Answer:
1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
Step-by-step explanation:
1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.
2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.
3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles
I am assuming from What I have found is that a is the base , b is angle between a and x and x is the hypotenuse .
So we know that
cos θ =base/hypotenuse
here θ = 3π/8 =67.5 degree
cos 67.5 =0.38268
so
0.38268=a/x
x=25/0.38268
x=65.32873
Answer: it should be 565.5
Step-by-step explanation:
Given :
Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.
To Find :
How many mugs did Jack make if he had 28.88 lbs of clay left over.
Solution :
Clay required to make 1 mug, r = 0.72 lbs.
Amount of clay left after making sculpture is, T = 28.88 lbs.
Now, number of clay mug Jack can make is :
Since, number of mug cannot be in decimal, so we take the floor value.
Therefore, number of mug that can be prepared is 40 .
Answer:
5 : 1
Step-by-step explanation:
From your second-grade memorization of multiplication tables, you recognize that 15 = 3×5, so you know 3 is a factor of both numbers in the ratio. To reduce the ratio to simplest form, you divide out all common factors:
15 : 3 = (15/3) : (3/3) = 5 : 1
