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gtnhenbr [62]
3 years ago
8

How do you prove vertical angles are congruent?

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0
A diagram lime this would prove, as shown above the opposite angles are equal.

Artemon [7]3 years ago
5 0

Answer:

(<2 and <4 are vert angles)     reason:given

(lines m and n intersect at p)   reason: def of vertical angles

(<2 and <3 are a linear pair)      reason: def of a linear pair

(<2 and <3 are a linear pair)      reason: def of a linear pair

(m<2+m<3=180)                          reason:angle addition postulate

(m<3+m<4=180)                          reason:angle addition postulate

(m<2+m<3=m<3+m<4                  reason:substitution property

(m<2 = m<4)                                 reason:subtraction property

<2 ~<4                                            reason:definition of ~ angles

Step-by-step explanation:

edgenuity 2020

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
The gross pay of a worker in a factory is €30800.60 per annum. If €504 is deducted from his salary month,how much does he take h
barxatty [35]

The amount of money worker will take home is €24752.6

<h3>What is gross pay?</h3>

Gross pay is the amount earned by any individual without any deductions of the taxes, and charges. It is the total amount of money earned by anyone.

Given that:-

  • The gross pay of a worker in a factory is €30800.60 per annum. If €504 is deducted from his salary month.

The amount of money he will take home will be calculated as:-

Gross pay = €30800.60

Deductions = €504 per month = 504 x 12 = €6048 per year.

So net pay = 30800.6 - 6048 =  €24752.6

Therefore the amount of money the worker will take home is €24752.6

To know more about gross pay follow

brainly.com/question/4356180

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5 0
2 years ago
X-intercept=2; containing the point (-5,4), using either the general form or the slope-intercept form of the equation of a line.
Rus_ich [418]
The line contains point (2, 0) and (-5, 4).
y - 0 = (4 - 0)/(-5 - 2) (x - 2)
y = -4/7 (x - 2)
7y = -4(x - 2)
7y = -4x + 8
4x + 7y = 8
8 0
4 years ago
Flying to Kampala with a tailwind a plane averaged 158km per hr ... The the return trip the plane only averaged 112 km per . . w
AURORKA [14]
W=wind
p + w=158...p=158-w
p-w=112...p=112+w
SO 158-w=112+w
46=2w
23=w
SO in conclusion you have the correct answer of wind being 23km/h while the plane is going 135 km/h

HOPE THIS HELPS!
6 0
3 years ago
In the past month, Josh rented one video game and six DVDs. The rental price for the video game who is $2.50. The rental price f
dolphi86 [110]

Answer:

total amount paid = $ 22.9

Step-by-step explanation:

total price = $ 2.5 + $3.4(6)= $22.9

5 0
3 years ago
Read 2 more answers
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