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1 year ago

(02.03)Name the congruent triangles and justify the reason for congruence.

Mathematics

1 answer:

Gala2k [10]1 year ago

7 0

As shown:

Angle C = Angle f = 127

The length of fe = the length of CA = 2 units

Angle E = Angle A = 40

So, triangle ABC = triangle EDF by ASA

The answer is option 2

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Need help ASAP.<br> 50×50+60-105=?

Mandarinka [93]

Answer:

2,455

Step-by-step explanation:

Use PEMDAS to solve

First multiply 50x50, which is 2,500

50 x 50 + 60 - 105 becomes

2,500 + 60 - 105

Now to the addition or subtraction from left to right

2,560 - 105

2,455

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Sergeu [11.5K]

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scZoUnD [109]

Answer:

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Step-by-step explanation:

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A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t

konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

$B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8$

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

$L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4$

The new height (H+x) is

$H'=H+x=6+4=10$

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

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2 years ago