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.
The solution of the given equation is x = -5
So, the correct solution for x is x = -5.
Given is an equation 5x = -25, we need to solve for x.
We must place the variable x on one side of the equation in order to solve the equation 5x = -25 for x.
The objective is to identify the x value that solves the equation.
Here is how to calculate the equation step by step:
Start with the first step's equation, 5x = -25.
Step 2: We want to remove the 5th coefficient from x in order to isolate it. In order to accomplish it, we'll use the inverse operation, which involves multiplying both sides of the equation by 5:
(5x) / 5 = (-25) / 5.
Step 3: The right side becomes -5 while the left side becomes x.
x = -5.
Step 4: At this point, we know that x has the value -5.
Hence, the answer to the equation is x = -5.
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x2 + 2x
x2 + 2x + 3
x2 + 3x + 8
Answer: The correct option is (C)
Step-by-step explanation: We are given to find the quotient by dividing the following :
We will try to factorize the numerator ad then divide by the denominator to find the quotient.
We have
Thus, the required quotient is
Option (C) is correct.
Clydesdale is 17 1/5 hands tall then the height in inches is 68.8 inches and the height in feet is 5.73ft and this can be determined by using arithmetic operations and the unitary method.
Given :
The following steps can be used to determine the height in inches:
Step 1 - Clydesdale height in hands unit is:
Step 2 - Now, if one inch equals 1/4 hands then 86/5 is equal to:
Step 3 - Multiply 86/5 and 4/1.
Step 4 - Multiply 86 and 4.
Step 5- Further simplify the above expression.
Now, to convert inches in feet use:
1 inch = 0.08333 feet
So, if 1 inch is equal to 0.0833 feet then 68.8 inches is equal to:
= 5.73 ft.
For more information, refer to the link given below:
- square
- regular pentagon
- regular hexagon
- regular octagon
- regular nonagon
- regular dodecagon
The regular polygons could be used to make regular and semi-regular tessellations are equilateral triangle, square and regular hexagon. Therefore, the correct answers are A, B and D.
A regular tessellation is tessellation made up by using only one type of regular polygon. These are made up of completely congruent regular polygons all that connecting vertex to vertex.
Regular polygons have congruent straight sides. When we slide or rotate a regular polygon, the side of the original figure and the side of its translation will match.
Equilateral triangles, squares and regular hexagons are the only regular polygons that tessellate. Therefore, there are only three regular tessellations.
Therefore, the correct answers are A, B and D.
Learn more about the tessellations here:
brainly.com/question/12926513.
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Answer:
A. equilateral triangle
B. square
D. regular hexagon
E. regular octagon
G. regular dodecagon
Step-by-step explanation: