Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
Answer:
124
Step-by-step explanation:
Caleb is participating in a walk-a-thon. His goal is to walk as far as possible over an 8-hour period.
For the first 3 hours, he keeps a steady pace of 2 miles per hour.
He then stops walking while he takes a 1-hour break for lunch.
It's too short. Write at least 20 characters to explain it well.
So we notice that they increase by 1
each time
first slot we have all of them so
4 choices=1st slot
3 choices=2nd slot (1 was taken for 1st slot)
2 choices
1 choice
multiply
4 times 3 times 2 times 1=24
answe ris 24 ways
Answer:
Area of semicircle = 1/2(πr^2)
Area of quarter circle = 1/4(πr^2)
Step-by-step explanation:
The question is incomplete. You didn't provide the diagrams for the semicircle and quarter circle to evaluate the areas. I would explain how to find the area of a semicircle and quarter circle.
Area of a circle = πr^2
where r = radius and π = 3.14
If diameter (d) is given: d = 2r
To get radius, divide diameter by 2.
r = d/2
A semicircle is half of a circle.
Area of a semicircle is half the area of a circle.
Area of a semicircle = 1/2(πr^2)
A quarter circle is a quarter of a circle.
Area of a quarter circle is quarter of the area of a circle.
Area of a quarter circle = 1/4(πr^2)
Further explanation with diagram has been added as as an attachment.
