Triangle ABC was dilated by 50% what is the relationship between AC and A’C’

A) AC= A’C’
B) AC= 5(A’C’)
C) AC= 1/2 (A’C’)
D) 1/2 (AC)= A’C’

Complete question :

Alexandra and Chi compete in an​ Olympic-type triathlon consisting of a 1.5 km ​swim, a 40 km bicycle​ ride, and a 10 km run. There are two transitions in the race where the participants take time to change from one mode of the race to another. Their times from the race are shown. Complete questions 1dash4 below.

How long does it take Alexandra to complete the triathlon. Write a linear equation to model total time t in hours.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

SWIM:

Alexandra __5km/hr

Chi _______ 6km/hr

Transition 1:

Alexandra __ 4 minutes

Chi _______ 5 minutes

CYCLE:

Alexandra __15km/hr

Chi _______ 15km/hr

Transition 2:

Alexandra __ 3 minutes

Chi _______ 5 minutes

RUN:

Alexandra __6km/hr

Chi _______ 7.5km/hr

Distances:

swim distance = 1.5km

bicycle​ ride distance = 40km

run distance = 10km

Time taken by Alexandra :

time = distance / speed

Swim time = 1.5km / 5km/hr = 0.3 hr

Transition 1 = 4/60 = 0.067 hr

Cycle time = 40km / 15km/hr = 2.67 hours

Transition 2 = 3/60 = 0.05 hr

Run time = 10 / 6km/hr = 1.67 hrs

Total time(t) in hours taken by Alexandra :

(0.3 + 0.067 + 2.67 + 0.05 + 1.67) hrs = 4.757 hours

Time taken by Chi :

time = distance / speed

Swim time = 1.5km / 6km/hr = 0.25 hr

Transition 1 = 5/60 = 0.083 hr

Cycle time = 40km / 15km/hr = 2.67 hours

Transition 2 = 5/60 = 0.083 hr

Run time = 10 / 7.5km/hr = 1.33 hrs

Total time(t) in hours taken by Chi

(0.25 + 0.083 + 2.67 + 0.083 + 1.33) hrs = 4.757 hours = 4.416 hours

Answer:

21

Enzo can only buy 21 kiwis from the store.

Step-by-step explanation:

We have to divide

But since it's going too be hard for me to show you the long division, I'm just going to use a multiplication trick!

Let's find what is 20x0.99 first, because I feel like this CAN be the answer.

20x0.99=19.8

So this is not the answer

Now, let's try 22x0.99

22x0.99=21.78

So this is also not the answer.

Now, let's try 21, I think only this one can be the answer.

21x0.99=20.79

So hence, 21 is the right answer. Enzo can buy 21 Kiwis

Thanks!

~[tex]FieryAnswererGT[/tex]~

Answer:

21

Step-by-step explanation:

Given;

Enzo has $20.79 to spend on fruit.

Each Kiwis cost $0.99

Note;

20.79 ÷ 0.99 = k

or

20.79 ÷ 0.99 = Solution

Solve;

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100[/tex]

[tex]\frac{2079}{99}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}99\overline{|\smallspace2079}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;207\;by\;99\;to\;get\;2[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 99\overline{|\smallspace2079}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace9\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace9\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]Divide\;99\;by\;99\;to\;get\;1[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\\ 99\overline{|\smallspace2079}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace9\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace9\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace9\emptyspace9}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[RevyBreeze]

The distance from the person to the base of the cliff is 269.78 meters.

The height of the building from the base of the cliff is 829.37 meters

The situation forms right angle triangle.

The building is constructed on top the cliff that is 300 meters high.

Right angle triangle has one of its sides as 90 degrees. Therefore, the sides can be found using trigonometric ratios.

The height of the building from the cliff is 300m. let's find the hypotenuse side of the angle of elevation formed to the cliff.

Using sin rule,

300 / sin (72 - 63) = y / sin (180 - 162)

300 / sin 9 = y / sin 18

300 sin 18 = y sin 9

y = 300 sin 18 / sin 9

y = 92.7050983125 / 0.156

y = 594.230769231

Therefore, how far the person to the base of the cliff can be calculated as follows;

cos 63 = adjacent / hypotenuse

cos 63 = x / 594.2307

x = 594.2307 cos 63

x = 269.775092454

x = 269.78 meters

Therefore, the distance from the person to the base of the cliff is 269.78 meters.

height of the cliff  / 269.78 = tan 63

height of cliff = 269.78 tan 63

height of cliff = 529.37493165

height of cliff = 529.37

The height of the building = 300 + 529.37 = 829.37493165 = 829.37 meters

learn more on right triangle here: https://brainly.com/question/14806301

i think it should be -1.6

if you add 7 to 9 it'll be 16.

if you divide -10 by 16 it'll give you -16/10.

simplify it and you should get -8/5 or -1.6.

