2. Which diagram shows a point P an equal distance from points A, B, and C?H
Answers
Answer:
The correct option is (a).
Step-by-step explanation:
The vertices are equidistant from the circumcenter.
Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.
In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.
Therefore option (a) is correct.
In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.
Therefore option (b) is incorrect.
In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.
Therefore option (c) is incorrect.
In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.
Therefore option (d) is incorrect.
Answer A
One have drawn the mediators of the triangle which is a line passing in the middle of a side and perpendicular to it.
The circle is called circonscribed to the triangle.
Related Questions
Subtract 5 from the sum of 8.2 and 0.072?
What number must be added to complete the square? X^2-20x=17
Bill makes leather shoes. He charges $45 for a pair of women's shoes and $50 for a pair of men's shoes. He sells x pairs of women’s shoes and y pairs of men’s shoes each week and earns a total income of $2,500. This situation can be represented by the equation . If Bill has no female customers during a particular week, he needs to sell pairs of men’s shoes to earn his weekly income of $2,500.
Five times the sum of a number eleven divided by three times the sum of the number eight
Answers
Answer:
4
Step-by-step explanation:
First you need to evaluate the power (exponent).
1 raised to any power is still 1.
Then you need to divide the equation
2 + 6 ÷ 3 ÷ 1
2 + 2
4
Answer:
Step-by-step explanation:
To solve this problem you should follow the PEMDAS rule, which is parentheses, exponents, multiplication, division, addition, and subtraction.
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
cot(θ) =
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The point (8, -15) shows it is in 4th quadrant.
side X is 8 and side Y is -15.
We can find side R with help of Pythagorean theorem.
Taking square root,
sinΘ=
cosΘ=
tanΘ=
cscΘ=
secΘ=
cotΘ=
Answer
Hope it will help :)
Answers
Answer:
The value of the proportionality constant (y to x) is: 3/10
Step-by-step explanation:
We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.
i.e. y = kx
and k = y/x
Given the points
- (100, 30)
- (300, 90)
- (500, 150)
We know that the proportionality constant (y to x) is:
k = y/x
For the point (100, 30)
k = 30/100=3/10
For the point (300, 90)
k = 90/300=3/10
For the point (500, 150)
k = 150/500=3/10
As the value of proportionality constant (y to x) is the same.
i.e. k = 3/10
Thus, the value of the proportionality constant (y to x) is: 3/10
Answers
-3x-24=0
+24 +24
-3x=24
x=-8
8x+3y=7
3x+5y= -9
Answers
8x + 3y = 7
3y = -8x + 7
y = -8/3x + 7/3
3x + 5y = -9
3x + 5(-8/3x + 7/3) = -9
3x - 40/3x + 35/3 = -9
9/3x - 40/3x + 35/3 = -27/3
-31/3x = -62/3
-31x = -62
x = 2
8(2) + 3y = 7
16 + 3y = 7
3y = -9
y = -3
Check
3(2) + 5(-3) = -9
6 - 15 = -9
-9 = -9 :)
Answers
No, the triangular numbers are not a direct variation. There is not a constant of variation between a number and its position in the sequence. The ratios of the numbers to their positions are not equal. Also, the points (1, 1), (2, 3), (3, 6), and so on, do not lie on a line.