how many triangles are formed by the diagonal from one vertex in quadrilateral, hexagon, octagon, and decagon??!

Answers

Answer 1

Answer: Quadrilateral: two (you can only trace one diagonal and it forms two triangles)

Hexagon: four (you can trace thre diagonals and four triangles are formed)

Octagon: six (you can trace five diagonals and six triangles are formed)

Degagon: eight (you can trace seven diagonals and eight triangles are formed)

It is always true that the number of triangles you can form from a vertex in a convex polygon is the number of sides minus 2.

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1.What is the cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron? a.triangle
b.square
c.rectangle
d.pentagon
5. What is the cross section formed by a plane that intersects three faces of a cube?
a.triangle
b.square
c.rectangle
d.pentagon

Answers

1. Answer;

- Triangle

Explanation;

The cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron is a Triangle.

A tetrahedron also a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

2. Answers

- Triangle

Explanation;

The cross section formed by a plane that intersects three faces of a cube is a Triangle. A cross section is the shape we get when cutting straight through an object. The shape of the cross-section of a solid depends upon the orientation of the cutting plane to the solid.

1. The cross section formed by a plane that contains a vertical line of symmetry for a tetrahedron is:
A ) triangle.
2. The cross section formed by a plane that intersects three faces of a cube is:
A ) triangle.

If the ratio of the altitude of triangle A to the altitude of triangle B is 3:1, then the ratio of the area of triangle A to the area of triangle isA 1:1
B It cannot be determined from the information given.
C 6:1
D 9:1

Answers

Answer: D) 9:1

Step-by-step explanation:

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding altitudes (heights).

If the ratio of the altitude of triangle A to the altitude of triangle B is 3:1, then the ratio of the areas of triangle A to triangle B will be (3^2):(1^2), which simplifies to 9:1.

So, the correct answer is:

D) 9:1

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous solution.

Answers

Answer: x= 4 is an extraneous solution.

Step-by-step explanation:

Since we have given that

$3(√(x+5))=-9$

We need to find the extraneous solution.

So, our equation becomes,

$√(x+5)=(-9)/(3)\n\n√(x+5)=-3\n\n\text{On squaring both sides}\n\nx+55=(-3)^2\n\nx+5=9\n\nx=9-5\n\nx=4$

Now, we will check that x = 4 is an extraneous solution.

$3√(4+5)\neq -9\n\n3√(9)\neq -9\n\n3* 3\neq -9\n\n9\neq -9$

Hence, x= 4 is an extraneous solution.

The solution is $x=4$ .

Scores on a test are normally distributed with a mean of 77.4and a standard deviation of 5. Find the value of P75 (the 75th
percentile)

Answers

Hence, in answering the stated question, we may say that As a result, the expressions value of P75 is 80.375.

what is expression ?

In mathematics, you can multiply, divide, add, or subtract. An expression is formed as follows: Expression, number, and math operator Numbers, parameters, and functions make up a mathematical expression. It is possible to contrast phrases and expressions. Every mathematical statement that contains variables, numbers, and a mathematical action between them is referred to as an expression. For example, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the provided equation, all separated by the mathematical sign +.

To determine the value of P75, or the 75th percentile, we must first determine the score at which 75% of the scores fall.

z = (x - μ) / σ

where x is the score to be converted, the mean, and the standard deviation.

As a result, we can write:

0.75 = P(Z ≤ 0.675)

where Z is the mean of the standard normal variable and the standard deviation is 1.

Now we can rearrange the z-score calculation to find the score x:

x = μ + zσ

Using the values we have:

x = 77.4 + (0.675)(5) (5)

x = 80.375

As a result, the value of P75 is 80.375.