rounds up to 2 because anything .5 or up rounds up and anything below .5 rounds down
