Answer: 130
In order to solve for <4, you need to know that supplementary angles add up to 180°.
<3 = 50
180 - 50
130
**For future questions**
1. The sum of the interior angles of a triangle is 180°
2. Alternate interior angles are congruent
3. The exterior angle of a triangle is the sum of the nonadjacent interior angles
See attachment below.
The standard equation for the circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle and r is the radius.
We are given that the center is (5,1) and r=10 so
(x-5)^2+(y-1)^2=100
We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.
This means that we need to find the time he spends in sleeping when he is in the school.
Therefore, we have to add the time he spends in sleeping and the time he spends in school.
Therefore, required fraction is given by
Now in order to add the fractions, we have to make the denominator same.
Multiply the numerator and denominator of first fraction by 8 to make the same denominator.
Now, we have the same denominator hence, we can add the numerator
Therefore, Tim spends 15/24 hours each weekday sleeping in the school.
Answer:
The longer piece: 54m
The shorter piece: 19m
Step-by-step explanation:
Make an equation from what is said.
One of the pieces is 'x'
The other piece is 2x+16
x + (2x + 16) = 73m
solve for x
x = 19
plug it in
2*19 + 16
you get 54
so 54 is the longer piece
and 19 is the shorter piece (x was the shorter piece)
Hope this helped :)
