For number 4, we'll need a few facts to answer our question:
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:

, or

Solving for x:

So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
The taxes are figured as follows: 0.089(value of car)
Here the taxes are 0.089(value of car) = $1100.
Divide both sides of this equation by 0.089 to determine the value of the car.
value of car = $12359.55, or approx $12360.
Answer:
C
Step-by-step explanation:
There is a common ratio between consecutive terms
r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = 
This indicates the sequence is geometric with nth term ( explicit formula )
f(n) = a₁
where a₁ is the first term and r the common ratio
Here a₁ = 16 and r =
, then
f(n) = 16
→ C
<span>We
need to rename the given number which is 780 000 into 78 ________.
=> But before we rename it, we need to find the value of 78
=> Since this is a 6 digit whole number, we have ones, tens, hundreds,
thousands, ten thousands, hundred thousands.
=> 7 = hundred thousands
=> 8 = ten thousands
=> 7 hundred thousands + 8 ten thousands
=> Thus, the renamed of 780 000 is 7 hundred 8 ten thousands.
</span>
Answer:
30.9717685346
Step-by-step explanation: