Answer:
0.61
Step-by-step explanation:
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1 3-8 5
Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3) (I used point B here)
5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span> 5 5 5
Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span> 5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span> 5</span>
Line a intersects both lines c and d.
Line a is a transversal to lines c and d.
Angles 10 and 14 are corresponding angles.
Since corresponding angles are congruent, lines a and c are parallel.
Line b has nothing to do with this question.
Answer is choice A.
This is actually easy, because you just have to add up the 25 +15 and that would get you 40. Then you would have to add 20 to the 40 and that would be 60, so that would make 40/60 chance that she wouldn't get blue.
And if you need it in a percentage, then you can just convert this into a percentage which would be, 66.666666666667%, also known as 66.67%
Hey there!
In order to compare these fractions, we can give them a common denominator.
Our least common multiple of 3 and 8 is 24. We multiply 2/3 by 8/8 and 5/8 by 3/3 to get
16/24 and 15/24
Therefore, 2/3 is bigger.
Hope this helps!