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Advocard [28]
4 years ago
9

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,1) E (7,1) and F(1,5). Show your work.

Mathematics
1 answer:
dimulka [17.4K]4 years ago
4 0
The centroid C divides the length of each median PY, ZQ, and XR into the ratio of 2:1 as shown in the diagram below

a) CY = 10
    PC = 2×10 = 20
    PY = 20+10 = 30

b) QC =10
    ZC = 10÷2 = 5
    ZQ = 10+5 = 15

c) PX = 20
    PQ = 2×20 = 40

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There are blue, red and green pencils in the box—20 pencils total. There are 6 times more green pencils than blue pencils. There
lana [24]

Answer:

You have to take 15 pens to get at least one red pencil.

Step-by-step explanation:

If there were one red and 6 green pens, there would be more red than green pens.

If there were 3 or more blue and thus 18 or more green pens, the number of pens would be over 20.

So there must be 2 blue, 12 green and thus 6 red pencils. So you have to take at least 15 pens to be sure that you got a red one.

5 0
3 years ago
What is a real world problem that can be solved by converting customary units of capacity
givi [52]
Pretend you have a recipe for pasta. It says you need 2 cups of water. But your measuring cup measures ounces. You need to convert 2 cups into ounces.
8 0
3 years ago
Find the value of each variable. Write an<br> equation then solve showing ALL the work<br> A2x+10°
AveGali [126]

Answer:

x = 25

Step-by-step explanation:

The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.

This is an equilateral triangle. So all 3 angles are equal.

We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:

180/3 = 60

The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

2x+10=60\\2x=60-10\\2x=50\\x=\frac{50}{2}\\x=25

The value of x is 25

4 0
3 years ago
What is the solution to the inequality below? w+4≤ -1
maxonik [38]

Answer:

w≤ -5

Step-by-step explanation:

hello :

w+4≤ -1

w+4-4≤ -1-7

w≤ -5

3 0
3 years ago
If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.
maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

\frac{3.5}{x} = \frac{14}{18}

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0
3 years ago
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