Answer:
∠1 is 33°
∠2 is 57°
∠3 is 57°
∠4 is 33°
Step-by-step explanation:
First off, we already know that ∠2 is 57° because of alternate interior angles.
Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.
Then, you basically just do some other pain-in-the-butt things after.
Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.
Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.
57° + 90° = 147°
180° - 147° = 33°
∠1 is 33°
Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.
Answer:
The area of the circle is 314 inches
Step-by-step explanation:
Area if a circle = πr²
r = radius
r= d/2
r=20 /2
r=10 inches
Area =3.14×10²
= 3.14×100
=314 inches
Let the smaller angle be x.
smaller = x
larger = 3x
known angle = 65°
All angles add up t10 180:
x + 3x + 65 = 180
4x + 65 = 180
4x = 115
x = 28.75
Smaller angle = 28.75
Larger angle = 86.25
Answer: The angles are 28.75° and 86.25°
The steeply sloping region of a continental margin where the sea floor descends at a rate of greater than 1 ft for every 40 feet is called. continental slope.
The mode is the number that appears most often.
Looking at the chart, there are two 1's on the right side, so the mode would be 31