All categories

3 years ago

What is the value of x? round the answer to the nearest tenth. the diagram is not drawn to scale.

Mathematics

2 answers:

Zepler [3.9K]3 years ago

8 0

It would also be 60°
B

notka56 [123]3 years ago

3 0

Answer:

60°

Step-by-step explanation:

We are given that DC = AB

PD, PC, AP and PB are the radius of circle.

In ΔAPB and ΔCPD

AP=CP (Radius of circle)

PB=PD (radius of circle)

DC=AB(Given)

So, By SSS property of congruence

ΔAPB≅ ΔCPD

Now we are given that ∠DPC = 60°

∠BPA=x

So, ∠DPC=∠BPA (ΔAPB≅ ΔCPD)

∠DPC=∠BPA =x= 60°

Thus the value of x is 60°

Hence Option B is correct.

You might be interested in

56 points for whoever answers correctly !

vladimir2022 [97]

We need to use what we know about rectangles to get:

Total length = 2*W + 8ft
Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool <u>plus twice the width of the sidewalk</u> (we add it twice because is in both ends) then we have:

Total length = L + 2*4ft = 2*W + 8ft
Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

6 0

2 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 + 2x = 17

yawa3891 [41]

--------------------------------------------------------
Equation Given
--------------------------------------------------------
x² + 2x = 17

--------------------------------------------------------
Add the constant to make it perfect square
--------------------------------------------------------
x² + 2x + (2/2)² - ²(2/2)² = 17

--------------------------------------------------------
Evaluate the brackets
--------------------------------------------------------
x² + 2x + (1)² - ²(1)² = 17

--------------------------------------------------------
Form the perfect square
--------------------------------------------------------
(x + 1)² - 1 = 17

--------------------------------------------------------
Add 1 to both sides
--------------------------------------------------------
(x + 1)² = 17 + 1
(x + 1)² = 18

--------------------------------------------------------
Square root both sides
--------------------------------------------------------
√(x + 1)² = $\pm$ √18

--------------------------------------------------------
Solve for x
--------------------------------------------------------
x = 4.24 - 1 or - 4.24 -1

x = 3.24 or - 5.24 (nearest hundredth)

--------------------------------------------------------
Answer: x = x = 3.24 or - 5.24
--------------------------------------------------------

7 0

3 years ago

What's a real world problem involving a percent greater then 100%

AveGali [126]

Buying something that costs more than $1.00 can be an example.

8 0

3 years ago

What’s the reminder for 90 divide by 4

evablogger [386]

The answer is 22.5 so the reminder will be 1/2 or .5

5 0

3 years ago

Read 2 more answers

Tameka signs up for membership at a rock climbing gym. She pays a

SSSSS [86.1K]

Answer and Step-by-step explanation:

In the equation y = 25x + 100, the format of y = mx + b is being used. This is a very commonly used base for equations in math, especially when it comes to graphing.

In the equation, the m stands for the slope in the equation, and the b stands for the y intercept. Slope can also be found by taking the rise/run of a graph.

So, the slope of this line is 25, and the y-intercept 100.

I have also included the this equation on a graph as well.

I hope that this helps.

8 0

2 years ago