In the figure shown, AB = 8 and AD = 5. What is BC?

Answer:

It would be -28, -29, and -30.

Step-by-step explanation: It would be these answers since the numbers are negative the "less than" would be in the other direction.

This system 3x – 1 = 3x + 1 has no solution.

In order to determine the solution for the given system of equations, we would apply the substitution method. Based on the information provided above, we have the following system of equations:

y = 3x - 1      .......equation 1.

y = 3x + 1         .......equation 2.

By using the substitution method to substitute equation 2 into equation 1, we have the following:

3x - 1 = 3x + 1

3x - 3x = 1 + 1

0 = 2 (False).

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Answer:

Here you can find 69 2/3 as a decimal, along with useful information regarding 69 2/3 in decimal form. If you have been searching for 69 and 2 over 3 as a decimal, then you are right here, too. The terms used in this article about 69 2/3 as decimal are explained in detail on our home page; check it out if anything remains unclear. Read on to find the answer to the question what is 69 2/3 as a decimal, and make sure to have a look at our converter.

69 2/3 as a decimal = 69.(6)

Step-by-step explanation:

69.67

2/3 as a decimal is .6 repeating which I rounded

Hope it helps!

Answer:

p = 1.5

Step-by-step explanation:

— 7 + 4p = -8p + 11

Add 8p to each side

— 7 + 4p+8p = -8p+8p + 11

-7 +12p = 11

Add 7 to each side

-7+7 +12p = 17

12p = 18

Divide each side by 12

12p/12 =18/12

p = 18/12

p = 3/2

p = 1.5

Answer:

15

Step-by-step explanation:

15-12+4(3)

15-12+12

3+12

15

Answer:

1

Step-by-step explanation:

Youll only add the top parts so 1+1=2

now we have [tex]\frac{2}{2}[/tex] which is also equal to 1 so our answer is 1.

Answer:

26.2244 mi

Step-by-step explanation:

Step 1: Find conversion

1 mi = 1.609 km

Step 2: Use Dimensional Analysis

[tex]42.195 \hspace{2} km (\frac{1 \hspace{2} mi}{1.609 \hspace{2} km} )[/tex]

26.2244 mi

For this case, we must clear variable "x" from the given equation, expressed in terms of "a".

We have:

3/a x-4=20

By clearing "x" we have:

Adding 4 to both sides of the equation:

3/a x = 20 + 4

Multiplying by a/3 on both sides of the equation:

x=24a/3

x=8a

So, x=8a

Answer:

x=8a

Answer:

False

Explanation:

If you take any negative number (ex. -1 and -2) and you add them together:

(-1) + (-2) it would still equal a negative number (-3).

Answer:

5 to 3 ratio

Step-by-step explanation:

Vadim has 18 books. The total books is 30.

30 to 18 simplified is 5 to 3.

Answer:

8 1/6

Step-by-step explanation:

5/6 + 7 1/3

Change the fractions to different denominators.

5/6 x 1/1 = 5/6

1/3 x 2/2 = 2/6

5/6 + 2/6 = 7/6

7/6 = 1 1/6

1 1/6 + 7 = 8 1/6

Answer:

29.

Step-by-step explanation:

The given expression is

[tex]5+2[(48-40)\div 4+(2\times 5)][/tex]

BODMAS = Bracket, Of, Division, Multiplication, Addition, and Subtraction.

Using BODMAS, we get

[tex]5+2[(8)\div 4+(10)][/tex]         (Brackets)

[tex]5+2[2+10][/tex]                  (Division)

[tex]5+2[12][/tex]               (Brackets)

[tex]5+24[/tex]                 (Multiplication)

[tex]29[/tex]           (Addition)

Therefore, the value of given expression is 29.

Answer:

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary

Step-by-step explanation:

Answer:

It is 34 degrees.

Step-by-step explanation:

Got it right on the quiz. Good luck.

Edit: The link led to a different question but others may want the answer to the quiz they looked for so here is the answer to that question.

Q: Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.

Parallel lines l and m are intersected by lines s and t. A triangle has angles 1, 2, 40 degrees. The exterior angle to angle 1 is 74 degrees.

What is Measure of angle 2

34 degrees

40 degrees

74 degrees

146 degrees

A: 34 Degrees

Answer:

0.4285714286.

The hundredth place is 2 places to the right of the decimal. In this case, it is 2. So we look to the number to the right of 2 (which is 8). 8 ≥ 5, so the 2 gets rounded to a 3.

0.43

Answer:

The answer is 0.43

Step-by-step explanation:

When you divide 3 by 7, you get 0.42857142857142857142857142857143.

To round to the nearest hundredth, you go 2 numbers after the decimal place. The number on the right of the 2nd number (which is in the hundredths place) will either make the number round up or down. Since the number 8 is greater than 5, the number rounds up.

