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
Yuri [45]
3 years ago
15

CD is the perpendicular bisector of AE. If AC=4x and BC=6x-10, whats is the calue of x?

Mathematics
2 answers:
serg [7]3 years ago
8 0

Answer:

5

Step-by-step explanation:

alekssr [168]3 years ago
4 0
You use the Pitagora formula:

CD^2+BD^2= (6x-10)^2
CD^2+AD^2=16x^2

AD^2-BD^2=16x^2-(36x^2-120x+100)
0=-20x^2+120x-100
x^2-6x+5=0
x^2-x-5x+5=0
x(x-1)-5(x-1)=0
(x-1)(x-5)=0
x1=1 but if x=1 it means that BC=-4 which cannot be possible
x2=5 so x=5

The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
You might be interested in
Sydney took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.75 per mile. The total fare was $
Sati [7]

The equation is x = 20.85 / 1.75 where x is the number of miles and the number of miles is 11.91 miles.

Given,

Sydney took a taxi from her house to the airport.

The taxi company charged a pick-up fee of $1.75 per mile.

The total fare was $20.85, not including the tip.

We need to write and solve an equation that can be used to determine the number of miles in the taxi ride.

We have,

Taxi fare per mile = $1.75

Total fare = $20.85

Find the number of miles in a total fare of $20.85.

$1.75 = 1 mile

Multiplying by 20.85 on both sides.

20.85 x $1.75 = 20.85 x 1 mile

Dividing by 1.75 on both sides.

(20.85 x $1.75) / 1.75  = (20.85 x 1 mile) / 1.75

$20.85 = 11.91 mile

We see that  11.91 miles will cost $20.85.

Write an equation to show this situation.

x = 20.85 / 1.75

Where x is the number of miles.

we get,

x = 20.85 / 1.75 = 11.91

Thus the equation is x = 20.85 / 1.75 and the number of miles is 11.91 miles.

Learn more about solving an equation to find the number of miles with a rate given per mile here:

brainly.com/question/22582035

#SPJ1

4 0
2 years ago
What is The sum of the cost of dinner d and a $12 tip divided equally between 3 people?
TEA [102]
So, if you're trying to ask what 12 divided by 3 is, then the answer is four. (Using inverse operation), because 4x3=12. But, make sure you put the label! The answer is $4.
8 0
3 years ago
14. Compare the graph below to the function
Dahasolnce [82]

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = \sqrt{x}

When translated by 3 units left,

f(x + 3) = \sqrt{(x+3)}

g(x) = \sqrt{(x+3)}

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = k\sqrt{(x+3)}

Since a point (1, 4) passes lies on the transformed function.

g'(1) = k\sqrt{(1+3)}

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.

5 0
3 years ago
8.
lukranit [14]

Answer:

4

Step-by-step explanation:

The y-coordinate of the point where both lines intersect will give us the same solution for x.

At y = 4, both equations will have a corresponding x-value of 1.

Therefore, the value of y that that will make both equations have the same solution of x is 4.

7 0
3 years ago
Work out the coordinates of the midpoint of MN.<br><br>M (-5, 3) N(7, -8)​
Angelina_Jolie [31]

Answer:

5,3 joules

I think bye bye

5 0
2 years ago
Read 2 more answers
Other questions:
  • ΔXYZ was reflected to form ΔLMN. Which statements are true regarding the diagram? Check all that apply.
    7·2 answers
  • The last time David filled up his truck with gas, he paid $27.44 for 7 gallons. This time, he needs 15 gallons. If the price is
    10·1 answer
  • Solve for x. km/3-2x=4
    7·1 answer
  • A triangle has one angle that measures 29 degrees, one angle that measures 116 degrees, and one angle that measures 35 degrees.
    13·1 answer
  • Is 4 acres for 800 plants a rate it unit rate?
    7·2 answers
  • Helppp plzzzzzzzzzzzzzz
    15·2 answers
  • Which statement is false? A. A number is even if and only if it is divisible by 2. B. 3x=15 if and only if x=5. C. Two points ar
    10·1 answer
  • Does every integer have a successor?
    5·2 answers
  • Find the missing information​
    10·1 answer
  • -18-16-14- 12-10-8-6Identify the inequality graphed on the number line.A)X-9&lt;3B)x+9&lt;3x-9 &lt;-3D)x +9&lt;-3
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!