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PtichkaEL [24]
3 years ago
15

A triangle undergoes a sequence of transformations. First, the triangle is dilated by a scale factor of 1/2 about the origin. Th

en the triangle is reflected over the x-axis. Finally, the triangle is translated left 2 units and up 4 units. How does the newly formed triangle compare to the original triangle?
Mathematics
2 answers:
IRINA_888 [86]3 years ago
8 0

Answer:

Because there was a dilation, the two triangles will be similar. The scale factor was less than one, so the image will be smaller than the pre-image.

andrezito [222]3 years ago
7 0
The triangle will still be similar to the original triangle.
Those transformations altered the position and scale of the triangle, but the angle measures are still the same.
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Evaluate using suitable identity:<br>c). 98²​
Vesnalui [34]

Step-by-step explanation:

<h3><u>★ Solution :-</u></h3>

\sf \longmapsto 98^2

\sf \longmapsto (a - b)^2 = a^2 - 2ab + b^2

Here,

  • a = 100
  • b = 2

\sf \longmapsto (100 - 2)^2 = 100^2 - 2(100)(2) + 2^2

\sf \longmapsto 100^2 - 2(100)(2) + 2^2

\sf \longmapsto 10000 - 400 + 4

\sf \longmapsto 9606

6 0
2 years ago
Read 2 more answers
Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. What is the ratio of students purch
Irina-Kira [14]

Answer:

96:144

Step-by-step explanation:

Since there are 240 students and the known value is 96 students buying lunch, you simply subtract the two numbers.

240 - 96 = 144

There are 144 students bringing bag lunch.

The ratio is asking students purchasing  lunch to students bringing a bag lunch, which would be 96:144

The simplified answer is 2:3

To get this, divide 144 by 96

This, in turn, would give you in answer of 3/2 which can be inversed to get the right answer

8 0
3 years ago
Lori is three times as old as Michelle. In five years Michelle's age will be one half of Lori's age. How old are Lori and Michel
AURORKA [14]

Answer:

Lori's age is 15 years old and Michelle's age is 5 years old now

Step-by-step explanation:

Let

x-----> Lori's age

y ----> Michelle's age

we know that

x=3y-----> equation A

(y+5)=\frac{1}{2}(x+5) ----> equation B

substitute equation A in equation B and solve for y

(y+5)=\frac{1}{2}(3y+5)

2y+10=(3y+5)

3y-2y=10-5

y=5

Find the value of x

x=3(5)=15

therefore

Lori's age is 15 years old and Michelle's age is 5 years old now

7 0
3 years ago
HEELPLPLPLPLPLPLPLPLPLPRDVJNLDFBLJFC,LVDZFBV,JDZFHBXV
olga_2 [115]
You first add up how many erasers there are in the bag so there are 20 and then you check how many purple erasers there are and so there are 5 and so the answer is 5/20 or 1/4 which is 0.25 as a decimal and if you do probability the answer has to be in between o and 1 and so 0.25 is in between 0 and 1 so it should be correct 
3 0
3 years ago
Read 2 more answers
Evaluate a^2b^2? when a = 5 and b = 3.
kvasek [131]

Answer:

D) 7

Step-by-step explanation:

a^{2} -2b^{2}

a=5

b=3

\left(5\right)^2-2\left(3\right)^2

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25-2\times 3^{2}

Calculate 3 to the power of 2 to get 9 and then multiply 2 and 9 to get 18:-

25-18

=7

<u>OAmalOHopeO</u>

5 0
2 years ago
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