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nekit [7.7K]
3 years ago
13

Which transformation, when performed on the triangle ABC, will result in the transformed figure A'B'C being similar but NOT cong

ruent to the original triangle?
Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

b. a dilation by a scale factor of 2

Step-by-step explanation:

Which transformation, when performed on the triangle ABC, will result in the transformed figure

A'B'C' being similar but NOT congruent to the original triangle?

a. a reflection over the x-axis

b. a dilation by a scale factor of 2

C.a translation two units to the right

d. a rotation 90° clockwise about the origin

Solution:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Rigid transformation are transformation that preserves the size and shape of a figure. Examples of rigid transformation are reflection, translation and rotation.

Dilation preserves the shape but not the size of a figure.

If translation, rotation or reflection is done on triangle ABC, the transformed figure would be congruent to the original triangle. But, if dilation is done, the transformed figure would be similar but NOT congruent to the original triangle.

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Factor completely 50 a^2 b^5 - 35 a^4 b^3 + 5 a^3 b^4
maw [93]

Answer:

5a^2b^3(-7a^2+ab+10b^2)

Step-by-step explanation:

Factor 50 a^2 b^5 - 35 a^4 b^3 + 5 a^3 b^4

−35a^4b^3+5a^3b^4+50a^2b^5

=5a^2b^3(-7a^2+ab+10b^2)

3 0
3 years ago
Ian so stuck on this one please help me on this thank you
densk [106]
Well, if you use the net diagram, the one below the pyramid, this is how to do it:
First, find the area of the square, or the base. That would be 10 * 10 = 100ft.
Then, you find the areas of all of the triangles, which is this formula: A= BH / 2.
So you would do 10 * 12 / 2 for each triangle, or you can just make them squares, since there are four triangles, and it would turn into 10 * 12 * 2 for all of them. That was just an easier way to figure it out, but  you could have done each triangle and then added them all up. 
Finally, add what you get for the triangles, 240ft, with the area of the square, 100ft. You get 340ft².
Your answer will be 340ft².
Hope this helped!
6 0
3 years ago
Two angles are complementary. One angle's measure is 3 more than 9
Basile [38]

Answer:

The measure of one angle is 81.3° and the other angle is 8.7°.

Step-by-step explanation:

We are given that two angles are complementary. One angle's measure is 3 more than 9  times the other angle.

Let the measure of one angle be 'x' and the measure of other angle be 'y'.

So, according to the question;

  • <u>The first condition</u> states that two angles are complementary, this means that the sum of both angles must be equal to 90°, i.e;

                                 x + y = 90°

                                 x = 90° - y  ---------------- [equation 1]

  • The second condition states that One angle's measure is 3 more than 9  times the other angle, i.e;

                             x = 3 + 9y ------------ [equation 2]

Now, both the equations we get;

90 - y = 3 + 9y

9y + y = 90 - 3

10y = 87

y=\frac{87}{10} = 8.7°

Now, putting the value of y in equation 1 we get;

                x = 90° - y

                x = 90° - 8.7° = 81.3°

Hence, the measure of one angle is 81.3° and the other angle is 8.7°.

5 0
3 years ago
kevin borrowed $32,500 to purchase a new car. If the rate on the loan is 6% compounded annually, how much will he pay in total o
VLD [36.1K]

Answer: He would pay $43492.33 in total over the course of the 5 years.

Step-by-step explanation:

Since we have given that

Amount he borrowed = $32500

Rate of compounded annually = 6%

Number of years = 5 yr

As we know the formula for "Compound Interest':

A=P(1+\frac{r}{100})^n\\\\A=32500(1+\frac{6}{100})^5\\\\A=32500(\frac{100+6}{100})^5\\\\A=32500(1.06)^5\\\\A=\$43492.33

Hence, He would pay $43492.33 in total over the course of the 5 years.

3 0
3 years ago
Ahmad bought 5 ounces of salad greens for $4.00. What was the unit price per pound of the salad greens?(1 pound = 16 ounces)
klasskru [66]
It would be C, $12.80.
6 0
3 years ago
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