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tekilochka [14]

3 years ago

13

In order to circumscribe a circle on a triangle, which line must you construct?

1 answer:

GalinKa [24]3 years ago

5 0

We need to construct the perpendicular bisectors of at least two of the three sides.

The perpendicular bisector is the locus of points that ensures equal distance between any point on the line and the two ends of the segment.

The intersection of the two or three (congruent) perpendicular bisectors is the centre of the circumcircle.

You might be interested in

Solve both equations.

lakkis [162]

Equation 1:

Answer:

x = 1.22

Step-by-step explanation:

$\frac{5x-1}{8} -\frac{5-7x}{2} = \frac{3(6-x)}{6}$

$\frac{2(5x-1) - 8(5-7x)}{16} = \frac{3(6-x)}{6}$

$\frac{(10x-2) - (40-56x)}{16} = \frac{3(6-x)}{6}$

$\frac{(10x-2-40+56x)}{16} = \frac{3(6-x)}{6}$

$\frac{(66x-42)}{16} = \frac{3(6-x)}{6}$

$\frac{(66x-42)}{16} = \frac{(18-3x)}{6}$

$(66x-42) \times 6 = (18-3x) \times 16$

$(396x-252) = (288-48x)$

$(396x +48x) = (288+252)$

$444x = (540)$

$x = \frac{540}{444}$

x = 1.22

Equation 2:

Answer:

x = -13.97

Step-by-step explanation:

$\frac{x}{3} - \frac{7(x-2)}{9} = 4- \frac{2x-5}{6}$

$\frac{9x-3(7(x-2))}{27} = 4- \frac{2x-5}{6}$

$\frac{9x-3(7x-14))}{27} = 4- \frac{2x-5}{6}$

$\frac{9x-(21x-42))}{27} = 4- \frac{2x-5}{6}$

$\frac{9x-(21x-42)}{27} = \frac{24 - (2x-5)}{6}$

$\frac{-12x+42}{27} = \frac{-2x+29}{6}$

$(-12x+42) \times 6 = (-2x+29) \times 27$

$(-72x+252) = (-34x+783)$

$(252-783) = (-34x +72x)$

$(-531) = (38x)$

$x =\frac {-531}{38}$

x = -13.97

5 0

3 years ago

Give two ways to write n-5 in words

Mrrafil [7]

Five taken away from n
n subtracted by five

5 0

3 years ago

Read 2 more answers

Felix and Julyssa are computing 3 + 4 x 4. Feliz says the answer is 28. Julyssa says the answer is 19. Who is right? Explain.

Karolina [17]

Answer: Julyssa is right

Step-by-step explanation: According to PEMDAS, multiplication goes first (before) addition so

3 + (4x4)

3 + 16

= 19

PEMDAS

PARENTHESES

EXPONENTS

MULTIPLICATION

DIVISION

ADDITION

SUBTRACTION

4 0

2 years ago

Read 2 more answers

PLZZZZZZZZ NEED HELP!!!!!!

Karo-lina-s [1.5K]

Answer

$1125

Solution

4500x0.25=1125

4 0

3 years ago

Find the intercepts to graph the line.<br> 2x - y = -4

jolli1 [7]

Answer:

Step-by-step explanation:

2

x

−

y

=

4

Solve for

y

.

Tap for more steps...

y

=

−

4

+

2

x

Rewrite in slope-intercept form.

Tap for more steps...

y

=

2

x

−

4

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:

2

y-intercept:

−

4

4 0

3 years ago