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
xeze [42]
3 years ago
6

If V is the circumcenter of triangle PQR, find the length of PV.

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

9514 1404 393

Answer:

  22.8

Step-by-step explanation:

The circumcenter is equidistant from all the vertices of the triangle: PV = RV. There are enough dimensions given to let us find RV from the Pythagorean theorem.

  RV² = RS² +SV²

  RV² = 11² +20² = 521

  RV = PV = √521 ≈ 22.8

You might be interested in
The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
Nana76 [90]

Answer:

<em>The numbers are 4 and 6</em>

<em />

Step-by-step explanation:

Let

x------>  be the first positive even integer

x+2---> be the second positive even integer

<em>we know that the solution is a positive value</em>

<em />

<u>The numbers are 4 and 6</u>

Hope this helps!

<em>stay safe</em>

3 0
3 years ago
What is the discount on a pair of shoes with a regular price of $48?
Korolek [52]
The discounts on a pair of shoes with a regular price of $48 is 24
8 0
2 years ago
A board is 29ft long. The second piece is 4 times longer than the first. The third piece is 3 times longer than the second. What
Nady [450]

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

⇒Length of third piece = 3(4x) = 12x ft

Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

⇒ 17x = 29

⇒ x = \frac{29}{17} = 1.7058823 ft

∴ we get

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

5 0
3 years ago
The measure of ZBC = 180°, and the length of AD and Date tool, which is the measure of ZACD?
Julli [10]

Answer:

B. 45°

Step-by-step explanation:

recall that Thales' theorem states that the diameter of a circle always subtends a right angle on any point on the circle.

what this means is that if ABC is the diameter of the circle, then AD and DC always meet at the circumference at 90°

in this case, if ∠ADC is 90° (by thales theorem), and AD = DC, then we have an isoceles triangle.

This also means that the base angles of the isoceles triangle, ∠DAC and ∠ACD must be equal.

recall that all interior angles of a triangle add up to 180°

180° = ∠ADC + ∠DAC +∠ACD

180° = ∠ADC + 2 ∠ACD

180° = 90° + 2 ∠ACD

2 ∠ACD = 90°

∠ACD = 45°

8 0
3 years ago
The first few steps in solving the quadratic equation 5x2 + 27x = 14 − 13x by completing the square are shown. 5x2 + 27x = 14 −
antiseptic1488 [7]
5(x^2+8x)=14
5(x^2+8x+16)=5(x^2+8x)+5*16=5(x^2+8x)+80=14+80=94
The corect answer is the second
8 0
3 years ago
Read 2 more answers
Other questions:
  • Use the data below to construct a steam and leaf display on your own paper, then describe the distribution's shape
    15·1 answer
  • Express the fractions 1/2, 3/16, and 7/8 with an LCD
    12·1 answer
  • How to find area of a shaded region
    5·2 answers
  • How do I find the area of an octagon which has 7m on each side and the height is 8.8m
    15·1 answer
  • Nolan invested $8,100 in an account paying an interest rate of 8 3/4% compounded quarterly. Carter invested $8,100 in an account
    9·2 answers
  • Heeeeeeeellllpppp wiilll ggiivvee bbrraaiinnlliieesstt
    12·2 answers
  • True or False. i think this is easy but
    12·1 answer
  • Jose's football weighs 7/8 of a pound. His football helmet weighs 4 1/6 of a pound. Estimate how much more the helmet weighs tha
    9·1 answer
  • I neeeeed help please ​
    12·1 answer
  • If the temperature is 11 degrees and overnight it drops by 20 degrees, what is the new temperature in the morning? Explain how y
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!