Solve for x , y , right answers plss !!!!

What additional information would you need to prove that triangle ABC is congruent to triangle DEF by ASA

Lostsunrise [7]

Of two angles and the included side of one triangle are congruent to the corresponding to the corresponding parts of another triangle hen the triangles are congruent. I really don't think there is additional information to prove if the triangles are congruent by using ASA.

Hopes this helps

4 0

3 years ago

_________ are defined as lines that never have one point in common.

barxatty [35]

Answer:

The correct option is option number 4. Parallel lines are defined as lines that never have one point in common.

Step-by-step explanation:

Parallel lines: Parallel lines are the lines that will never cross each other. As they never meet, so they won't have a common point.

On the other hand, the other options are incorrect. This is because,

Perpendicular lines: Perpendicular lines are the lines that make 90 degrees angle with each other.

Skew lines: Skew lines are the lines that are not present on the same plane.

Coplanar lines: Any lines which are known to occur on the same plane are termed as coplanar lines.

4 0

3 years ago

The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 900 * 3^m

kipiarov [429]

Answer:

$900\times 3^m$ = 100

Step-by-step explanation:

The number of visitors is modeled by the expression $900\times 3^m$

Where m is the number of months after the number of visitors was measured.

We need to evaluate the above expression for m = -2.

So,

$900\times 3^m=900\times 3^{-2}\\\\=900\times \dfrac{1}{3^2}\\\\=900\times \dfrac{1}{9}\\\\=100$

At m = -2, the value of the above expression is equal to 100.

5 0

3 years ago

Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x

gladu [14]

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

$ax^2+bx+c=0$

Here, (<em>a,b,c</em>) are the real numbers and <em>x </em>is the variable.

To find the value of x, the following formula is used,

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

The given equation is,

$2(x+ 3)^2 - 4 = 0$

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

$2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0$

On comparing with standard equation we get,

$a=1, b=6, c=7$

Put this values in the above formula,

$x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59$

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

Learn more about the quadratic equation here;

brainly.com/question/1214333

5 0

2 years ago

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$