All categories

3 years ago

true or false? the circumcenter of a triangle is the center of the only circle that can be inscribed about it

Mathematics

1 answer:

MissTica3 years ago

6 0

Answer:

TRUE

Step-by-step explanation:

The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

You might be interested in

On a coordinate plane, points (2, 4), (4, 8), and (5, 10) are plotted.

mario62 [17]

Step-by-step explanation:

(2, 4), (4, 8) and (5, 10) are on the line y = 2x.

Hence they line on a straight line,

The line passes through the origin, and

it shows a proportional relationship.

4 0

3 years ago

Read 2 more answers

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.

Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = $\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})$

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }$

Diagonal 1 (AC) = $\sqrt{(4-0)^2+(-1+1)^2}$ = 4 units

Diagonal 2(BD) = $\sqrt{(2-2)^2+(3+5)^2}$ = 8 units

Now area of the rhombus ABCD = $\frac{1}{2}(\text{AC})(\text{BD})$

= $\frac{1}{2}\times 4\times 8$

= 16 units²

Therefore, area of the given rhombus is 16 units².

5 0

3 years ago

A graph has a constant of proportionality of 2.54. Let y represent centimeters and x represent inches. What is the unit rate of

Helga [31]

Answer: 2.54 is the rate of the given equation.

Step-by-step explanation:

Let x is the independent variable and y is the dependent variable.

Since, By the definition of proportionality,

y = k x

Where k is the constant of proportionality.

And, Here k = 2.54

Thus, the equation of line is,

y = 2.54 x

since, rate of the equation is the slope of the line.

And, the general equation of line

y = m x +c

Where, m is the slope of the line.

By comparing the equation of line y = 2.54 x with this.

The slope of the line = 2.54

Therefore, 2.54 is the rate of the given equation.

3 0

3 years ago

The CIA estimates the world population is growing at a rate of 1.167?% each year. The world population for 2007 was about 6.6 bi

JulijaS [17]

Answer:11.23 billion message me if you need explanation

4 0

3 years ago

If the length of a rectangle is increased by 120 %, and its width is decreased by 20%,

Dima020 [189]

Let length of rectangle=x and width be y
.`. area=x*y
now new length=x+12x/10=22x/10
width=y-y/5=4y/5
now .....
new area=new length-new width=22x/10*4y/5
new area=88xy/50

7 0

3 years ago

Read 2 more answers