Answer:
Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal
In this problem
m<VXY=m<VUW ------> by corresponding angles
m<XVY=m<UVW -----> is the same angle
therefore
m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees
therefore
Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent
There are 4 quarts in a gallon to find how many times he will use the container to fill the aquarium you need to multiply 4 by 5:
4×5=20
Milton with fill the container 20 times before the container is full
hope this helped
Answer: CI = (0, 8)
Step-by-step explanation: Confidence interval for difference between mean is given below as
Lower limit
= (x1 - x2) + margin of error
Upper limit
= (x1 - x2) - margin of error
where x1 - x2 = 8 and margin of error = 8
For lower limit,
= 8 - 8 = 0
For upper limit
= 8 + 8 = 16
Hence CI = (0, 8)
Answer:
a (9 - 8 a x)
Step-by-step explanation:
Simplify the following:
3 a - 2 a x×4 a + 6 a
-2 a x×4 a = -2 a^2 x×4:
3 a + -2 a^2 x×4 + 6 a
-2×4 = -8:
3 a + -8 a^2 x + 6 a
Grouping like terms, 3 a - 8 a^2 x + 6 a = -8 a^2 x + (3 a + 6 a):
-8 a^2 x + (3 a + 6 a)
3 a + 6 a = 9 a:
-8 a^2 x + 9 a
Factor a out of -8 a^2 x + 9 a:
Answer: a (9 - 8 a x)