Answer:

44 and 46

Step-by-step explanation:

A complementary angle is 90 degrees

90/2 = 45

If 45 + 45 = 90

44 + 2 = 46
44 + 46 = 90

:)

Answer:

<5 ~= <1 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5 ~= <7 - Vertical Angles Theorem

line I || line m - Transitive Property

Step-by-step explanation:

from midpoint formula p(x,y)= -2 +(-3)÷2 ,-8+(-12)÷2

=-5÷2 , -20÷2

= -2.5 , -10

Answer: home / math / distance calculator

Distance Calculator

The calculators below can be used to find the distance between two points on a 2D plane or 3D space. They can also be used to find the distance between two pairs of latitude and longitude, or two chosen points on a map.

2D Distance Calculator

Use this calculator to find the distance between two points on a 2D coordinate plane.

Result

Distance: 7.8102496759067

Steps:

Distance (d) = √

Step-by-step explanation:

An example for #5 is y=-8x+2, and an answer for 6. is y=6x+9. The formula is y=mx+b so the b is the y-int/y and the m is the slope/x. The x is the variable(the one beside the m).

Answer:

Transitive Property of Congruency;If parallel lines have a transversal, then alternate interior angles are congruent.

Step-by-step explanation:

the area of the surface of this design is 31 in long

Answer:

392 inches²

Step-by-step explanation:

10 inches × 6 inches = 60 inches²

60 inches² × 2 = 120 inches²

----------------------------------------------------------------------------------------------------------

(6 inches + 4 inches) × 6 inches = 10 inches × 6 inches = 60 inches²

60 inches² × 2 = 120 inches²

----------------------------------------------------------------------------------------------------------

(10 inches × 6 inches) + (4 inches × 4 inches) = 60 inches² + 16 inches² = 76 inches²

76 inches² × 2 = 152 inches²

----------------------------------------------------------------------------------------------------------

Add them all together ~

120 inches² + 120 inches² + 152 inches² = 392 inches²

Answer:

25

2.5

how many hours

I hope this helps

Answer:

28.25in

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

all triangles add up to 180 so

19x + 10x + 7x = 180

36x = 180

36       36

x = 5

19(5) = 95°

7(5) = 25°

10(5) = 50°

Answer                :8.3

Step-by-step explanation:

Work Shown:

(f - g)(x) = ( f(x) ) - ( g(x) )

(f - g)(x) = ( -3x^2 ) - ( -5x+3 )

(f - g)(x) = ( -3x^2 ) - ( -5x) - ( 3 )

(f - g)(x) = -3x^2 + 5x - 3

Answer: proportional

Step-by-step explanation: it is proportional because you can multiply any number by 7

Answer:

21000

Step-by-step explanation:

You move the decimal point over that many times as the power of 10.

IT is found that [tex]2.1 \times 10^4[/tex] can be written in standard form as 21,000.

Since Scientific notations have some of the profits are Better readability due to compact representation

The value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

To convert from scientific notation to standard form, we simply move the decimal point to the right by the number of places indicated by the exponent (4 in this case).

Starting with  [tex]2.1 \times 10^4[/tex] , we move the decimal point four places to the right to get 21,000.

Hence,   [tex]2.1 \times 10^4[/tex] in standard form is 21,000.

Learn more about scientific notation here:

https://brainly.com/question/3112062

#SPJ6

Answer: 640

All you have to do is Length times Width times Height.

Step-by-step explanation:

4x10x16
4x10=40
40x16=640

So, 640 your answer.

Answer:

x=134

Step-by-step explanation:

As angles in a triangle add up to 180 degrees

also angles on a straight line add up to 180

so 180-(64+70)=46

and 180-46=134

PLEASE GIVE BRAINLIEST AND THANKS

Answer:

Yes

Step-by-step explanation:

2B+B=3b and 3b and 3b are the same.

Thus, they have the same value

Answer:

the value of 532×13=6,916

Answer:

y=-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-1))/(-5-0)

m=(-1+1)/-5

m=0/-5

m=0

y-y1=m(x-x1)

y-(-1)=0(x-0)

y+1=0

y=0-1

y=-1

Answer:

[tex]\\[/tex]

Step-by-step explanation:

Let,

[tex]\\[/tex]

To find the perimeter of the traingele with vertices of A (1,4), B(1, -2) and C(-3,-2). We have to first find the distance between each pair of points, which will give length of the sides.

