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2 years ago

GIven AB is Perpendicular Bisector of IK

2 answers:

4 0

Since AB is the bisector, it divides the segment IK into two equal parts.
This means that IB and BK are equal because B is the halfway point.

C is the answer.

Snowcat [4.5K]2 years ago

4 0

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the line AB is Perpendicular Bisector of IK. It means the line AB is perpendicular on IK and the point B divides the line IK in two equal parts.

If a line is bisector of another line, then the point of intersection divides the second line is two equal parts.

Therefore the distance between intersection point and the endpoints of second line are same.

The intersection point is B and the end points of IK are I and K. So, we can say that

$BI=BK$

Option 3 is correct.

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What is the length of the diagonal of a monitor that is 5 inches wide and 12 inches high

DerKrebs [107]

Answer:

so draw out a graph

Step-by-step explanation:

12-

11-

10-

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1 2 3 4 5

5 0

2 years ago

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The curved part of this figures is a semicircle.

vovangra [49]

First we join the two endpoints of the semicircle and that will be the diameter.

And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .

SO we get

$Diameter = \sqrt{ {-4-3)^2 +(-2-2)^2 } = \sqrt{49+16} = \sqrt 65$

Radius is half of diameter, so the radius is

$Radius= \frac{ \sqrt{65}}{2}$

Formula of area of circle is

$Area = \pi r^2$

So the area of semicircle is

$=(1/2) \pi ( \frac{ \sqrt{65}}{2})^2 = 8.125 \pi \square \units$

And the other figure is a triangle, with

$Base = 3-(-4)=3+4=7 \\ height = 2-(-2) = 2+2 =4$

$Area = (1/2)*4*7= 14 square units$

Therefore, total area is the sum of area of semicircle and area of triangle,

And we will get

$Total \ area= 14 + 8.125 \pi \ units^2$

Correct option is the third option .

3 0

3 years ago

Read 2 more answers

5 x 10^5 is how many times as large as 1 x 10^5?

Oxana [17]

Answer:

5 times as large

Step-by-step explanation:

You can think of "10^5" as "green marbles" if you like. Then your question is ...

5 green marbles is how many times as large as 1 green marble.

Hopefully, the answer is all too clear: it is 5 times as large.

_____

In math terms, when you want to know how many times as large y is as x, the answer is found by dividing y by x:

y/x . . . . . tells you how many times as large as x is y.

Here, that looks like ...

$\dfrac{5\times 10^5}{1\times 10^5}\\\\=\dfrac{5}{1} \qquad\text{the factors of $10^5$ cancel}\\\\=5$

4 0

2 years ago

Read 2 more answers

The sum of four consecutive even integers is 256. what are the numbers?

Naily [24]

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

7 0

2 years ago

Can some help me with my homework it’s number 5. 6. 7. 8. And 9.

BaLLatris [955]

Answers:

5. 296

6. 479

7. 801

8. 920

9. $281

Step-by-step explanation:

For 5-8, you add the 2 numbers. Line up the numbers by their place value.

For 9, it says she starts with $233. She worked for 6 hours today. She makes $8 for every hour. First, you have to find how much she made today. 6 hrs times $8 for every hr is $48. In total, she has $281 because we added the amount she starts with, and the amount she earned today.

4 0

3 years ago

Read 2 more answers