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
kodGreya [7K]
3 years ago
12

Line segments AB and CD are

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0

Answer:

x = 16 or -2

Step-by-step explanation:

If both lines are congruent, their magnitudes are equal.

To find the magnitude of a line, the equation to use is;

D = √(x2-x1)^2 + (y2-y1)^2

So for AB, we have

D = √(-2 + 11)^2 + (5 + 3)^2

D = √81 + 64 = √145

For the second line

The distance would be;

D = √x-7)^2 + (9-1)^2

D = √(x-7)^2 + 8^2

Equate both magnitude

√145 = √(x-7)^2 + 64)

Simply remove the square roots on both sides

145 = 64 + (x - 7)^2

145 -64 = (x -7)^2

81 = (x-7)^2

Thaw the square root of both sides

x - 7 = 9

or x -7 = -9

x = 9 + 7 or x = -9 + 7

x = 16 or -2

You might be interested in
PLEASE HELP AS SOON AS POSSIBLE! LOOK AT THE IMAGE BELOW
dsp73

Answer:

The answer is 50 squared.

Explanation:

This number is the only irrational number given.

8 0
3 years ago
P( rolling a number greater than 2 and the coin landing on heads or tails)
irina [24]

The value of P(rolling a number greater than 2 and the coin landing on heads or tails) is 4/6

<h3>How to determine the probability?</h3>

The given parameters are:

Objects = Dice and Coin

The sample space of the objects are:

Dice = {1, 2, 3, 4, 5, 6}

Coin = {Head, Tail}

From the above sample spaces, we have:

P(Rolling a number greater than 2) = 4/6

P(Coin landing on heads or tails)  = 1

The required probability is then calculated as:

P(rolling a number greater than 2 and the coin landing on heads or tails) = P(Rolling a number greater than 2) * P(Coin landing on heads or tails)

Substitute the known values in the above equation

P(rolling a number greater than 2 and the coin landing on heads or tails) = 4/6 * 1

Evaluate the product

P(rolling a number greater than 2 and the coin landing on heads or tails) = 4/6

Hence, the value of P(rolling a number greater than 2 and the coin landing on heads or tails) is 4/6

Read  more about probability at:

brainly.com/question/24756209

#SPJ1

3 0
2 years ago
C is the circumcenter of APQR.<br> PC=3x+7, RC=5x-15, &amp; QC=51-X<br> x=[?]
amm1812

Answer:

x = 11

Step-by-step explanation:

C is the circumcenter of \triangle PQR

\implies PC=QC=RC (Radii of same circle)

\implies RC=QC

\implies 5x-15=51-x

\implies 5x +x=51+15

\implies 6x =66

\implies \: x =  \frac{66}{6}  \\  \\  \implies \:  \huge \:  \red{x = 11}

8 0
2 years ago
a hardware store marks up the price of all tools it gets from the ware house by 18% and then puts them on sale for 20% off what
Sauron [17]
Ksisiszijssjsndbdn 882728338388 Irish
8 0
2 years ago
Please solve with explanation I’ve been asking all day (this is not a multiple choice question)
Anastaziya [24]

Answer:

a) SA = 522.9~cm^2

b) V_{cone} = 670.2~cm^3

c) V_{empty} = 1340.4~cm^3

Step-by-step explanation:

a)

For a cone,

SA = \pi r (L + r)

where L = slant height

L = \sqrt{r^2 + h^2}

We have r = 8 cm; h = 10 cm

L = \sqrt{(8~cm)^2 + (10~cm)^2}

L = \sqrt{164~cm^2}

SA = (\pi)(8~cm)(\sqrt{164~cm^2} + 8~cm)

SA = 522.9~cm^2

b)

V_{cone} = \dfrac{1}{3}\pi r^2 h

V_{cone} = \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)

V_{cone} = 670.2~cm^3

c)

V_{cylinder} = \pi r^2 h

empty space = volume of cylinder - volume of cone

V_{empty} = V_{cylinder} - V_{cone}

V_{empty} = \pi r^2 h - \dfrac{1}{3}\pi r^2 h

V_{empty} = (\pi)(8~cm)^2(10~cm) - \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)

V_{empty} = 1340.4~cm^3

3 0
3 years ago
Other questions:
  • A house has increased in value by 29% since it was purchased. If the current value is $516,000, what was the value when it was p
    5·2 answers
  • What is the inverse for y=-1/6x+17​
    15·1 answer
  • If 100 gram (g) of ice cream contains 20 gram fat how many gram of fat are there in 300 gram of ice cream?
    11·1 answer
  • Write 0.2 as a fraction in simplest form.<br> 0.2=0
    8·1 answer
  • Identify the graph of the equation. Then find 0 to the nearest degree.<br> 2x² + 4xy + 4y2 = 0
    8·1 answer
  • Can you guys help me out step by step easy and quick
    10·1 answer
  • This is brilliant!!!<br> I hope this helps yall get out of studying Lol
    10·2 answers
  • A town official claims that the average vehicle in their area sells for more than the 40th percentile of your data set. Using th
    12·1 answer
  • If the measure lf 2 is 83, what is the measure of 3?
    14·1 answer
  • What is the slope of the line that passes through the points (6, 2) and (4, 10)?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!