3/7 is 0.42857142857 in decimal form. Rounded to the thousands its 0.429
Answer:
it is given
, angle 2
, angle 3
, converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is <u>given
</u>. We see that <u>
angle 2
</u> is congruent to <u>angle 3</u> by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the <u>
converse alternate exterior angles theorem
</u>.
Correct! lines that have undefined slopes are always parallel to the y-axis as the change in x is 0. A gradient is calculated by the change in y divided by the change in x and anything divided by 0 is referred to as undefined.

(calculation for a gradient)
Hope that helps sorry if its a bit confusing :)
Answer: 32.5g of sugar
Step-by-step explanation:
if 1/2 cup of fruit cocktail is 13g of sugar then half of that, or 1/4 cup is going to be 6.5g of sugar. With that in mind, multiplying our 1/2 by 2 to give us one full cup of fruit cocktail will tell us that there is 26g of sugar in one cup. Adding our 1/4 cup to our whole cup will give us 32.5g of sugar in 1 1/4 cups of fruit cocktail.
X - the rate charged by the first mechanic
y - the rate charged by the second mechanic
The sum of the two rates was $155.

The first mechanic worked for 10 hours, the second mechanic worked for 5 hours, and together they charged $1000.

Set 155-x and 200-2x equal to each other:

The rate charged by the first mechanic was $45, and the rate charged by the second mechanic was $110.