9514 1404 393
Answer:
(b) angle FOA
(c) angle EOA
(d) angle AOH
Step-by-step explanation:
(b) The rays of vertical angles are opposites that form intersecting lines.
The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.
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(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.
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(d) Similarly, the supplement to angle BOH is angle AOH.
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<em>Comment on supplementary angles</em>
Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.
Answer:
The answer is<u> D.</u> h+3/j+6.
Step-by-step explanation:
Given:
The equation h + 3 = jk + 6k.
Now, to get the mathematical expression.
So, taking 
common on R.H.S we get:
Then, dividing both sides by 
we get:
Thus,
Therefore, the answer is D. h+3/j+6.
Answer:
0.292
Step-by-step explanation:
Combinations can be used to solve the following problem.
We are choosing 5 widgets from 25 = ²⁵C₅
We want to select zero widgets from defective widgets = ⁵C₀
From the 20 non-defective widgets we want to select 5 = ²⁰C₅
So the probability is:
P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅
P = (1 * 15504) / 53130
= 15504/ 53130
=0.292 ..
Answer: 2000/25 = 80 tiles
Step-by-step explanation:
Date: s=20
equation of surface area of a cube prism: surface area = 6s*2
the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2
subtitute values: surface area = 5(20)*2
= 5(400)
surface area = 2000
area of 2 tile is 5*2 = 25 square inches
2000/25 = 80 tiles
Mass=Density*Volume
Density=1.1 g/cc
Volume of a cylinder: <span>π*r^2*h
</span>Radius of the top of the can: 3.57
Volume of this can: 480.47
480.47*1.1=528.517
If I'm correct the mass of this can should be 528.517
