1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetach [21]
3 years ago
14

Use the following information to find PD and EQ.

Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer:

PD = 18

EQ = 4

Step-by-step explanation:

Given:

AP = 3,

PQ = 5,

QB = 7,

CP = 2,

QD = 14

Required:

1. PD

2. EQ

SOLUTION:

1. Based on Intersecting Chords Theorem,

AP*PB = CP*PD

AP = 3

PB = PQ + QB = 5 + 7 = 12

CP = 2

PD = ?

Plug in the values into the equation

3*12 = 2*PD

36 = 2*PD

Divide both sides by 2

\frac{36}{2} = PD

18 = PD

PD = 18

b. Based on Intersecting Chords Theorem,

EQ*QD = AQ*QB

EQ = ?

QD = 14

AQ = AP + PQ = 3 + 5 = 8

QB = 7

Plug in the values into the equation

EQ*14 = 8*7

EQ*14 = 56

Divide both sides by 14

EQ = \frac{56}{14}

EQ = 4

You might be interested in
HDTV screens usually have a width-to-heigh ratio of 16:9. Which screen dimensions are in the same proportion?
Lana71 [14]

Answer:

4: 3

Step-by-step explanation:

In this case, we have that there is a relationship between width and height, which is 16: 9, which means that any screen that has the same ratio would be an identical screen.

How would we do this? it must either be raised to a power or rationalized on both sides of the ratio.

If we raise to a power, it would give very large dimensions for an HDTV, therefore, it is best to remove the square root on both sides, since it has more common values for a TV.

\sqrt{16} :\sqrt{9}

4: 3

Therefore, a 4: 3 screen is a good choice for an HDTV with the same ratio.

5 0
3 years ago
What is the base of the triangle when the area is 120ft and the height is 8ft
pochemuha

The base is 30.

Hopefully I got this correct, not 100%

7 0
3 years ago
Read 2 more answers
your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your who
Elodia [21]

Answer:

4 hours

Step-by-step explanation:

In  6  hours,  J  paints  1  room

So, in  1  hour,  J  paints  1/6 th of the room

Using similar logic, in  1  hour,  T  paints  1/12 th of the room.

Working together in one hour, they paint  (1/6+1/12) th =1/4  of the room.

1/4  of the room is painted in  1  hour

So,  1  room is painted in  1 1/4=4  hours

5 0
2 years ago
Read 2 more answers
Will somebody help me understand this better?
Dima020 [189]
I think what ur sopposed to do is multiply all the numbers+ find out what number the letters are then multiply that with the other numbers, if that makes sence
7 0
3 years ago
What is 4(x+9) simplified
dmitriy555 [2]

Answer: 4x+36

Step-by-step explanation:

1- 4 times x=4x

2- 4 times 9=36

3- so it is 4x+36

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line represented by the points in the table?
    10·2 answers
  • Given 1.2x^2−2.4=0. Find the roots of the equation.
    12·1 answer
  • If x is a whole number and 437 = (21 + x)(21 - x), then x =
    8·1 answer
  • in class, matthew stated "i think that a negative is like an opposite. That is why multiplying a negative times a negative equal
    13·2 answers
  • How do i find the circumcenter of a triangle with an undefined slope
    12·1 answer
  • Mr. Kershner is a school nurse. He uses, on average, 24 self-adhesive bandages during each spring month: March, April, and May.
    9·1 answer
  • Problem 2: Convert the following to a unit rate,<br> Mary drove 324 miles in 6 hours.
    5·1 answer
  • (20 POINTS)which equation best matches the model of the sum of the fraction​
    13·1 answer
  • Noah painted 3/20 of a fence in 1/2 a day how many days will it take him to paint the entire fence
    5·2 answers
  • WILL MARK BRAINLIEST IF CORRECT! ANSWER A, AND B, I GOT 5 MINS
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!