Answer:
A. Translate triangle ADE so that point D lies on point B to confirm angle D is congruent to angle B.
Step-by-step explanation:
Two triangles are said to be similar if the ratio of their corresponding sides are equal.
The AA Similarity Postulate states that If two angles of one triangle is congruent to two angles of another triangle, then the two triangles are similar.
Translation is the movement of a point up, down, left or right.
Since ∠A = ∠A (reflexive property of congruence)
We have to prove that ∠D = ∠B, by Translating triangle ADE so that point D lies on point B
Answer:
<em>The 44th term is 23</em>
Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the <u>common difference</u>.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
If at least two consecutive terms are given, we can find the common difference by subtracting them.
We are given the terms 152, 149, 146,...
The common difference is
r = 149 - 152 = -3
The first term is a1=152.
Now we apply the general formula to find the term n=44
The 44th term is 23
Jack paid $ 23000 for the ring.
<u>Solution:</u>
Given that, Jack Matthew bought a new diamond ring for $20,000
Sales tax is 5% with a 10% excise tax
<em><u>To find: total price including taxes</u></em>
Given that sales tax is 5% of 20,000
Also given that excise tax is 10%
<em>Total price = cost price + sales tax + excise tax</em>
Total price = 20,000 + 1000 + 2000
Total price = 23000
Hence, jack paid $ 23000 for the ring.
Answer:
Ok so this is not a function.
However i'm not real sure about domain and range because i'm not sure what you can do in those boxes but this is a guess.
Hope this helps though!:)
Domain: -3, -2, -1, 0
Range: 12, 13, 14, 15
Answer:
The answer should be 216 if you are just looking for the volume.
hope i helped
Step-by-step explanation:
In order to find volume, you must first know the formula A*A*A meaning width and length which make base and height in order to find the volume. Since its a cube all sides must be equal and that means all the measurements are the same. So all you must do is get six and times it by six. Then the answer for that must be multiplied again to get your volume.
EX: 6*6*6=216.
