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Westkost [7]
3 years ago
11

For ΔABC, ∠A = 4x - 10, ∠B = 5x + 10, and ∠C = 7x + 20. If ΔABC undergoes a dilation by a scale factor of 1 3 to create ΔA'B'C'

with ∠A' = 2x + 10, ∠B' = 8x - 20, and ∠C' = 10x - 10, which confirms that ΔABC∼ΔA'B'C by the AA criterion?
Mathematics
2 answers:
VLD [36.1K]3 years ago
5 0
We know that the angles of a triangle sum to 180°.  For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180

Combining like terms,
16x+20=180

Subtracting 20 from both sides:
16x=160

Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.

For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180

Combining like terms, 
20x-20=180

Adding 20 to both sides:
20x=200

Dividing both sides by 20:
x=10

This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.

Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
Kaylis [27]3 years ago
3 0

Answer:

the guy above me is CORRECT

Step-by-step explanation:

I took the test.

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ELEN [110]

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: \frac{y_2-y_1}{x_2-x_1} which is essentially \frac{rise}{run}. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: \frac{4- (-2)}{2- (-3)} = \frac{6}{5} that's the rate of change

8 0
2 years ago
CAN SOMEONE PLEASE HELP ME WITH MY HOMEWORK.
Anna71 [15]

Answer:

Check pdf

Step-by-step explanation:

Download pdf
7 0
2 years ago
rope price of length 45cm 25 cm and 81 cm have to be cut into same size pieces what is the smallest price length possible​
Sergeeva-Olga [200]

= 2025

When you are told to find the smallest length possible, you perform L.C.M(Least common multiples)

For this, you divide the given lengths using the numbers that divides all through.

I have added an image to this answer. Go through it for more explanation

5 0
2 years ago
26 inches is how many yards
AlekseyPX

1 yard = 36 inches

The fraction  (1 yard / 36 inches) has a numerator and denominator
that are equal.  So the fraction is equal to ' 1 ', and we can multiply
(26 inches) by it without changing any value.  That'll change the units
of the '26 inches' to 'yards', which is exactly what we need.

(26 inches) x (1 yard/36 inches) = (26/36) yard

                                                 That's  13/18 yard, or  0.7222... yard.

3 0
3 years ago
The shaded portion of the grid below represents the portion of a granola bar remaining.
Nady [450]

Answer:

A. 1%

B. 80%

C. 0.8, 8/10

Step-by-step explanation:

A. There are 100 blocks so each block is 1/100 which is 1%

B. As you can see, there are 80 blocks shaded so that would be 80/100 which is 80%

C. You can represent a percent as a decimal or a fraction

Hope this helped!

8 0
3 years ago
Read 2 more answers
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