If 2 triangles are similar, which of the following conclusions can you make?

Answers

Answer 1

Answer: is there an image i can look at

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For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. Each of those lines is perpendicular to both sidelines. What can be said about the relationship of the sidelines? Justify your answer. a. The sidelines are perpendicular to each other by the definition of the Transitive Property.

b. The sidelines are parallel by the Same-Side Interior Angles Theorem.

c. The sidelines are perpendicular by the Perpendicular Transversal Theorem

d. The sidelines are parallel because they are perpendicular to the same line.

Answers

The true statement about the sidelines would be that they are parallel because they are both perpendicular to each of the boldly marked line.

If the sidelines are perpendicular, then the boldly marked lines, then the boldly marked lines cannot be perpendicular to both sidelines

The fact that all the boldly marked lines forms a perpendicular line with both sidelines, then it is a must that both sidelines are perpendicular.

Therefore, since the sidelines are perpendicular to the same set of lines, then the sidelines would be parallel.

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The sidelines are parallel to one another, because
they are perpendicular to the same line.

Which choice is equivalent to the quotient shown here when x > 0?√72x^3 divide by square root of 50x^2

Answers

Answer:

$(3√(2x))/(5)$

Step-by-step explanation:

Starting point:

$(√(72x^3))/(50x^2)\n$

1) Factor it by Prime Factor Method 72 and 50

$72|2\n 36|2\n 18|2\n 9|3\n3|3\n 1\n 72=2^2*3^2*2$

$50|2\n 25|5\n 5|5\n 1\n 50=2*5^2$

2) Plug it in the factored form. Every exponent to the second power will be outside the radical, so its roots.

$(√(72x^2*x))/(50x^2)=(6x√(2x))/(5x√(2))=(6√(x))/(5√(2))$

3) Rationalize it multiplying by the radical, so that you can eliminate the square root on the denominator.

$(6√(x))/(5√(2))*(√(2))/(√(2))=(6√(2x))/(10)=(3√(2x))/(5)$

Solve for x: 3 − (2x − 5) < −4(x + 2)

Answers

3 − (2x − 5) < −4(x + 2)
3-2x+5< -4x-8
-2x+4x< -8-3-5
2x< -16
x< -16/2
x< -8
x∈(-∞ -8)

Greg is designing the clock face for a homemade clock. Using the center of the clock face as the origin, he places the label 12 at the point (0, 5). At what point should he place the label 6?

Answers

(0, -5)

Graph these points so that the center of the clock is at (0, 0) and 12 is at (0, 5).

You know that, on a clock, 6 is directly below point 12 (0, 5). Therefore, we know that point 6 will have an x coordinate of 0.

Point 6 will also be the same distance from the center that point 12 is. Note that point 12 is 5 units from the center. Thus, point 6 will also be 5 units from the center.

There are two points that have an x coordinate of 0 and are 5 units from the center (0, 0). These are (0, 5) and (0, -5). Since the first of these is point 12, we know that (0, -5) must be point 6.

So the distance of a aircraft flies a proportional relationship whith its number of hours inflight. The table shows the number of miles flown for a number of hours in flight. Find the constant of proportionality. How long will the jet take to travel 5,880.

Answers

The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles

The time required is 12 hours

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance of the aircraft be = x

Let the total time taken by the aircraft be = y

Let the constant of proportionality be k

when x = 1 ,

y = 490

So , the equation will be y = kx

Substituting the values in the equation , we get

y = 490x

when x = 2

y = 490 ( 2 )

y = 980

Now , the time taken by aircraft to travel 5,880 miles is

Substitute the value of y as 5880 in the equation , we get

5880 = 490x

Divide by 490 on both sides of the equation , we get

x = 5880 / 490

x = 12

Therefore , the time taken is 12 hours

Hence , the constant of proportionality is 490

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Answer:

The constant of proportionality is 490

The jet will take 12 hours to travel 5,880 miles

Step-by-step explanation: The miles multiply by 490 each time.

490 x 12 is 5,880

Is 8/6 greater than or less than 11/12

Answers

$(8)/(6)\ \ \ \ and\ \ \ \ (11)/(12)\ \ \ \ \ | make\ a\ common\ denominator\ 12\n\n(16)/(12)\ \ \ and\ \ \ \ (11)/(12)\n\nNow\ it\ is\ visible\ that\ (16)/(12) \ >\ (11)/(12)\ so\ (8)/(6) \ >\ (11)/(12)\$

Greater because 8/6 is equal to a Whole number well more than a Whole number and 11/12 is less than aWhole number

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