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ArbitrLikvidat [17]
3 years ago
9

For ΔABC, ∠A = 2x - 2, ∠B = 2x + 2, and ∠C = 5x. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C' with ∠A

' = 58 - x, ∠B' = 3x - 18, and ∠C' = 120 - x, which confirms that ΔABC∼ΔA'B'C by the AA criterion?
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

<em>the answer is D.</em>

Step-by-step explanation:

Bad White [126]3 years ago
4 0
The correct answer for the question that is being presented above is this one: "C) ∠B = ∠B' = 33° and ∠C = ∠C' = 80° ."
A triangle has a total of 180 degrees.In order to get x:180 = 4x + 7 + 2x + 3 + 6x -10180 = 12x - 0 x = 15
∠A = 4x + 7 = 67∠B = 2x + 3 = 33∠C = 6x - 10 = 80
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The area of the yellow region is 112 cm^2. find the value of x​
mrs_skeptik [129]
<h3>Answer:   x = 7</h3>

===========================================================

Explanation:

The largest rectangle (composed of the green and yellow sections combined) has area of 11*12 = 132 cm^2.

The yellow region takes up 112 of those 132 sq cm. This must mean the green region takes up 132-112 = 20 cm^2.

The horizontal portion of the green rectangle is 12-x cm. The vertical portion is 11-x cm. We can form the area of the green rectangle as an algebraic expression like so

area = length*width

area = (11-x)*(12-x)

area = 132 - 11x - 12x + x^2 .... apply the FOIL rule

area = x^2 - 23x + 132

Set this equal to the 20 cm^2 we found earlier.

x^2 - 23x + 132 = 20

x^2 - 23x + 132-20 = 0

x^2 - 23x + 112 = 0

We could factor or we could use the quadratic formula. I'll go with the second option.

We'll plug in a = 1, b =  -23, c = 112

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-23)\pm\sqrt{(-23)^2-4(1)(112)}}{2(1)}\\\\x = \frac{23\pm\sqrt{81}}{2}\\\\x = \frac{23\pm9}{2}\\\\x = \frac{23+9}{2}\ \text{ or } \ x = \frac{23-9}{2}\\\\x = \frac{32}{2}\ \text{ or } \ x = \frac{14}{2}\\\\x = 16\ \text{ or } \ x = 7\\\\

One of these solutions isn't feasible. Note how if x = 16, then this exceeds both the 11 cm and 12 cm sides. So this x value is not possible.

However, x = 7 is possible.

If x = 7, then the horizontal portion of the green rectangle is 12-x = 12-7 = 5 cm. Also, the vertical portion of the green rectangle would be 11-x = 11-7 = 4 cm. The area then is length*width = 5*4 = 20 cm^2 which matches up with what we got earlier. So the answer is confirmed.

7 0
3 years ago
This week at HEB, pork chops cost $1.60 per pound. Steve bought 2 1/4 pounds of pork chops. If he paid with a $10 bill, how much
kompoz [17]

Answer:

He received $6.40 in change.

Explanation:

Since he bought 2.25 pounds, you multiply that by 1.6 to get a sum of 3.6. Since he paid with a ten dollar bill, and he only has to pay 3.60, they will give him back 6.40 in change.

Hope this helped :)

6 0
3 years ago
Can someone please help me?????!!!!
Snowcat [4.5K]
<span>What changes might help "Happiness is a charming Charlie Brown at orlando rep" to take on the general purpose of "You're a good man, Charlie Brown?</span><span>
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7 0
3 years ago
What term describes the set of all possible input values for a function
nexus9112 [7]

Answer:

The Domain.

Step-by-step explanation:

That is the Domain.  For example the domain of the function √x is the set

{x : x ≥ 0}.

8 0
3 years ago
PART 3 OF ME ASKING FOR HELP
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Answer:

c

Step-by-step explanation:

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