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3 years ago

Can someone please help me with this geometry proof? It needs to get done ASAP and I'm really struggling.

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

One way to prove that the triangles are congruent is to show that the three pairs of sides have the same length.

For side $BD$ , this is easy, since it is shared by the two triangles, so it is obviously equal.

On the other hand, we know that the given figure is a parallelogram, the opposite sides are equal in length. Particularly, it means that:

$AB = CD \quad\textrm{and}\quad BC = AD.$

Thus, we have shown that each pair of sides have the same length, which means that:

$\triangle ABD \equiv \triangle CDB.$

You might be interested in

Write an equation of the line below.

Dafna11 [192]

Answer:

$\large\boxed{y=4x+3}$

Step-by-step explanation:

The slope-intercept form of an equation of aline:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfraxc{y_2-y_1}{x_2-x_1}$

From the graph we have the points:

(-2, -5)

y-intercept (0, 3) → b = 3

Calculate the slope:

$m=\dfrac{3-(-5)}{0-(-2)}=\dfrac{8}{2}=4$

Put the value of the slope and the y-intercept to the equation of a line:

$y=4x+3$

3 0

4 years ago

Find xy if x + y=3, x^2 + y^2 = 5

Vesna [10]

Answer:

mark me

Step-by-step explanation:

x+y=3

x=3-y

putting the value of x

in this

x²+y²=5

(3-y) ²+y²=5

9-6y+y²+y²=5

2y²-6y+9-5=0

2y²-6y+4=0

2y²-4y-2y+4=0

2y(y-2)-2(y-2)=0

(2y-2) (y-2) =0

2y-2=0 or y-2=0

y=1 or y=2

so x=2 or 1

so x×y=2×1 or 1×2=2

I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

8 0

3 years ago

X^2 -9X = 0. Factor and use the Zero property to solve

Veseljchak [2.6K]

The first step of factoring is to try to factor out a common factor.
The terms x^2 and -9x have the factor x in common.
Factor out x from both terms.

x^2 - 9x = 0

x(x - 9) = 0

Now you have a product of fully factored terms equaling zero, so you can apply the zero product property to solve.

x = 0 or x - 9 = 0

x = 0 or x = 9

Answer: x = 0 or x = 9

5 0

3 years ago

How can you solve an equation with a variable on ni tu sides?

Vesnalui [34]

Answer:

Subtract from both sides of the equation the term you don't want

Step-by-step explanation:

In solving equations, you generally want to "undo" operations that are done to the variable. Addition is "undone" by adding the opposite (that is, subtracting the amount that was added). Multiplication is "undone" by division.

If you have variables on both sides of the equation, pick one of the variable terms and subtract it from both sides of the equation.

Example

2x = x +1

If we choose to subtract x, then we will have a variable term on the left and a constant term on the right:

2x -x = x -x +1 . . . . . . . x is subtracted from both sides

x = 1 . . . . . . simplify

Note that we purposely set up this example so that removing the variable term from the right side caused the variable term and constant term to be on opposite sides of the equal sign. It may not always be that way. As long as you remember that an unwanted term can be removed by subtracting it (from both sides of the equation), you can deal with constant terms and variable terms no matter where they appear.

_____

Additional Comment

It usually works well to choose the variable term with the smallest (or most negative) coefficient. That way, when you subtract it, you will be left with a variable term that has a positive coefficient.

3 0

4 years ago

Help please I'm not the smartest lol

olga55 [171]

Answer:

Acute angle

Step-by-step explanation:

6 0

3 years ago