Answer:
49
Step-by-step explanation:
First you must do x times 6, x is really just 1. After you do that, you times it by 7.
90 minutes = 1.5 hours.
Divide total miles driven by the time to find how many miles are driven in 1 hour:
250 miles / 1.5 hours = 166 2/3 miles per hour.
Multiply the miles driven in one hour by 6 hours:
166 2/3 x 6 = 1000 miles
<h3>Answers:</h3>
- Congruent by SSS
- Congruent by SAS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SSS
- Not congruent (or not enough info to know either way)
- Congruent by SAS
- Congruent by SAS
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Explanations:
- We have 3 pairs of congruent sides. The tickmarks tell us how the congruent sides pair up (eg: the double tickmarked sides are the same length). So that lets us use SSS. The shared overlapping side forms the third pair of congruent sides.
- We have two pairs of congruent sides (the tickmarked sides and the overlapping sides), and an angle between the sides mentioned. Therefore, we can use SAS to prove the triangles congruent.
- We don't have enough info here. So the triangles might be congruent, or they might not be. The convention is to go with "not congruent" until we have enough evidence to prove otherwise.
- We can use SAS like with problem 2. Vertical angles are always congruent.
- This is similar to problem 1, so we can use SSS here.
- There isn't enough info, so it's pretty much a repeat of problem 3
- Same idea as problem 4.
- Similar to problem 2. We have two pairs of congruent sides and an included angle between them allowing us to use SAS
The abbreviations used were:
- SSS = side side side
- SAS = side angle side
The order is important with SAS because the angle needs to be between the sides mentioned.
Answer:
D. 
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of arc WX.
Upon looking at our given diagram, we can see that angle S is formed by intersecting secants outside the circle.
We will use intersecting secants theorem, which states that measure of an angle formed by two intersecting secants outside a circle is half the difference of intercepted arcs.
Using above theorem, we can set an equation to find the measure of arc WX as:
Therefore, the measure of arc WX is 32 degrees and option D is the correct choice.
