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1 year ago

How can you show two figures are congruent?

Mathematics

1 answer:

galina1969 [7]1 year ago

4 0

If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

What in mathematics is the congruent?

It is claimed that two figures are "congruent" if they can be positioned exactly over one another.
Both the shape and size of the bread slices are same if you lay one slice on top of the other.
Congruent refers to having precisely the same form and size.

Use the Third Angles Theorem for two figures are congruent.

When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.

If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

Learn more about congruent

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Nara got two new plants for her apartment. Each plant grew at a constant rate.

stira [4]

Answer:

Which plant was taller when Nara got the plants? C. They were equally tall

Which plant grew faster? B. The second plant

Step-by-step explanation:

Slope of the first plant :

m = (y2 - y1)/(x2- x1)

m = (36 - 34)/(15 - 10) = 0.4

y-intercept of the first plant :

y = m*x + b

b = y1 - m*x1

b = 34 - 0.4*10 = 30

From the picture we can see that the y-intercept of the second plant is 30 cm

Y-intercept represents plant heights when Nara got the plants; then they were equally tall

From the picture we can see that second plant grew 2 cm in 2 days; then its slope is 2/2 = 1

Slope measures how fast each plant grew; then the second plant grew faster

7 0

3 years ago

Ryan earns $20.16 working 3 hours. How Much Does he earn per hour?

Reika [66]

C)$6.72
$20.16÷3=$6.72

5 0

3 years ago

Read 2 more answers

Solve for w<br> - 2w - 7 = 9

liberstina [14]

Step-by-step explanation:

-2w=9+7

-2w=16

w=16/-2

w=-8

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3 years ago

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Ron wants to buy a video game with a selling price of ?$36?, on sale for? 50% off. The sales tax in his state is 5.5 %. How much

cestrela7 [59]

Answer:

Yes, it costs $18.99.

Step-by-step explanation:

The game is originally $36 and a game 50% off is 36/2 = $18.

The sale price is $18.

The state charges 5.5% tax which means you pay 105.5% of the sale price.

1.055(18) = 18.99

The final total is 18.99 which means Ron's $19 is enough.

7 0

3 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

3 years ago