If AB = 10, BD = 5, and DE= 12, what is the length of BC?

Answer:

Step-by-step explanation:

First you have to make it into a fraction, then multiply it by 100 :

Q1.

[tex]0.47 = \frac{47}{100} [/tex]

[tex] \frac{47}{100} \times 100 = 47[/tex]

Q2.

[tex]0.98 = \frac{98}{100} [/tex]

[tex] \frac{98}{100} \times 100 = 98[/tex]

Q3.

[tex]0.25 = \frac{25}{100} [/tex]

[tex] \frac{25}{100} \times 100 = 25[/tex]

Answer:

4) 7.9%

Step-by-step explanation:

Given:

% of milk chocolate = 70%

% of white chocolate = 30%

Total number of chocolate = 20

Number of milk chocolate:

[tex] \frac{70}{100} * 20 = 14 [/tex]

Number of white chocolate:

[tex] \frac{30}{100} * 20 = 6 [/tex]

From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.

2 white chocolates are picked at random without replacement.

Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]

Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]

To find probability that both of them are white chocolates, multiply probability of the first and second.

0.3 * 0.2632 = 0.07896

≈ 0.079

Convert to percentage by multiplying by 100.

0.079 * 100 = 7.9%

The probability that they are both

white chocolate is 7.9%

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]

Answer:

14x+2

Step-by-step explanation:

9x+5x+2

14x+2

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45  , C=90

Answer:

Step-by-step explanation:

x ≥ 2800

12*75=900

900< x

Answer:

Your realized income is an estamated $2876.81 per month

Step-by-step explanation:

36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81

5 / 14

if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))

Answer:

D

Step-by-step explanation:

A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:

5y = 4x + 5

5y - 4x = 5.

Answer:

It's C I THINK but it might be D.

Step-by-step explanation:

Answer:

$18.59

Step-by-step explanation:

19.16=100%

0.1916=1%

97(0.1916)

18.59

Answer:

$18.5852

Step-by-step explanation:

Answer:

the mode is 4

Step-by-step explanation:

the 4 appears more than the other numbers

Answer:

4

Step-by-step explanation:

Mode = Number shown the most.

Answer:

b<1            b>0

Step-by-step explanation:

7b<7

b<1

7b>0

b>0

Answer:

The odd that B draws an ace is 3/51 or 1/17

No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think

Answer:

71% = P

Step-by-step explanation:

500/700 = P/100

500(100) =700p

50,000/700 = 700p/700

P=71%

The percent increase in enrollment is, 71.43%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.

Now,

Increased students = 1200 - 700

                              = 500

Hence, The increased percent is,

⇒ 500 / 700 × 100

⇒ 71.43%

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Answer:

0.25

Step-by-step explanation:

outcomes painted in blue: {3, 4, 5, 6}

number of even outcomes painted in blue: 2

number of total outcomes: 8

Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25

Answer:

Here is the mpg for each 6 cylinder:

(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)

i : between 20-24 = 9/10

ii between 25-29 = 0/10

iii at least 30 mpg = 1/10

c- 38, 28,25,26,24,25

d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.

Step-by-step explanation:

If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.

Answer:

The size of angle PQR is 150°

Step-by-step explanation:

Lets explain how to solve the problem

- A polygon is regular when all its angles are equal and all its sides

 are equal

- The measure of each interior angle an any regular polygon

  = , where n is the number of its angles or its sides

∵ PQ and QR are two sides of a regular 12 sided polygon

∴ Q is one of its vertex

- We need to find the size of angle PQR

∵ Angle PQR is an interior angle in the regular 12 sided polygon

∴ n = 12

Use the rule above to find the size of the angle PQR

∵ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°

Answer:

6

Step-by-step explanation:

6xa is 6a, just like how 2xa is 2a as shown

Answer:

D) ΔDEF ≅ ΔGFE

Step-by-step explanation:

For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.

As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.

I hope this helps :))

ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of  90°)
   EF = EF        (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence  ΔDEF ≅ ΔGFE are congruent by ASA.

Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

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Answer:

2(n+3)-6

n=0

Step-by-step explanation:

2(3+n)-6=

Simplifying

2(3 + n) + -6 = 0

(3 * 2 + n * 2) + -6 = 0

(6 + 2n) + -6 = 0

Reorder the terms:

6 + -6 + 2n = 0

Combine like terms: 6 + -6 = 0

0 + 2n = 0

2n = 0

Solving

2n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '2'.

n = 0

Simplifying

n = 0

Answer:

x = 26 - 21 = 5

Answer:

x=5

Step-by-step explanation: Subtract 21 from both sides. x = 5.

Answer:3/8

Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.

Answer:

1/2 * 3/4

Step-by-step explanation:

Answer:

C)20

Step-by-step explanation:

Cuz 160/8 is 20

Answer:

Step-by-step explanation:

1)

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

m=(9-0)/(7-4)

m=9/3

m=3

2)

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

m=(4-2)/(6-9)

m=2/(-3)

m=-2/3

3)

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

m=(3-(-1))/4-4)

m=4/0

m=undefined

(vertical line)

Answer:

1

Step-by-step explanation:

Anything to the power of zero is one

Answer:

A. a cone with a volume of 32 cubic feet

Step-by-step explanation: