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Answer:
108, 108, 72
Step-by-step explanation:
Vertical angles are congruent and if the measure of 1 of the angles is 72 degrees and straight lines equal 180 degrees you have to subtract 72 from 180 which equals 108.
Katie is 6; Cathy is 18!
X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.
2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x
Answer:
Bert has $45.
Step-by-step explanation:
I have no real strategy, except for that I used guess and check. How did I do this? Well, since I am in 5th Grade, I don't know algebra very well, so I made an organized chart and checked all the numbers that had to be a multiple and could be divided equally by 5, 3 and when a third of that number was subtracted by 6, it was a fifth of the orginal number. Thats how I got 45.
Checking this answer:
It is always important to check your answer after finishing the problem, so this is how I checked my answer:
1. 45 divided by 3 = 15
2. 15 - 6 = 9, and 9 is 1/5 of 45
Bert has $45.
We know the measure of one of the angles.Angle b which is 90.
Now we have to find the other two angles.
First we will find angle a.
There are 180 degrees in a straight line.
Sooo...
180-130=50
Angle a will be 50.
There are also 180 degrees in a triangle.
To find the last angle we do this
180-50-71=59
Your answer and the measure of angle c will be 59 or option 3.