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4 years ago

Which construction is being shown in the diagram?

Mathematics

1 answer:

11Alexandr11 [23.1K]4 years ago

6 0

Answer:

Correct answer is option D) Construct the bisector of an angle.

Step-by-step explanation:

Angle bisector of an angle is a line that divides the angle in two equal parts.

A Line BD is called the angle bisector of $\angle ABC$ if

$\angle ABD = \angle CBD$

Please refer to image attached.

As per the question image, if the line PW is joined it will be the angle bisector of $\angle QPR$ .

Steps of construction of angle bisector:

1. Draw the angle QPR.

2. Open compass and make an arc that will cut the two lines on points Q and R respectively as shown in question figure.

3. With the same compass opening, put the compass on Q and make an arc in the area between $\angle QPR$ .

4. Draw an arc keeping the compass on R to cut the previous arc on point W.

Line joining the points P and W is the angle bisector of $\angle QPR$ .

So, Correct answer is option D) Construct the bisector of an angle.

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I need help with my math

Zinaida [17]

Answer:

Slope: 2

a: 5

b: 6

y-coordinate when x = 0: -2

Step-by-step explanation:

To find the slope, you need to divide the change in the y values between two points on a line by their change in x values. The two complete points given are (6, 10) and (2, 2), so doing this for them would be...

(10-2)/(6-2) = 8/4 = 2, so your slope is 2

To find a, you must use this slope by counting from one of the points. For every one you go to the right, you go up two. So, how many times do you need to go up 2 (slope), from 2 (starting point's y coordinate), to get to 8 (target point's y coordinate)? (8-2)/2 = 6/2 = 3, so 3 times. Add that to 2 (starting point's x coordinate) to get 5, so a is 5.

To find b, you can just use (6, 8). You know you're going to the LEFT one, so you must go DOWN 2. Subtract 2 from 8 to get 6.

For the last question, do the same with (2, 2). You're going LEFT 2, so you're going DOWN 4. Subtract 4 from 2 to get -2.

Let me know if you need a more in-depth explanation on any part of this!

8 0

3 years ago

Help i need your math skill It’s hard

jekas [21]

Answer:

1/128th

Step-by-step explanation:

I am not completely sure. Sorry!

Good Luck!

Hope this helps!

6 0

3 years ago

Read 2 more answers

Use the survey results to find the probability that a respondent has a pet, given that the respondent has had a pet.

Elena-2011 [213]

Answer:

Probability that the respondent has a pet given that the respondent has had a pet is $\frac{37}{81}$ or 0.46.

Step-by-step explanation:

We are given the following results below;

37% have a pet now and have had a pet.

63% do not have a pet now.

81% have had a pet.

19% do not have a pet now and have never had a pet.

Let event B = respondent has a pet now

Now, Probability that the respondent has had a pet = P(A) = 0.81

Probability that the respondent has a pet now and has had a pet = $P(A \bigcap B)$ = 0.37

So, Probability that the respondent has a pet given that the respondent has had a pet is given by = P(B/A)

This conditional probability is solved as ;

P(B/A) = $\frac{P(A \bigcap B)}{P(A)}$

= $\frac{0.37}{0.81}$ = 0.46.

3 0

4 years ago

Given the parent function of f(x) = x^(4, what change will occurr when the function is changed to f((1)/(2) x))

jarptica [38.1K]

Answer:

The graph of the function f( (1/2)x ) will expand across x-axis

Step-by-step explanation:

We have been given the function:

f(x) = x⁴

If we substitute x = (1/2)x into the given equation, we get:

f((1/2)x) = ( (1/2)x )⁴

We can simplify the equation

f((1/2)x) = = (1/2)⁴ x⁴

f((1/2)x) = = (1/16) x⁴

Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴

5 0

3 years ago

An underwater robot takes a picture at an elevation of -8 5/12m relative to sea level. What is the robot’s elevation expressed s

lana66690 [7]

The value of the expression to the nearest tans is -8.4

<h3>What is rounding a number?</h3>

Adjusting a number's digits so that it produces an approximation of a result is known as rounding

The given expression is -8 (5/12).

Rewrite the expression:

-8 (5/12)

= - 101/12

= - 8.4

Hence, the value of the expression to the nearest tans is -8.4

Learn more about rounding a number:

brainly.com/question/28562556

#SPJ1

6 0

2 years ago