Answer:
∠CBJ ≅ ∠ DHG
∠ FJH ≅ ∠ AJB
m∠JAB=75°
m∠JBC=130°
Step-by-step explanation:
Please refer to the image uploaded with this answer.
Here we are given two parallel line C and D and two transverses to them E and G , there by forming a number of angles. Before answering them we must under stand the characteristics of the angles formed by them and the various properties of them. For that please refer to the image attached,
i) we are asked to find the congruent angle to ∠CBJ has a corresponding angle names as ∠ DHG. And corresponding angles are same so ∠CBJ ≅ ∠ DHG
ii) Also ∠ FJH ≅ ∠ AJB , as they are vertically opposite angles and vertically opposite angles are equal.
iii) m∠EFD =75°
m∠EFD ≅ m∠JAB=75° ( corresponding angles )
iv) m∠GHF=130°
m∠GHF=m∠JBC=130° ( corresponding angles )
This is one of those problems where you'll sink like a rock if
you allow yourself to be blinded by all the useless, unnecessary,
irrelevant information in the first paragraph.
The ONLY information you need is:
-- You're chartering a bus for 1 day.
-- It costs $780 .
That's ALL .
(You don't even need to know that the bus has 55 seats.
You might need that for #8 - #12, but not for #6 or #7.)
_________________________
If the people on the trip are going to share the cost of the bus,
then the cost of each share depends on the number of people.
Less people ==> each one pays more.
More people ==> each one pays less.
Just like everybody in the office sharing the cost of
a birthday gift for the boss.
#6 and #7 should really be done in the reverse order ...
do #7 before you worry about #6.
Before you can fill in the table in #6, you absolutely need
to have the equation, whether or not you realize it.
The total cost is fixed . . . It's $780 .
If 2 people go on the trip, each one pays 780 / 2 .
If 3 people go on the trip, each one pays 780 / 3 .
If 4 people go on the trip, each one pays 780 / 4 .
If 5 people go on the trip, each one pays 780 / 5 .
.
.
If 10 people go on the trip, each one pays 780 / 10 .
.
.
If 20 people go on the trip, each one pays 780 / 20 .
.
.
If ' n ' people go on the trip, each one pays 780 / n .
.
. until the bus is full ...
.
If 55 people go on the trip, each one pays 780 / 55 .
.
If 56 people go on the trip, then you need another bus,
and it gets more complicated.
But up to 55, the price per person is (780 / the number of people).
<span> #7). P = 780 / n .
</span>Now, filling in the table in #6 is a piece 'o cake.<span>
</span>5 people. . . . . . . 780 / 5
10 people . . . . . 780 / 10
15 people . . . . . 780 / 15
20 people . . . . . 780 / 20
.
.
etc.
Just don't go past 55 people. The equation changes after that.
For ANY number of people, even hundreds, and ANY number
of buses, I think the equation looks something like this:
P = (785/n) · [ 1 + int(n/56) ] .
' int ' means ' the greatest integer in ... ', that is,
' throw away the fractional part of the quotient,
and use only the whole number '.
Answer:
The answer is 500
Step-by-step explanation:
When you round to the hundred, you look at the 10s place. If the 10s place is 5,6,7,8, or 9, you round the hundred up. In this case, it is 459 so you would round up to 500. Have a nice day!!!
Area of a circle = pi x r^2
Area of circle = 150,000/ 1578 = 95.06 square miles
95.06 = 3.14 x r ^2
Divide both sides by 3.14
R^2 = 30.27
Find the square root:
R = sqrt(30.27)
R = 5.5
The radius is c) 5.5 miles
