Uadrilateral ABCD is dilated at center (0,0) with scale factor 1/2 to form quadrilateral A'B'C'D'. What is the length of A'B'?

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

The area of a rectangle is,

[tex]A=length\times width.[/tex]

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

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Answer:

9/10 x 4/5 = 36/50 simplified = 18/25 is your area

Answer:

8/23. Sana po makatulong

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

Answer:

overdraft fees is your answer

Step-by-step explanation:

Oooooooioooooooooooo

Answer:

b

Step-by-step explanation:

Answer:

See the image below for the answer:)

Step-by-step explanation:

Answer:

(a) (0.9240,  0.956)

(b) (0.6383, 0.7017)

Step-by-step explanation:

The number of internet users involved in the survey, n = 846

The percentage of the respondents that said the internet has been good thing for them personally, [tex]\hat p[/tex] = 94%

(a) The confidence interval of a percentage is given as follows;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

The z-value for 95% confidence interval = 1.96

We get;

[tex]CI=0.94\pm 1.96\times \sqrt{\dfrac{0.94 \times (1-0.94)}{846}} \approx 0.94 \pm 1.6003 \times 10^{-2}[/tex]

CI = 0.9240 ≤ [tex]\hat p[/tex] ≤ 0.956 = (0.9240,  0.956)

(b) The percentage of the internet users that said the internet has directly strengthened their relationship with their families, [tex]\hat p[/tex] = 67% = 0.67

The 95% confidence interval is therefore;

[tex]CI=0.67\pm 1.96\times \sqrt{\dfrac{0.67 \times (1-0.67)}{846}} \approx 0.67 \pm 3.1686\times 10^{-2}[/tex]

From which we have;

CI = 0.6383 ≤ [tex]\hat p[/tex] ≤ 0.7017 = (0.6383, 0.7017)

Step-by-step explanation:

16x -(3x + 9) + 17

16x -3x -9 +17

13x + 8

Answer:

¿Cómo comprobar que las razones son proporcionales? ,5

Step-by-step explanation:

Para comprobar si dos o más razones son proporcionales se aplica la propiedad fundamental de las proporciones. 1 * 4 = 1 2 2 4 4 = 4 1 2 3 6 1 * 6 = 6 = 6 = = ? ? 1 2 0,5 1 = Así se concluye que las tres razones son proporcionales. 1 * 1 = 1 = 1 1ra forma. 2 * 2 2 * 3 ? 2 * 0,5

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

Answer:

Question 2 = 15 drinks

Question 3 = 7/12

Step-by-step explanation:

Question 2:

For every drink, there are three sizes

Ratio = 1:3

There are 5 flavors

Multiply each side by 5

5:15

15 drinks

Question 3:

5 red, 6 yellow, 8 blue, 3 orange, 2 purple

Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes

Favourable outcomes = 6 + 8 = 14 favourable outcomes

Fraction = 14/24 = 7/12

If my answer is incorrect, pls correct me!

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Answer:

The answer is -15

Step-by-step explanation:

(-5)3 is the same as -5 × 3

Answer:

-5 x 3 = -15

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12

Answer:

a=35

Step-by-step explanation:

5x35=175, and 175 divided by 7 is 25 :)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: 5a \: = 25 \times 7[/tex]

➺[tex] \: 5a = 175[/tex]

➺[tex] \: a = \frac{175}{5} [/tex]

➺[tex] \: a = 35[/tex]

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]

➺[tex] \: \frac{175}{7} = 25[/tex]

➺[tex] \: 25 = 25[/tex]

➺[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

9

Step-by-step explanation:

A = B + 2

C = B - 3

A x C = 66

A = Andrew

C = Chris

B = Beatrice

Multiply A and c together

(B + 2) x (b - 3)

b^2 - 3b + 2b - 6

b^2 -b - 6 = 66

b^2 - b - 72 = 0

factors of -72b^2 that add up to - b are -9b + 8b

b^2 + 8b -9b - 72

b (b + 8) -9(b + 8)

b = 9 or - 8

b = 9

Answer:1

Step-by-step explanation:

twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.

Answer:

Since the two angles are complementary, they add up to 90...

If we call the first one x, then the other must be 90-x...

Since they are 35 different, we write

x = (90 - x) + 35

now solve, and get

x = 90 - x + 35

x = -x + 125

2x = 125

x = 62.5 deg

the other must be

90 - 62.5 = 27.5 deg

Answer:

49 square inches

Step-by-step explanation:

area of a square = l * l

a = 7 * 7

a = 49 square inches

Answer:

T=2.25

Step-by-step explanation:

To find the area of a triangle, you do the length times height, times two. Therefor T=2.25 (36/8, then you get 4.5, divide that by 2, get 2.25, 2.25x8x2=36.)

Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.

Step-by-step explanation:

Answer:

Let s = the number of small boxes purchased

Let l = the number of large boxes purchased

100s + 350l= 2400

s+l= 9

Answer:

82 degrees is the answer

Step-by-step explanation:

angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus

angle 7 = 180 - 98 = 82 deg

The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.

The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.

∠6 = 98 degrees

Therefore,

∠6 + ∠7 = 180°(angles on a straight line)

∠6 = 98 degrees

Hence,

98 + ∠7 = 180

subtract 98 from both sides

98 - 98 + ∠7 = 180 - 98

∠7 = 82 degrees.

learn more on angle on a straight line here: https://brainly.com/question/16025966

Answer:

If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.

Step-by-step explanation:

Mathematical Proof :

For proof, we should test it out.

To find the total amount of marbles, we add up all the different colors in the bag.

5 + 5 + 5 + 5 = 20

Drawing 2 blue marbles while replacing the first probability :

The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :

5/20 * 5/20 = 25/400 = 1/16

Drawing 2 blue marbles while NOT replacing the first probability :

The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.

So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.

Written Statement :

If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.

Answer:

V=168ft³

Step-by-step explanation:

V=

w-6

h-4

l-7  

V = 168ft³

Answer:

Step-by-step explanation: