Answer:
7. x=3, 8. x=7, 9. x=15.
Step-by-step explanation:
7. If lines m and n are congruent, then angles DCF and CFE are congruent. 15x+3=18x-6. Solve for x. --> 15x+9=18x-->3x=9-->x=3
8.If line m is parallel to line n, then the corresponding angles are congruent. So, 20x+1=22x-13 Solve for x. 20x+14=22x-->14=2x-->x=7.
9. The supplementary angle of 110 is 70. Note that all of the inner angles of a triangle are equal to 180. Form an equation using the the values: (4x+8)+(2x+12)+70=180. Simplify; 6x+90=180. Solve for x: 6x+90=180-->6x=90-->x=15.
Hope this helps!
X + y = 4...x = 4 - y
2x + 3y = 0
2(4-y) + 3y = 0
8 - 2y + 3y = 0
-2y + 3y = 0 - 8
y = -8
x + y = 4
x - 8 = 4
x = 4 + 8
x = 12
solution is : (12,-8)
The probability of wearing blue shirts on both days is 3/28.
<h3>What is probability?</h3>
Probability is the measure of the likelihood of an occurrence.
Given:
8 shirts are available out of which 3 are blue, 1 is green and 2 are white.
P(blue on Monday) = 3/8
Now, 7 shirts are left to wear on Tuesday
P(blue on Tuesday) =2/7
So,
the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28
Learn more about probability here:
brainly.com/question/24756209
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Answer:
60 minutes
Step-by-step explanation:
We solve this question using Lowest Common Factor method
Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80
Multiples of 12:
12, 24, 36, 48, 60, 72, 84
Therefore,
LCM(10, 12) = 60
The number if minutes until they both drip again is 60 minutes
Do one hundred and twenty nine divided by three and you will get your answer
