Yep, this one seems sneaky and confusing. But it's not so bad if you remember the things you learned about parallel lines. (It can't be too tough ... I learned them
in 1954 and I still know how to use them.)
Look at the picture. Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.
Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.
Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal. So . . .
(angle-A + angle-B) = 120
angle-B = 65
angle-A = 120 - 65 = <u>55 degrees</u>.
Complete question :
A construction crew built 1/2 miles of road in 1/8 days. What is the unit rate in miles per day? Write your answer in simplest form.
Answer:
3 miles per day
Step-by-step explanation:
Given that:
1/2 miles of road takes 1/8 days
Unit Rate in miles per day :
Miles of road built / number of days taken
1/2 miles ÷ 1/8 days
1/2 * 8/1
= (1*8) / (2*1)
= 8/2
= 4
Unit Rate = 4 miles per day
Answer:
x=-3.5 or -7/2 (same thing)
y=21/5
Step-by-step explanation:
x intercept is when y=0
y intercept is when x=0
so
x intercept is
-6x=21
x=21/-6
x=-3.5
y intercept is
5y=21
y=21/5
the formula is a_{1}+(n-1) d
so a_{1} would be the first number in the sequence, which would be 13 in problem 9.
13+(n-1)d
then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)
13+(10-1)d
then you find the difference between each number, represented by d which in this case is 3
13+(10-1)3
13+(9)3
13+27=
40
<u>p</u><u>=</u><u>7</u><u>0</u><u>°</u>
<u>q</u><u>=</u><u>3</u><u>2</u><u>°</u>
<u>r</u><u>=</u><u>3</u><u>8</u><u>°</u>
Answer:
Solution given:
r=38°[inscribed angle on a same arc are equal]
p=½*140°=70°[inscribed angle is half of the central angle]
<OBA=38°[base angle of isosceles triangle]
again
<C=<B[inscribed angle is half of the central angle]
70°=<OBA+q
70°=38°+q
q=70°-38°
q=32°
