Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively

Mathematics

2 answers:

Alenkinab [10]3 years ago

4 0

Which term accurately completes the proof?
Alternate interior
Corresponding
Same-side interior
Vertical

Because angles SQU and WRS are CORRESPONDING angles, they are congruent according to the CORRESPONDING Angles Postulate

Zanzabum3 years ago

3 0

The correct answer is:

Corresponding (for both blanks)

Explanation:

Corresponding angles are angles that are in the same relative position to both the parallel line they are on and the transversal. In this case, SQU and WRS are both above the parallel line they are on and on the same side of the transversal; this makes them corresponding angles. This also means it is the corresponding angles postulate.

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A jar is filled with only dimes and quarters. The jar contains a total of 60 coins and the value of the jar is $11.25. How many

inessss [21]

Answer:

35 quarters

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

$d+q=60$ is an equation representing the total number of coins
$0.10d+0.25q=11.25$ is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get $d=60-q$ . We now substitute this for d in the second equation.