So, the answer will be 0.43

This question is not correctly written

Complete Question

A field in the shape of a trapezoid has an area of 13,687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

Answer:

The height of the trapezoid is 75 yards

Step-by-step explanation:

Area of a Trapezoid = 1/2(b1 + b2) × h

Where b1 = Length of the first base

b2 = Length of the second base

h = height of the trapezoid

From the question

Area of the trapezoid = 13,687.5 yd²

b1 = Length of the first base = 150 yards

b2 = Length of the second base = 215 yards

h = height of the trapezoid

Hence, we have

13,687.5 = 1/2(150 + 215)h

13,687.5 = 365h/2

13,687.5 × 2 = 365h

h = 13687.5 × 2/365

h = 75 yards

Therefore, the height of the trapezoid is 75 yards.

Answer:

[tex]\dfrac{3}{85}[/tex]

Step-by-step explanation:

It is given that a small town’s raffle has 85 entries and 3 gift baskets that three different people could win.

Total number of entries = 85

Total number of gift baskets = 3

We need to find the probability of winning a gift basket.

[tex]\text{Required probability}=\dfrac{\text{Total number of gift baskets}}{\text{Total number of entries}}[/tex]

[tex]\text{required probability}=\dfrac{3}{85}[/tex]

Therefore, the required probability is [tex]\dfrac{3}{85}[/tex].

Answer:

111

Step-by-step explanation:

It is given that the student to faculty ratio at a small college is 17:3.

Let number of students and faculty members are 17x and 3x respectively.

It is given that total number of students and faculty is 740.

[tex]17x+3x=740[/tex]

[tex]20x=740[/tex]

Divide both sides by 20.

[tex]x=37[/tex]

Number of student [tex]=17\times 37=629[/tex]

Number of faculty members [tex]=3\times 37=111[/tex]

Therefore, there are 111 faculty members at the college.

Answer:

102(D.)

Step-by-step explanation:

Answer:

0.57, which is a number between 0 and 1

Step-by-step explanation:

The fraction 4/7 is approximately equal to 0.57 as a decimal, so you would plot 4/7 where 0.57 should go

Answer:

Between 0 and 1

Step-by-step explanation:

Answer:

31.5  centimetre

Step-by-step explanation:

126/4 = 31.5

Answer:

JK = 39

Step-by-step explanation:

HJ and JK are segments of line segment HK, so they must add up to the length of KH.

HJ + JK = HK

By substituting in the values of each line segment, we can solve for t.

(4t - 15) + (5t - 6) = 15

9t - 21 = 15

9t = 36

t = 9

Now that we have t, we can plug it in in order to find the value of JK.

JK = 5t - 6

5(9) - 6

45 - 6

39

JK = 39

Answer:

The scale of dilation is 2.5

Step-by-step explanation:

K · ( 0, 0 ) = ( 0 , 0 )

k · ( 0 , 4 ) = ( 0 , 10 )

k · ( 6, 0 ) = ( 15, 0 )

k = 15/6 = 10/4 = 2.5

The scale of dilation is 2.5

Answer:

I am pretty sure it is C: x squared equals y.

Step-by-step explanation:

The phrase "function of x" means that y depends on the value of x.

The only option where I think this is the case is C.

Answer:

I think it is C

Hope this Helps!

Answer:

C(r) = 100 + 55r

C(6) = $430

Step-by-step explanation:

Fixed charges = $100

Charges per room = $55

A. function that represents the total amount he charges for designing a certain number of rooms.

Let

r = number of rooms

C = Total amount charged

C(r) = 100 + 55r

The function is C(r) = 100 + 55r

B. What is the value of the function for an input of 6, and what does it represent

C(r) = 100 + 55r

When r = 6

C(6) = 100 + 55 * 6

= 100 + 330

= 430

C(6) = $430

This means that the amount charged for 6 rooms is $430

Answer:

173/5000

Step-by-step explanation:

Tell me if correct

Answer:

91/2500

Step-by-step explanation:

Step 1:

0.03460/1

Step 2:

0.346/10

Step 3:

3.46/100

Step 4:

34.6/1000

Step 5:

346/10000

Answer:

91/2500

Hope This Helps :)

For n = 4, all of the given expressions are equivalent except 16 and

(n - 2).

What is Substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

The expressions are;

1. 16

2. n - 2

3. 1/16

4. 1/n²

Now, Put n = 4 in all given expression we get;

The first expression is,

16

The second expression is,

n - 2

= 4 - 2

= 2

The third expression is,

1/16

The fourth expression is,

1/n²

= 1/4²

= 1/16

Hence, Third and fourth expression are same.

So, For n = 4, all of the given expressions are equivalent except 16 and

(n - 2).

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The complete question is this.

If n = 4, all of the following expressions are equivalent except _____.

16

n -2

1/16

1/n ^ 2

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(7-5); B(7,5)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

3

Step-by-step explanation:

Answer:

-1 + 8 + (-3) = 4

Step-by-step explanation:

Answer:

It should be the second one

Step-by-step explanation: