In a pair of similar polygons, corresponding angles are congruent.A.) cannot be determined
B.) sometimes
C.) always
D.) never

Answers

Answer 1

Answer: The correct answer would be option C. Similar polygons
Similar polygons are polygons wherein the corresponding angles are congruent and the corresponding sides are proportional with each other. Thus, having a pair of similar polygons would mean that its corresponding angles would always be congruent.

Answer 2

Answer: The correct answer would be C. Always

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Which sequence of transformations carries ABCD onto HGFE

Answers

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the after transformation figure ABCD onto HGFE. It means HGFE is image of ABCD after transformation.

From the figure it is noticed that A(2,-1) and H(-6,1).

Rotation of 90 degree clockwise about the origin followed by the reflection across the x-axis is expressed as

$(x,y)\rightarrow (y,-x)\rightarrow (y,x)$

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option A is incorrect.

Translation 3 unit up followed by the reflection across the y-axis is expressed as

$(x,y)\rightarrow (x,y+3)\rightarrow (-x,y+3)$

Therefore the image of A(2,-1) is (-2,2), which are not the coordinates of H. Option B is incorrect.

Reflection across the x-axis followed by rotation of 90 degree counterclockwise about the origin is expressed as

$(x,y)\rightarrow (x,-y)\rightarrow (y,x)$

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option C is incorrect.

Translation 8 unit left followed by reflection across the x-axis is expressed as

$(x,y)\rightarrow (x-8,y)\rightarrow (x-8,-y)$

Therefore the image of A(2,-1) is (-6,1), which are the coordinates of H. Option D is correct.

If you look closely at the options, the first 3 options will not produce an image that will be in Quadrant II with the vertices coinciding HGFE.
But if you look at the 4th option, translating the points 8 units to the left will produce an image in Quadrant III. Reflecting the image across the x-axis will produce triangle HGFE.

a boy is 17 tears old and his sister is twice as old. when the boy turns 23 yrs old what will be the age of his sister?

Answers

So,

We know that the boy is half as old as his sister.

Boy now = 17
Sister now = 34

Boy + 6 = 23

So, we add 6 to the sister's current age.
34 + 6 = 40

The sister will be 40 years old.

b=17
s=2b=17(2)=34
so

34-17=17 therefor
s-17=b

so
s-17=23
add 17 to both sdies
s=40
sister will be 40

How do you make a mix number an improperfraction example 4 8/11

Answers

Basically what you do is you multiply the denominator (11) by the whole number (4). Then, you add that to the numerator (8).

For this one it would be 11 x 4 = 44
44 + 8 = 52

4 8/11
= 4+ 8/11
= 44/11+ 8/11
= 52/11

The final answer is 52/11~

What two numbers add to -5 and multiply to 12?

Answers

negative 6 and negative 2

-2+-3x2.4=12 possible. Hold on.

The density of a certain material is such that it weighs 7 pounds for every 5.5 cups of volume. Express this density in kilograms per pint. Round your answer to the nearest hundredth.

Answers

Answer:

$Density = 1.1546\ kg/pint$

Step-by-step explanation:

Given

$Mass = 7\ lb$

$Cups = 5.5$

Required

Determine the density in Kg/Pint

Density is calculated as thus:

$Density = (Mass)/(Volume)$

$Density = (7\ lb)/(5.5\ cups)$

Convert pound to kg

$Density = (7/ 2.205\ kg)/(5.5\ cups)$

$Density = (3.17515\ kg)/(5.5\ cups)$

Convert cups to pint

$Density = (3.17515\ kg)/(5.5/2\ pint)$

$Density = (3.17515\ kg)/(2.75\ pint)$

$Density = 1.1546\ kg/pint$

Final answer:

The density of the given material can be converted from 7 pounds per 5.5 cups to 1.22 kg per pint by adjusting the weight from pounds to kilograms and the volume from cups to pints.

Explanation:

To solve this problem, we need to start by understanding the unit conversions. We know that 1 pound is approximately 0.453592 kilograms and 1 pint is equivalent to 2.11338 cups. Therefore, we need to convert the units of the given density from pounds per cups to kilograms per pint.

First, convert the weight from pounds to kilograms: 7 pounds * 0.453592 kg/pound = 3.17514 kg

Next, convert the volume from cups to pints: 5.5 cups / 2.11338 cups/pint = 2.6 pints

Finally, calculate the new density by dividing the weight by the volume: 3.17514 kg / 2.6 pints = 1.22 kg/pint to the nearest hundredth.

Learn more about Density Conversion here:

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Ann purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card. Ann used her card only once to make a long distance call.If the remaining credit on her card is 14.26,how many minutes did her call last?