<u>We are Given:</u>
∠1 = 65°
<h3><u>
Finding the measure of all other angles with proof:</u></h3>
<u>∠2:</u>
∠1 + ∠2 = 180° <em>(angle 1 and 2 form a Linear Pair)</em>
65 + ∠2 = 180 <em>(Angle 1 = 65°)</em>
∠2 = 180 - 65
∠2 = 115°
<u>∠3:</u>
∠1 = ∠3 <em>(Angle 1 and 3 are vertically opposite)</em>
65 = ∠3 <em>(Angle 1 = 65°)</em>
<em>∠3 = 65°</em>
<em />
<u><em>∠4:</em></u>
∠4 = ∠2 <em>(Vertically opposite angles)</em>
∠4 = 115° <em>(∠2 = 115°)</em>
<u><em /></u>
<u>∠5:</u>
∠5 = ∠1 <em>(Corresponding angles)</em>
∠5 = 65° <em>(∠1 = 65°)</em>
<u><em /></u>
<u>∠6:</u>
∠6 = ∠2 <em>(Corresponding angles)</em>
∠6 = 115° <em>(∠2 = 115°)</em>
<em />
<u>∠7:</u>
∠7 = ∠3 <em>(Corresponding Angles)</em>
∠7 = 65° <em>(∠3 = 65°)</em>
<em />
<u>∠8:</u>
∠8 = ∠4 <em>(Corresponding angles)</em>
∠8 = 115° <em>(∠4 = 115°)</em>
Answer:
the slope of a line is the rise over run from plot to plot.
a. 3/5
b. 3/4
c. 2
Step-by-step explanation:
i hope this helps :)
Answer:
d = 6.324555
Step-by-step explanation:
d=√1−(−1))^2+(3−(−3))^2
d=√(2)^2+(6)^2
d=√4+36
d=√40
d=6.324555
D=Distance*
Answer:
The solution of the system of equations is the point (-3,0)
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Adds equation A and equation B

Find the value of y
The solution of the system of equations is the point (-3,0)
Answer:
A) 60 Degrees
B) 550 Feet
C) 2.5 minutes
Step-by-step explanation:
a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution
1 min = 60 secs
10 min = 600 secs
100/600 = 1/6
One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .
360/6 = 60°
b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference
= 550 Feet.
C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .
.
After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.