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Maksim231197 [3]

3 years ago

15

Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theore

m.

1 answer:

IRINA_888 [86]3 years ago

6 0

Answer:

The answer is that when you put the LMN. You can rotate it. Then we know it is similar.

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Hmmmmmmmmmmmmmmmmmmmmmmmmmmm

belka [17]

$\dfrac{6}{7}cd=\dfrac{6}{7}\cdot c\cdot d\\\\Factors:\ \dfrac{6}{7},\ c,\ d\\\\6x^2+7xy+3+9\\\\Constans\ (without\ x\ and\ y):\ 3,\ 9\\\\2x-4y+8=(2x)+(-4y)+(8)\\\\Terms:\ 2x,\ -4y,\ 8$

4 0

3 years ago

The cost of turkey is directly proportional to its weight. If a 12-pound turkey costs $27, how much does a 16-pound turkey cost?

Reptile [31]

Answer:

D

Step-by-step explanation:

27/12= 2.25

2.25*16=36

6 0

3 years ago

A Ferris wheel can accommodate 35 people in 25 minutes. How many people can ride that Ferris wheel in 4 hours? What is the rate

Alex Ar [27]

336
60*4=240
35/25=1.4
1.4*240=336

7 0

3 years ago

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex

melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0

3 years ago

The function f(x)=-(x-3)^2 +9 can be used to represent the area of a rectangle with the perimeter of 12 units, as a function of

Ivenika [448]

Maximum area of the rectangle is $9cm^{2}$

<u>Explanation:</u>

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Considering the dimensions to be in cm

$f(x) = -(x-3)^{2} +9\\f(x) = -(x^{2} +9 - 6x)+9\\f(x) = -x^{2} +6x\\f'(x) = -2x+6\\-2x+6 = 0\\2x=6\\x=3cm\\\\$

Putting the value of x = 3

$Perimeter = 2(x+b)\\12 = 2(3+b)\\6 = 3+b\\b= 3cm$

$Area of rectangle = x X b\\ = 3 X 3\\ = 9cm^{2}$

Therefore, maximum area of the rectangle is $9cm^{2}$

7 0

3 years ago