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gayaneshka [121]
3 years ago
8

Which pairs of figures represent isometric transformations? Choose all answers that are correct.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0
The size and shape have to stay the same, so only the first (rotation) and last one (reflection or rotation) are isometric transformations

the second one compresses the shape and the third one is a dilation so they can't be isometric transformations
You might be interested in
Alvin is 7 years younger than Elgas. The sum of their ages is 63. What is Elgas age?
Elden [556K]

Answer:

Elgas is 35.

Step-by-step explanation:

Let's set up an equation.

Alvin is 7 years younger than Elgas.

A = E - 7

The sum of their ages is 63.

A + E = 63

Let's use substitution.

Plug in the first equation of A into the second equation.

A + E = 63

(E - 7) + E = 63

Combine like terms.

2E - 7 = 63

Add 7 to both sides.

2E = 70

Divide both sides by 2.

E = 35

Elgas is 35.

Hope this helps!

6 0
3 years ago
Identify the interval(s) on which the function y = x^2-3x-40 is positive
MakcuM [25]

Answer:

See below

Step-by-step explanation:

x^2-3x-40  Factor

(x - 8) (x + 5)

The x intercepts are -5 and 8

(negative infinity, -5)

(8, positive infinity)

3 0
2 years ago
Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t
shtirl [24]

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


3 0
3 years ago
6²+ (7²+4)<br> what’s the answer ?
Lina20 [59]

Answer:

89

Step-by-step explanation:

7^2=49

49+4=53

6^2=36

53+36=89

7 0
3 years ago
4h - 6= 22<br> -8s + 1= 33<br> -4w - 4= 8<br> 5 +1/7b = -2<br> i need help on these problems!
Margaret [11]
4h−6=22
1. Add 6 to both sides.
<span><span><span><span>4h</span>−6</span>+6</span>=<span>22+6</span></span>
<span><span>4h</span>=28
</span>2.Divide both sides by 4.
<span><span><span>4h/</span>4</span>=<span>28/4
</span></span><span>h=<span>7

</span></span>−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
<span>s=-4
</span><span><span><span>

−<span>4w</span></span>−4</span>=8
</span>Step 1: Add 4 to both sides.
<span><span><span><span>−<span>4w</span></span>−4</span>+4</span>=<span>8+4
</span></span><span><span>−<span>4w</span></span>=12
</span>2: Divide both sides by -4.
<span><span><span>−<span>4w/</span></span><span>−4</span></span>=<span>12/<span>−4
</span></span></span><span>w=<span>−3</span></span>
<span>

Step 1: Simplify both sides of the equation.</span>
<span><span><span><span>1/7</span>b</span>+5</span>=<span>−2
</span></span> 2: Subtract 5 from both sides.
<span><span><span><span><span>1/7</span>b</span>+5</span>−5</span>=<span><span>−2</span>−5
</span></span><span><span><span>17</span>b</span>=<span>−7
</span></span>3: Multiply both sides by 7.
<span><span>7*<span>(<span><span>1/7</span>b</span>)</span></span>=<span><span>(7)</span>*<span>(<span>−7</span>)
</span></span></span><span>b=<span>−49</span></span>
6 0
3 years ago
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