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3 years ago

Help! Based on the given information, what can you conclude and why?

Mathematics

1 answer:

DochEvi [55]3 years ago

6 0

Answer: $\triangle HIJ \cong \triangle LKJ$

Step-by-step explanation:

Given: ∠H ≅∠L and line HJ congruent to Line JL.

Since, In triangles HIJ and LKJ,

∠H ≅ ∠L

HJ ≅ JL

And, ∠HJI ≅ ∠ LJK

Therefore, By ASA postulate,

Δ HIJ ≅ Δ LKJ

This is why Option first is correct.

Note: Option third ΔHIJ≅ΔJKL is not correct,

Because, HI≠JK

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GuDViN [60]

Answer:

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Step-by-step explanation:

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4 years ago

The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.

nalin [4]

Answer:

Part 1) The area is $A=4,069.44\ in^{2}$

Part 2) The circumference is $C=226.08\ in$

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

$A=\pi r^{2}$

we have

$r=72/2=36\ in$ ------> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(36)^{2}$

$A=4,069.44\ in^{2}$

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

$C=\pi D$

we have

$D=72\ in$

$\pi =3.14$

substitute

$C=(3.14)(72)$

$C=226.08\ in$

5 0

3 years ago

A rocket was launched and its height, h, in metres, above the ground after time,

Marianna [84]

Short answer b 7m

Very simple just do the math mostly multiplying

6 0

3 years ago

What is the solution set of the equation?<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-18%2B9x%3Dx" id="TexFormula1"

bagirrra123 [75]

9514 1404 393

Answer:

x ∈ {2.07014981016}

Step-by-step explanation:

The equation can be rewritten as ...

√x = 18-8x

x = 324 -288x +64x²

64x² -289x +324 = 0

x = (289 ±√577)/128 ≈ {2.07015, 2.44548}

Since √x must be positive, we know that ...

18 -8x ≥ 0

x ≤ 18/8 = 2.25

The larger of the above solutions is extraneous, so the solution set is ...

x ∈ {(289 -√577)/128} ≈ {2.07015}

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Rasek [7]

Answer:

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Step-by-step explanation:

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