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kogti [31]
2 years ago
12

In the figure below, j || m. Find the values of x and y.

Mathematics
1 answer:
Sedaia [141]2 years ago
3 0

X and 73 are same-side interior angles, which are supplementary (they add up to 180).

x + 73 = 180

x = 107

X and (6y - 79) are vertical angles, which are congruent (have the same measure/value.

x = 6y - 79

107 = 6y - 79

6y = 186

y = 31

Hope this helps!

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Solve each system of equations without graphing: 6t-9u=10 and 2t+3u=4
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Answer:

6t-9u=10

2t+3u=4

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6 0
2 years ago
The average salary for a doctorate is 39,000 less than twice that of someone with a bachelor's degree. Combined, a people (one w
tester [92]

Answer:

doctorate salary:  d = $71,000

bachelor salary:     b = $55,000

Step-by-step explanation:

doctorate salary:  d

bachelor salary:     b

relationship between b and d:  d = 2b - $39,000

Unfortunately, your "1 + 126,000" could not be correct.  I'm going to assume that the total of the two salaries is $126,000.  If that's the case, then:

bachelor salary + (2 times bachelor salary less $39,000) = $126,000.  In symbols,

b + 2b - $39,000 = $126,000

Consolidating the 'b' terms results in 3b - $39,000 = $126,000, and so:

3b = $126,000 + $39,000 = $165,000

Dividing both sides by 3 yields the bachelor salary:  b = $55,000

Then the doctoral salary is 2b - $39,000 = 2($55,000) - $39,000, or $71,000.

Check:  Does b + (2b - $39,000) = $126,000?  Yes.

Then the doctoral salary is d = $103,000, and the bachelor salary $29,000

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