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4 years ago

How can you show that a triangle has three congruent sides?

1 answer:

7 0

There are 4 rules for congruent triangles:

SSS-->This means side,side,side and to prove triangles are congruent with this rule, all the sides will be the same on both triangles.
SAS-->This means side,angle,side and to prove triangles are congruent, you must have 2 sides and an angle the same on both triangles, but the angle MUST be in between the 2 sides.
ASA-->This means angle, side, angle and to prove triangles are congruent with this rule, you must have two angles and a side the same, but the side MUST be in between the two angles.
RHS-->This means right angle, hypotenuse, side and to prove triangles are congruent with this rule, you must have a right angle in both triangles, and have an equal hypotenuse and side.

Hope this helps:)

You might be interested in

Solve equation by completing the square round to the nearest hundredth if necessary X2-4x-=5

kipiarov [429]

Answer:

x=-1 and x=5

Step-by-step explanation:

we have

$x^{2} -4x=5$

Solve it by completing the square method

We take the coefficient of x that is -4, divide it by 2 and then square it

$-\frac{4}{2}=-2$

square it

$(-2)^2 = 4$

Adds 4 both sides

$x^{2} -4x+4=5+4$

Combine like terms right side

$x^{2} -4x+4=9$

Rewrite as perfect squares

$(x-2)^{2}=9$

take square root both sides

$x-2=\pm3$

$x=2\pm3$

therefore

$x=2+3=5$

$x=2-3=-1$

6 0

3 years ago

Why should people be knowledgeable about equations and inequalities?

BartSMP [9]

Answer:

People should be knowledgeable about equations and inequalities because they are often used to solve day to day life problems.

Often times real life problems are modeled using equations and inequalities

Step-by-step explanation:

Inequalities are used often in real life, businesses use inequalities to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials. Inequalities are used in engineering and production quality assurance.

An equation is the mathematical representation of those two things which are equal, one on each side of an 'equals' sign. Equations are useful to solve our daily life problem.

4 0

3 years ago

Find an equation of the line with an x intercept of -2 and a slope of 3

aksik [14]

Answer:

y= 3x -6

Step-by-step explanation:

The equation if a line can be written in the form of y= mx +c, where m is the slope and c is the y- intercept.

Given that the slope is 3, m= 3.

Substitute m= 3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates into the equation.

Given that it has an x- intercept of -2, the line passes through the point (-2, 0). This is because x- intercept is the point at which the line passes through the x- axis, and this occurs at y= 0.

When x= -2, y= 0,

0= 3(-2) -c

0= -6 -c (expand)

c= -6 (+c on both sides)

Thus, the equation of the line is y= 3x -6.

7 0

3 years ago

Factor completely, then place the factors in the proper location on the grid. x^2n + 10x^n + 16

postnew [5]

Answer:

$(x^n + 2)(x^n + 8)$

Step-by-step explanation:

The polynomial $x^{2n}+10x^n + 16$ can be factored exactly the same as the polynomial $x^2 + 10x + 16$ . Here it factors into two numbers which multiply to 16 but add to 8. These factors are 8 and 2. So it factors into the expression (x+8)(x+2).

For the polynomial $x^{2n}+10x^n + 16$ it factors into the same factors except x ^n is used instead. The factors are $(x^n + 2)(x^n + 8)$

7 0

3 years ago

A(1) = -13 a(n-1) + 4 find the 2nd term in the sequence

kirill115 [55]

Solution

The sequence is an Arithmetic sequence.

Here the 1st term = -13

An = A(n-1) + 4

Therefore, the common difference (d) = 4

2nd term = first term + common difference

2nd term = -13 + 4 = -9

The answer is -9.

5 0

3 years ago