[tex]\\[/tex]

Using distance formula,

[tex]\\[/tex]

[tex] \dashrightarrow \sf \: \: AB = \sqrt{( x_{2} - x_{1})^2 + (y_{2} - y_{1})^2} \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \: AB = \sqrt{{ {(1 - 1)}^{2} } + {( - 2 - 4)}^{2} } \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \: AB = \sqrt{0 + {( - 6)}^{2} } \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \: AB = \sqrt{36} \\ \\ [/tex]

[tex]\pink{ \dashrightarrow\sf \: \: {\underline{AB = 6 }}}\\ \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \: BC = \sqrt{{ {( - 3 - 1)}^{2} } + {( - 2 + 2)}^{2} } \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \:BC = \sqrt{ {( - 4)}^{2} + 0} \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \:BC = \sqrt{16} \\ \\ [/tex]

[tex] \pink{ \dashrightarrow \sf \: \:{ \underline{ BC = 4 }}}\\ \\ \\ [/tex]

[tex]{\dashrightarrow { \sf \: \: {AC = \sqrt{{ {( - 3 - 1)}^{2} } + {(2 - 4)}^{2}}}} } \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \:AC = \sqrt{ {( - 4)}^{2} + {( - 2)}^{2} } \\ \\ [/tex]

[tex] \dashrightarrow\sf \: \: AC = \sqrt{16 + 4} \\ \\ [/tex]

[tex] \dashrightarrow \sf \: \:AC = \sqrt{20} \\ \\ [/tex]

[tex] \pink{ \dashrightarrow \sf \: \: { \underline{AC = 2 \sqrt{5} }}}[/tex]

[tex]\\[/tex]

Now,

[tex]\\[/tex]

[tex] \dashrightarrow\sf \: \: Perimeter = AB + BC + AC \\ \\ [/tex]

[tex] \dashrightarrow\sf \: \: 6 + 4 + 2√5 \\ \\ [/tex]

[tex] \dashrightarrow\sf \: \: {\pink{ \underline{ \boxed { \pmb{ \sf{ \: 10 + 2√5 \: \: }}}}}}[/tex]

[tex]\\[/tex]

Hence,

The perimeter of the trapezoid is 9 + √2 + √5 units. then the correct option is D.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points are J(-7, 4), K(-4, 4), L(-2, 3), and M(-8, 3).

We know that distance between two points will be given as

[tex]\rm D= \sqrt{(x_2 - x_1 )^2 + (y_2 - y_1)^2}[/tex]

The distance between JK will be

[tex]JK = \sqrt{(-4+7)^2 + (0)^2 } = 3[/tex]

The distance between KL will be

[tex]KL = \sqrt{(-2+4)^2 + (3-4)^2 } = \sqrt5[/tex]

The distance between LM will be

[tex]LM = \sqrt{(-8+2)^2 + (0)^2 } = 6[/tex]

The distance between JK will be

[tex]MJ = \sqrt{(-7+8)^2 + (4-3)^2 } = \sqrt2[/tex]

Then the perimeter will be

Perimeter = JK + KL + LM + MJ

Perimeter = 3 + √5 + 6 + √2

Perimeter = 9 + √2 + √5

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

Answer:

the correct answer would be D

Step-by-step explanation:

Answer:

S=2000n+100000

Step-by-step explanation:

Since Nicole will have a salary of $110000 after working 5 years for the company, we know that S = 110000 when n = 5.  

         Find the slope using the two points.

           110000 - 100000            10000

   m =  ------------------------     =      ----------   =   2000

                       5-0                            2

The slope shows how much the salary increases each year, which is the same thing as saying that Nicole got a raise of $2000 every year.

The graph can be seen at the end, and by looking at it, you can see that a solution can be (10, 0).

y ≥ (-1/2)*x + 2 + 1/2

y < (1/5)*x + 6

To graph it, first we need to graph the lines:

y = (-1/2)*x + 2 + 1/2

y = (1/5)*x + 6

Once you have this, we analyze each inequality.

y ≥ (-1/2)*x + 2 + 1/2

Because we use the symbol ≥ we need to use a solid line and we need to shade the region above the line.

For y < (1/5)*x + 6 we need to use a dashed line (the symbol < implies that the points on the line are not solutions) and we need to shade the region below the line.

Then the solution of the system is given by the intersection of the shaded region.

For example, a solution can be the point (10, 0), which you can see that belongs to that region.

If you want to learn more about systems of solutions, you can read:

https://brainly.com/question/9774970

Answer:

Forty six thousand,three hundred and six

Answer: Forty-six thousand three hundred and six

Answer:

Quotient: 6x+4

Remainder: 4

Step-by-step explanation:

Hope this helps!