mathwhiz9125

11.01.2020 • 

Mathematics

Me out on my last questions for 50

7.at jessica’s school, students can buy scientific calculators for $15.00 each. graphing calculators cost 5 times that amount. if $345.00 worth of calculators were sold and 3 of those were graphing calculators, how many scientific calculators were sold?

8.for a set of three consecutive odd integers, three times the largest integer is 7 less than twice the sum of the other two integers. what is the largest integer in the set?

9.two trains are traveling towards each other at a constant speed.
the trains are currently 714 miles from each other.
the speeds of the trains differ by 8 miles per hour.
the trains will meet in 7 hours.
what is the speed of the faster train?

Ответ:

mariah9695

25.10.2022

Mathematics

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Problem 9.

Using the Angle Addition Postulate,

m<QRS + m<SRT = m<QRT

Now we replace the measures of the three angles above with the value or expressions we are given, and we solve for x.

2x + 8 + 3x + 14 = 82

5x + 22 = 82

5x = 60

x = 12

m<QRS = 2x + 8 = 2(12) + 8 = 24 + 8 = 32

32 degrees

Problem 10.

Using the Angle Addition Postulate,

m<ABC + m<CBD = m<ABD

Now we replace the measures of the two angles above with the values we are given, and solve for the unknown angle.

115 + m<CBD = 180

m<CBD = 180 - 115

m<CBD = 65

m<CBD = 65 degrees

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