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Angelina_Jolie [31]
3 years ago
11

Consider the markings on the triangles. Which congruence theorem could be used to prove that the two triangles are congruent? Ex

plain your reasoning.
Mathematics
1 answer:
aleksley [76]3 years ago
4 0

The congruent means Exactly equal in size and shape. Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.

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How do you write one million, twelve thousand, sixty widgets in standard form
bekas [8.4K]
One million = 1000000
Twelve thousand = 12000
Sixty = 60

One million, twelve thousand and sixty = 1 012 060

Standard form is given by A × 10ⁿ
Where A is a number  in unit and 'n' is an integer

1 012 060 = 1.012060 × 10⁶

4 0
3 years ago
Trey has plastic cubes stored in a box that measures 4 ft long, 2 1/2 ft wide, and 2 ft tall. The edge length of each plastic cu
iVinArrow [24]
Your answer is 160 i had this on a test hope this helps
4 0
3 years ago
Read 2 more answers
Find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft
geniusboy [140]
DECA=10, decagon = 10 sides.

since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}ap~~
\begin{cases}
a=apothem\\
p=perimeter\\
------\\
a=2.8\\
p=18
\end{cases}\implies A=\cfrac{1}{2}(2.8)(18)
6 0
3 years ago
In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who fav
raketka [301]

c. 4.6

       

21 X .22= 4.6

       

Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

4 0
3 years ago
Y=4x-6 and passes through point 8,12
umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

y=mx+b\\y=-\frac{1}{4} x+14

8 0
3 years ago
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