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3 years ago

6

Given ∠ABE = 45° and ∠EAB = 63° in ΔABE and∠MNP= 72° and ∠NMP = 63° in ΔMNP. Are the two triangles, ΔABE and ΔMPN similar? If so

, by what criterion?
A) yes, by AA criterion
B) yes, by SAS criterion
C) yes, by SSA criterion
D) no, not possible to tell.

2 answers:

Lisa [10]3 years ago

4 0

Yes, by AA criterion

Nikolay [14]3 years ago

3 0

Yes, by AA criterion

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7. Which two equations are equivalent?

sineoko [7]

Answer:

C. $y=(x-3)^2$ and $y=x^2-6x+9$

Step-by-step explanation:

before answering the problem let us remind the formula for square of sum and differences

$(a+b)^2=a^2+2 \times a \times b + b^2$

$(a-b)^2=a^2-2 \times a \times b + b^2$

We are going to use the above two formulas to solve each part and come to an answer

A. $y = (x + 3)^2$

$(x + 3)^2=x^2+2 \times x \times 3 + 3^2$

$(x + 3)^2=x^2+6x+9$

Hence this option is not correct pair

B. $y = (x-5)^2$

$(x - 5)^2=x^2-2 \times x \times 5 + 5^2$

$(x -5)^2=x^2-10x+25$

Hence this option is also not correct pair

C. $y = (x -3)^2$

$(x - 3)^2=x^2-2 \times x \times 3 + 3^2$

$(x -3)^2=x^2-6x+9$

Hence this option is correct as it have equivalent pair

D. $y = (x + 5)^2$

$(x + 5)^2=x^2+2 \times x \times 5 + 5^2$

$(x + 5)^2=x^2+10x+25$

Hence this option is also not correct pair

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Read the following picture and answer the question

Neko [114]

Answer:

The last one. For every 1 free throw they donate $0.50

Step-by-step explanation:

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4 years ago

Б) 3х2 – 10 = 152<br>how to solve with square root

Tju [1.3M]

Answer:

$3\sqrt{6}$ and $-3\sqrt{6}$

Step-by-step explanation:

We will take numbers to one side and variables to one side eliminate the "Square" with "Square Root" and solve for the variable x. The process is shown below:

$3x^2-10=152\\3x^2=152+10\\3x^2=162\\x^2=\frac{162}{3}\\x^2=54\\x=\sqrt{54}$

Now, we need to reduce the radical by using the rule shown below:

$\sqrt{x*y}=\sqrt{x} \sqrt{y}$

Now,

$\sqrt{54}=\sqrt{6*9} =\sqrt{6} \sqrt{9} =3\sqrt{6}$

The correct answer is $3\sqrt{6}$ and $-3\sqrt{6}$

<u>Note:</u> squaring positive and negative makes the same answer

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MaRussiya [10]

14,800=60x+16y
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14,800=60x+16*441-16x
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