Answer: z = 7
Step-by-step explanation:
Step 1: Subtract 4 from both sides
z + 4 - 4 = 11 -4
z = 7
Hi I don't know has to do this
Answer:
1. Yes; 2. Yes ; 3. No; 4. Yes
Step-by-step explanation:
The proportion will have to be read the same way. For example top Δ bottom to the lower Δ bottom (locate in the same place)
14/21 = 6 /9 Yes because the top Δ bottom to lower Δ bottom = top side to
lower same side
13.5/21 = 9/ 14 Yes because the same two sides to the same two sides in
the lower Δ
9/13.5 = 6 21 No because top Δ side to lower Δ same location but the
second one top Δ side to the lower bottom
14 /6 = 21/6 Yes because top Δ bottom to top side = lower Δ bottom to
lower side (in the same place)
Answer:
b. x + (x + 2) + (x + 4) = 39
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Odd number: an integer that when divided by two leaves a remainder (so not a multiple of 2). For example, 1, 3, 5, 7 are all positive odd numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive odd integers</u>
Let x be the first odd integer.
As there is a <u>difference of 2</u> between <u>consecutive odd integers</u>, the next odd integer after x will be (x + 2).
Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive odd integers is thirty-nine" is:
x + (x + 2) + (x + 4) = 39
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 39
⇒ x + x + 2 + x + 4 = 39
⇒ 3x + 6 = 39
⇒ 3x = 33
⇒ x = 11
Therefore, the three consecutive odd numbers are 11, 13 and 15.