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
Klio2033 [76]
3 years ago
11

DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 cm and BD=12 cm.

Mathematics
1 answer:
jonny [76]3 years ago
3 0
Given that <span>DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence A</span><span>G, BG, and CG are equal.

Given that </span><span>DG = 5 cm and BD = 12 cm, then

BG= \sqrt{DG^2+BD^2}  \\  \\ = \sqrt{5^2+12^2} = \sqrt{25+144}  \\  \\ = \sqrt{169} =13

Since AG = BG = CG, therefore, CG = 13 cm.</span>
You might be interested in
Plz find the volume of this figure i really need help​
DiKsa [7]

Answer:

to find volume you have to multiply l x w x h

Step-by-step explanation:

just put the l, w, and height in the comment section so i can give you the answer

3 0
3 years ago
Please help with theses two questions.
Goryan [66]
Yea i have no clue how she can be like a
4 0
3 years ago
Help pleaseeeeeeeeeeeeeeeeeeeeeee
bixtya [17]

Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

<u>Step-by-step explanation:</u>

(1)           (12, 18, 27, ...)

The common ratio is:

r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad  r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}

The equation is:

a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\  r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}

3 0
3 years ago
It took Mrs. Johnson 1/2 an hour to walk 2 1/2 miles. What is her speed in miles per hour?​
Arisa [49]

Answer:

I think its 5 mph

Step-by-step explanation:

3 0
3 years ago
Adam currently runs about 20 miles per week,aND he wants to increase his weekly mileage by 40% How many miles will Adam run per
Afina-wow [57]

28 miles

increasing by 40% = original + increase = 100 + 40 = 140% = 1.4

multiplying 20 by 1.4 gives total he will run

miles run = 1.4 × 20 = 28


3 0
3 years ago
Read 2 more answers
Other questions:
  • A straight road rises at an inclination of 0.3 radian from horizontal. Find the slope and change in elevation over a one mile se
    8·1 answer
  • An area of 4 square yards is equal to 36 square feet. Using this information, 10 square yards is equal to how many square feet?
    7·2 answers
  • Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)} What can be concluded of the
    14·2 answers
  • 1. use the graph of y = sin θ to find the value of sin θ for each value of θ. 270°please help
    9·1 answer
  • How do u do this? Help plz
    12·1 answer
  • Solve for x in the diagram below.
    8·2 answers
  • What is the value of the expression – 57 - (-13 +33)?
    8·1 answer
  • Average Weekly Earnings The average weeklyearnings in dollars for various industries are listedbelow. Find the percentile rank o
    13·1 answer
  • Please help me with number 4 thank you so much!
    11·1 answer
  • eldted. Go to volume of a cylinder C and volume of a cone e, and complete each step below.Question 1Drag the orange points on th
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!