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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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B) 8xy +4y² factorise

m_a_m_a [10]

Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

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1 year ago

Which of the following rational functions is graphed below?

AlekseyPX

Answer:

The rational function that is graphed is B

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3 years ago

Read 2 more answers

A cannon ball shoots out from a cannon that is 28 inches long at 2700 ft s. What is the

Reika [66]

Answer:

a = 1565217.39 ft / s ^ 2

t = 0.001725 seconds

Step-by-step explanation:

The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:

28 in * (1 ft / 12 in) = 2.33 ft

Now yes, we can continue, we have the following data:

vi = 0

vf = 2700 ft / s

the equations in this case are as follows:

vf = vi + a * t

vf = a * t

rearranging for a

a = vf / t (1)

now with the position equation we know that:

x = vi * t + (a * t ^ 2) / 2

x = (a * t ^ 2) / 2 (2)

now replacing (1) in (2), we are left with:

x = (vf / t) * (t ^ 2) / 2

knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.

2.33 = 2700 * t / 2

t = 2.33 * 2/2700 = 0.001725 seconds.

and now replace in (1)

a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2

3 0

3 years ago

How do you find the area of this composite figure?

Yanka [14]

Split the shape into smaller shapes, (see attachment)
find the area of the split shapes. So first find the area of the triangles
A = 1/2bh
A = 1/2*2*3
A = 1/2*6
A = 3
so that is the area of one triangle. the area of the other is
A = 1/2*4*3
A = 1/2 * 12
A = 6
now find the area of the rectangle
A = l*w
A = 9*3
A = 27
add them all together
27 + 6+ 3 = 36
the area of the total figure is 36

5 0

3 years ago

The total bill for dinner, including tax, was $65.81. In Indiana there is a 7% sales tax. What was the price of the meal before

Ratling [72]

Answer:

$56.41

Step-by-step explanation:

You have to divide the total bill by the sales tax and the multiply that number by 100. Then subtract that number from the total bill and that's how you get your answer.

4 0

3 years ago