What is the value of z in the equation 4(2z + 3) = 12? −13 12 0 12
1 answer:
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Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
Expanding, you get:
And moving the 35 to the other side, you get a simple quadratic.
Solving by factoring:
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
Answer:
Look at image I attached below.
Step-by-step explanation:
Important points to memorize when finding missing angles like these:
- Two angles directly <u>across</u> from each other, <u>not next to</u>, are equal.
- <u>All</u> angles that are on one side of a straight line add up to 180°, because a straight line has an angle measure of 180°.
- A full spin-around equals 360°.
- <u>All</u> angles in <u>any triangle</u> add up to 180°.
When you know all these important rules, the rest is just a matter of adding and subtracting.
