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2 years ago

14

Plot triangle ABC on graph paper with points A(2,2). B(-2, -2) and C(8, -2).

1 answer:

bonufazy [111]2 years ago

4 0

9514 1404 393

Answer:

a) The new triangle is a reflection of the original across the origin. All angles, segment lengths, and line slopes have been preserved: the transformed triangle is congruent with the original.

b) The new triangle is a reflection of the original across the origin and a dilation by a factor of 2. Angles have been preserved: the transformed triangle is similar to the original. The transformation is NOT rigid.

Step-by-step explanation:

1. The transformed triangle is blue in the attachment. It is congruent with the original. The transformation is "rigid," a reflection across the origin. All angles and lengths have been preserved, as well as line slopes.

__

2. The transformed triangle is orange in the attachment. It is similar to the original, in that angles have been preserved and lengths are proportional. It is a reflection across the origin and a dilation by a factor of 2. Line slopes have also been preserved. A dilation is NOT a "rigid" transformation.

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: A new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.

d1i1m1o1n [39]

Answer:

2 bears in 2020.

Step-by-step explanation:

We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.

We will use exponential decay formula to solve our given problem as:

$y=a\cdot (1-r)^x$ , where,

y = Final quantity,

a = Initial value,

r = Decay rate in decimal form,

x = Time

$20\%=\frac{20}{100}=0.20$

Upon substituting our given values in above formula, we will get:

$y=150(1-0.20)^x$

$y=150(0.80)^x$ , where x corresponds to year 2000.

To find the population in 2020, we will substitute $x=20$ in our equation as:

$y=150(0.80)^{20}$

$y=150(0.011529215046)$

$y=1.7293822569$

$y\approx 2$

Therefore, 2 bears are there predicted to be in 2020.

Since population is decreasing so population is best described as exponential decay.

8 0

2 years ago

What is the value of the expression below when w = 3?<br> 6W - 9<br> Help plz

bezimeni [28]

9

6w -9
6(3) -9
18 - 9
=9

7 0

2 years ago

Which option is correct for finding x?

san4es73 [151]

Answer:

35 degrees is correct(I might be wrong though.)

Step-by-step explanation:

Since this is a vertical angle question,3x° = 70 + x°

Therefore,3x - x = 2 x,making 2x=70.

so x= 70÷ 2=35. Again- I might be wrong-

5 0

2 years ago

English and American spellings are colour and color, respectively. A man staying at a Parisian hotel writes this word, and a let

photoshop1234 [79]

Answer:

The probability is 5/11

Step-by-step explanation:

Let's call V the event that the letter taken at random is a vowel.

Let's call E the event that the man is English and A to the event that the man is American.

If 40 percent of the English-speaking men at the hotel are English means P(E)=0.40 and 60 percent are Americans means P(A)=0.60

In ''color'' we have 2 vowels out of 5 letters so P(V/A)=2/5

In ''colour'' we have 3 vowels out of 6 letters so P(V/E)=3/6=1/2

P(E/V)=P(E∩ V)/P(V)

P(V)=P(V|E)P(E) +P(V|A)P(A)

P(V)=(1/2)0.40+(2/5)0.60=0.44

P(E∩V)=P(V|E)P(E)=(1/2)0.40=0.20

P(E/V)=0.20/0.44=0.45454545=5/11

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3 years ago

A city park commission received a donation playground equipment from a parents' organization. The area of the

anygoal [31]

Answer:

try and make it smaller and you will get more anwers.

Step-by-step explanation:

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2 years ago