Answer: x= 21.6
Step-by-step explanation:
12^2 + 18^2 =x^2
144 + 324 =x^2
468 = x^2
c= 21.633
To the nearest tenth place is c= 21.6
Answer:
Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
so
In this problem
we know that

the measure of angle VXY is equal to
-----> by supplementary angles

therefore

Remember that
m<UVW=m<XVY -----> is the same vertex
therefore
Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)
Answer:
Acute angle
Explanation:
An acute angle is an angle that measures less than 90° but greater than 0°.
X = cups of tea per hour
y = cups of coffee per hour
David makes 30 cups of tea per hour = 30x
David works for D hours this week.
Therefore number of weekly cups of tea = number of hours * cups of tea per hour
This is 30x * D = 30Dx
For Andrew, it is similar
30Ay
Because Andrew made an additional 10 cups, then it is 30Ay + 10
(cups of coffee this week)