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3 years ago

Which postulate or theorem proves that these two triangles are

Mathematics

1 answer:

Len [333]3 years ago

4 0

Q AAS congruence theorem

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(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

8 0

3 years ago

Write a word phrase for and algebraic expression 3x+10

exis [7]

Three multiplied by a number plus ten.

8 0

3 years ago

How many solutions does the equation have?

Alex17521 [72]

Answer:

x = 1/2

Step-by-step explanation:

2x + 3 = 4x + 2

-2x -2x

3 = 2x + 2

-2 -2

1 = 2x

Divide both sides by 2x

x = 1/2

4 0

3 years ago

Read 2 more answers

Please help me with my math

Taya2010 [7]

3x + 22 is the equation that represents the perimeter of the triangle. 4x + 10 is the perimeter of the rectangle. Setting the two equal:

$3x + 22 = 4x + 10$

and collecting like terms:

$x=11$

We find that the perimeter of both shapes is equal to 11 units.

8 0

3 years ago

What is the slope of the line if the points are (-5,0) (5,-4)?

PtichkaEL [24]

Put your points in a graphing calculator and it will show you the answer

7 0

3 years ago