Answer:
That would be the side-side-side (SSS) postulate, which states that if all the sides of a triangle are in a fixed ratio to all the corresponding sides of another triangle, then the two triangles are said to be congruent.
Step-by-step explanation:
Looking at triangles ABC and DEF, we notice that:
since
Let me know if you have further questions.
Answer:
4 7/8
Step-by-step explanation:
3 1/4 / 2/3
convert mixed numbers to improper fractions: 3 1/4 / 2/3
13/4 / 2/3
apply the fraction rule: a/b / c/d = a/b * d/c
= 13/4 * 3/2
multiply fractions: a/b * c/d = (a * c)/(b * d)
= (13 * 3)/(4 * 2)
multiply the numbers: 13 * 3 = 39
= 39/(4 * 2)
multiply the numbers: 4 * 2 = 8
= 39/8
convert improper fractions to mixed numbers: 39/8 = 4 7/8
= 4 7/8
Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:
Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:
Then your expression for this quadratic should be:
Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one
We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375
To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870
The buying power lost will be the difference between your required interest and actual interest.
Thus:
Buying power lost=1870-1375=$495
Leannie bought 5 of Dr. Mumin’s book and 3 of Dan Moyer’s book
