Answer:
Step-by-step explanation:
Given
See attachment for box
Required
The volume of the box
The number of boxes in each direction represents the length of that dimension.
So, from the attachment
The volume is:
Answer:
Option (A).
Step-by-step explanation:
Statements Reasons
1). Draw a line ZY parallel to PQ 1).Construction
2). m∠ZRP + m∠PRQ + m∠QRY = 180° 2). Angle addition postulate
3). ∠ZRP ≅ ∠RPQ 3). Alternate interior angles theorem
4). ∠QRY ≅ ∠PQR 4). Alternate angle theorem
5). m∠RPQ + m∠PRQ + m∠PQR =m∠ZRY 5). Substitution
6). m∠ZRY = 180° 6). Definition of supplementary angles
7). m∠RPQ+m∠PRQ+m∠PQR = 180° 7). Substitution
Here reason of statement (6) is incorrect.
m∠ZRY = 180°, because angle ZRY is a straight angle not a supplementary angle.
Therefore, Option (A) will be the answer.
Answer:
Step-by-step explanation:
Question 1:
First, write the equation out:
4(x+3)=7x-3
solve for x:
4x+12=7x-3
15=3x
x=5
Question 2:
Do the same on the second question:
30-x=3x-6
36=4x
x=9
Answer:
Solution =
=
5
Step-by-step explanation:
1. Rearrange Terms
100 + 30x = 50x
30x + 100 = 50x
2. Subtract 100 from both sides
3. Simplify
4. Subtract 50x from both sides
5. Simplify
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Answer:
B.
Step-by-step explanation:
We have, and .
It is required to find .
Substituting the functions, we get,
⇒
⇒
⇒
⇒
Thus, we have,
= .
Hence, option B is correct.