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MakcuM [25]
3 years ago
9

How do I find the measure of these two supplementary angles using algebra?

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

Answer:

70 and 110

Step-by-step explanation:

The two angles add to 180 degrees since they form a straight line

2x+10 +3x+20 =180

5x+30 = 180

Subtract 30 from each side

5x+30-30 =180-30

5x = 150

Divide by 5

5x/5 =180/5

x = 30

The left angle is 2x+10 = 2*30+10 = 60+10 =70

The right angle is 3x+20 = 3*30 +20 = 90+20 = 110

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Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
Stels [109]

Answer:

C) P(E)  = \frac{3}{6}<u></u>

The probability that Mae will roll an odd number

<u></u>P(E)  = \frac{3}{6}<u></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that Mae has a number cube with 6 sides that are numbered 1 through 6.</em>

<em>n(S) = { 1,2,3,4,5,6,} = 6</em>

<em>Let 'E ' be the event of odd numbers</em>

<em>Mae will roll an odd number</em>

<em>n(E) = {1, 3, 5} = 3</em>

<u>Step(ii):-</u>

<u>The probability that Mae will roll an odd number</u>

<u></u>P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}<u></u>

<u></u>P(E)  = \frac{3}{6}<u></u>

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3 years ago
What is each of the expression written using each base only once? 10^10 x 10^10
aleksklad [387]
The answer is 10 thousand
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3 years ago
A motorboat can go 16 miles downstream on a river in 20 minutes. It takes 30 minutes for this boat to go back upstream the same
Katyanochek1 [597]

Answer:

A) d = 48t, d in miles, t in hours

B)d = 32t, d in miles, t in hours

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Step-by-step explanation:

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16 miles in 30 mins = 32 mph

The boat speed is the average = (48 + 32)/2 = 40 mph

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2 years ago
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