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3 years ago

Triangles ABC and ADC are shown below. Paul claims that triangles ABC and ADC are congruent.

Mathematics

2 answers:

guapka [62]3 years ago

4 0

Answer:

1 no

2 yes

3 no

4 yes

5 no

(((()))))

lisabon 2012 [21]3 years ago

4 0

Answer: Rotation, Reflection, ASA

Step-by-step explanation: They are congruent by these theorems and methods.

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Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 - 12x - 9 =

marissa [1.9K]

Hence, the correct answer is: C) (x - 6)^2 = 45

Further explanation:

Given equation is:

$x^2-12x-9=0$

We will move the constant term on other side of the equation

$x^2-12x=9$

To complete the square, we will take the coefficient of x and divide it by 2, as we already know that one term is x.

$\frac{12}{2}=6$

So, adding (6)^2 on both sides

$(x)^2-2.x.6+(6)^2=9+(6)^2\\(x-6)^2=9+36\\(x-6)^2=45$

Hence, the correct answer is: C) (x - 6)^2 = 45

Keywords: Quadratic Equation, Solution of equation

Learn more about quadratic equation at:

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7 0

3 years ago

State the range of the relation {(1, -1), (2, 3), (3, 5), (4, 8)}.

DiKsa [7]

The range would be -1 to 8

8 0

3 years ago

Damon borrowed money from his grandmother 3 years ago and agreed to pay her 4% simple annual interest. At the end of 3 years, he

sergeinik [125]

Answer:

200

Step-by-step explanation:

200×4%=8

8×3=24

The original amount is $200

6 0

3 years ago

Read 2 more answers

The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

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4 0

3 years ago

What is the value of A, B, and C?

Varvara68 [4.7K]

Answer: a's value is (6,8) B is (-3,7), and C is (-7,-2)

4 0

3 years ago