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Verdich [7]
3 years ago
12

A(n) ______ is the common side of two consecutive angles in a polygon.2.A statement you can probe and then use as a reason in la

ter proofs is a(n) ______3.A(n) ____ divides an angle into two congruent angles.4.A(n) ______ compares two numbers by division.5.A(n) ______ has at least one non-rectangular lateral face prism. 6.A name given to matching angles of congruent triangles is ________ 7.A(n) ____ is a quadrilateral with four congruent sides.8.The _____ is used to write the equations of a line with a given slope that passes through a given point. 9.A polygon is ______ if no diagonal contains points in the exterior. 10.An equation stating that two ratios are equal is called a(n) ________11.A statement you believe to be true based on inductive reasoning is called a(n) ___12.A(n) ______ is a line that intersects two coplanar lines at two points.13.The outcomes of ______ events affect each other. 14.____ are two angles whose measures have the sum of 𝟗𝟎°. 15.A(n) ______ is a case in which a conjecture is not true. 16.Angles on opposite sides of transversal and between the lines it intersects are ____.17.The common endpoint of two sides of a polygon is a(n) ______18.Each of the parallel sides of a trapezoid is called a(n) ____a.Angle Bisectorb.Base of a trapezoidc.Vertex of a polygond.Alternate Interior Anglese.Ratiof.
Mathematics
2 answers:
mixer [17]3 years ago
7 0

Answer:

1. Included side

2. Theorem

3. Midpoint

4. Ratio

5. Oblique prism

6. Corresponding triangle

7. Rhombus

8. Slope intercept form

9. Convex

10. Proportion

11. Conjecture

12. Transversal

13. Dependent event

14. Supplementary angles

15. Counterexample

16. Alternate interior angles

17. Vertex

18. Base

Step-by-step explanation:

1. An included side is the common side of two consecutive angles in a polygon.

2. A statement you can probe and then use as a reason in later proofs is a theorem.

3. A midpoint divides an angle into two congruent angles.

4. A ratio compares two numbers by division.

5. A oblique prism has at least one non-rectangular lateral face prism.

6. A name given to matching angles of congruent triangles is corresponding triangle.

7. A rhombus is a quadrilateral with four congruent sides.

8. The slope intercept form is used to write the equations of a line with a given slope that passes through a given point.

9. A polygon is convex if no diagonal contains points in the exterior.

10. An equation stating that two ratios are equal is called a proportion

11. A statement you believe to be true based on inductive reasoning is called a conjecture.

12. A transversal is a line that intersects two coplanar lines at two points.

13. The outcomes of dependent events affect each other.

14. Supplementary angles are two angles whose measures have the sum of 180°.

15. A counterexample is a case in which a conjecture is not true.

16. Angles on opposite sides of transversal and between the lines it intersects are alternate interior angles.

17. The common endpoint of two sides of a polygon is a vertex.

18. Each of the parallel sides of a trapezoid is called a base.

Nikolay [14]3 years ago
4 0
An ??????


Well to figure this out, we will use mathematics. You do 90% of the an and then do 39 which is close to 90 and then because it has 9 in the number that is given. So, 213 is incorrect. 90% of the things like 213, = 39. And if it equals 39, then here comes 90. 90 comes in as a number to help, but 213 does to. So we will divide the number 9. 9 = 2, and since 213 has the first digit 2 in the number, that means that the answer is An number that equals 2 is the common side of two consecutive angles in a polygon.


Just a answer!
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5 0
3 years ago
The coefficient of first term of a polynomial written in standard (descending order) form is called the ____ coefficient ?
Black_prince [1.1K]
We know that
<span>
1) The degree of a polynomial is the highest degree of its terms</span>
<span>2) The leading term in a polynomial is the highest degree term</span>
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The leading coefficient<span> </span>
8 0
3 years ago
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The diameter of a circle is 46 yards. What is the circle's circumference? d=46 yd Use 3.14 for n.​
kolbaska11 [484]

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144.44 yards

Step-by-step explanation:

The formula to find circumference is: C = π · d

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5 0
2 years ago
The product of a number and -3, increased by 8, is 20
natita [175]

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-4

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-3x+8= 20

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3 0
3 years ago
Which of the following is not one of the 8th roots of unity?
Anika [276]

Answer:

1+i

Step-by-step explanation:

To find the 8th roots of unity, you have to find the trigonometric form of unity.

1.  Since z=1=1+0\cdot i, then

Rez=1,\\ \\Im z=0

and

|z|=\sqrt{1^2+0^2}=1,\\ \\\\\cos\varphi =\dfrac{Rez}{|z|}=\dfrac{1}{1}=1,\\ \\\sin\varphi =\dfrac{Imz}{|z|}=\dfrac{0}{1}=0.

This gives you \varphi=0.

Thus,

z=1\cdot(\cos 0+i\sin 0).

2. The 8th roots can be calculated using following formula:

\sqrt[8]{z}=\{\sqrt[8]{|z|} (\cos\dfrac{\varphi+2\pi k}{8}+i\sin \dfrac{\varphi+2\pi k}{8}), k=0,\ 1,\dots,7\}.

Now

at k=0,  z_0=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 0}{8}+i\sin \dfrac{0+2\pi \cdot 0}{8})=1\cdot (1+0\cdot i)=1;

at k=1,  z_1=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 1}{8}+i\sin \dfrac{0+2\pi \cdot 1}{8})=1\cdot (\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2})=\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2};

at k=2,  z_2=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 2}{8}+i\sin \dfrac{0+2\pi \cdot 2}{8})=1\cdot (0+1\cdot i)=i;

at k=3,  z_3=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 3}{8}+i\sin \dfrac{0+2\pi \cdot 3}{8})=1\cdot (-\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2})=-\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2};

at k=4,  z_4=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 4}{8}+i\sin \dfrac{0+2\pi \cdot 4}{8})=1\cdot (-1+0\cdot i)=-1;

at k=5,  z_5=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 5}{8}+i\sin \dfrac{0+2\pi \cdot 5}{8})=1\cdot (-\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2})=-\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2};

at k=6,  z_6=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 6}{8}+i\sin \dfrac{0+2\pi \cdot 6}{8})=1\cdot (0-1\cdot i)=-i;

at k=7,  z_7=\sqrt[8]{1} (\cos\dfrac{0+2\pi \cdot 7}{8}+i\sin \dfrac{0+2\pi \cdot 7}{8})=1\cdot (\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2})=\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2};

The 8th roots are

\{1,\ \dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2},\ i, -\dfrac{\sqrt{2}}{2}+i\dfrac{\sqrt{2}}{2},\ -1, -\dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2},\ -i,\ \dfrac{\sqrt{2}}{2}-i\dfrac{\sqrt{2}}{2}\}.

Option C is icncorrect.

5 0
3 years ago
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