If AB=CD, CD = 9in, BC = 5x, and AD = 53 in. , find BC

Answers

Answer 1

Answer:

BC = 35in.

Step-by-step explanation:

AD says the entire line is 53in.

AB says it is equal to CD.

CD says it equals 9in so AB + CD = 18in.

BC says it equals 5x.

AB+BC+CD = AD

(9) + (5x) + (9) = 53

5x + 18 = 53

Subtract 18 from both sides

5x = 35

We can stop here because we know that BC = 5x and 5x = 35in.


Related Questions

In the last year,a total of 14,905 earthquakes occurred in a country. Of these,88.8% were minor tremors with magnitude of 4.9 or less on the Richter scale. How many minor earthquakes occurred in the country in the last year?

Answers

Answer:

13,236 minor earthquakes occurred

Step-by-step explanation:

[tex]\frac{Part}{Total}[/tex]

"x" part amount of earthquakes

14,905 total amount of earthquakes

88.8 % part percentage of earthquakes

100% total percentage of earthquakes

[tex]\frac{x}{14905}[/tex] = [tex]\frac{88.8}{100}[/tex]

x = 14,905 × [tex]\frac{88.8}{100}[/tex]

x = 14,905 × 0.888 = 13,235.64 ≈ 13,236 minor earthquakes occurred

f(x)=x^4+3, g(x)=x-7 and h(x)=square root of x then f(g(h(x))=

Answers

Answer:

x² - 28x√x + 294x - 1372√x + 2404

Step-by-step explanation:

f(x) = [tex]x^{4}[/tex] + 3

g(x) = x - 7

h(x) = √x

f(g(h(x))) - ?

g(h(x)) = √x - 7

f(g(h(x))) = [tex](\sqrt{x} -7) ^{4}[/tex] + 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =

= (x - 14√x + 49)(x - 14√x + 49) + 3 =

= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =

=  x² - 28x√x + 294x - 1372√x + 2404

Evaluate (3x + 5) - (2x + 7) when x = 5.
A. 30 - 34 = -4
B. 20 - 17 = 3
C. 20 - 10 + 7 = 17
D. 30 + 34 = 64
13 of 13

Answers

Answer:

The answer is B. 20 - 17 = 3

Step-by-step explanation:

( 3x + 5) - (2x + 7)...... x = 5

( 3(5) + 5) - ( 2(5) + 7)

( 15 + 5) - (10 + 17)

20 - 17 = 3

Thank you :)

Answer:

The answer is  20 - 17 = 3 [Choice B.]

Step-by-step explanation:

Put x = 5 into the formula (3x + 5) - (2x + 7)

[3(5)+5] - [2(5)+7]

= [15 + 5] - [10 + 7]

=20 - 17

= 3

Write the equation of the line that
Passes through (-9,4) and 10,-2)

Answers

Answer:

y = -6/19x - 2

Step-by-step explanation:

First we need to find the slope and we can do that by using slope-intercept form [ y2-y1/x2-x1 ].

-2-4/10-(-9)

-6/19

Second we can find the y-intercept using slope intercept form [ y = mx + b], the slope, and a given point.

y = -6/19x + b

4 = -6/19(-9) + b

4 = 54/19 + b

-2 = b

Third we will input all the data we solved for back into the formula.

y = -6/19x - 2

Best of Luck!

help, i was out sick for most of the week before and didnt learn this materal, i really need help

Answers

Answer:

example 1 is correct

a^2 - b^2 factors as (a+b)(a-b)

that is a form that math teachers want you to memorize

it is called the "difference of squares" factoring

Step-by-step explanation:

[tex]-2b-(-7)=11[/tex]

Answers

Answer:

2

Step-by-step explanation:

[tex] - 2b - ( - 7) = 11 \\ \\ - 2b + 7 = 11 \\ \\ - 2b = 11 - 7 \\ \\ - 2b = 4 \\ \\ b = \frac{4}{ 2} \\ \\ b = 2[/tex]

Hope it help you

Answer:

b = -2

Step-by-step explanation:

[tex] - 2b - ( - 7) = 11[/tex]

[tex] - 2b + 7 = 11[/tex]

[tex] - 2b + 7 - 7 = 11 - 7[/tex]

[tex] - 2b = 11 - 7[/tex]

[tex] - 2b = 4[/tex]

[tex]b = 4 \div( - 2) = - 4 \div 2 [/tex]

[tex]\boxed{\green{b = - 2}}[/tex]

Kakuro is like a crossword puzzle with numbers.

Answers

9514 1404 393

Answer:

   [[. . 3 6 .][1 3 4 9 .][9 2 . 7 1][. 1 2 8 3][. 4 9 . . ]]

Step-by-step explanation:

It is helpful to remember that the first four digits {1, 2, 3, 4} total 10, and the last four digits {6, 7, 8, 9} total 30. It is also worthwhile to note that the smallest sum of two digits is 3 = 1+2, and the largest sum of 2 digits is 17 = 8+9. Some sums can only be made one way: 4 = 1+3, 16 = 7+9.

Here, we will refer to rows 1-5 from the top down, and columns 1-5 from the left to right.

__

Based on the above, column 5 can only be made one way: 1+3. Column 4 can only be made one way: 9+8+7+6. Then the choices for row 3B will be 1+7 or 5+3. We know it can't be 5+3 because 5 is not part of column 4. This makes our first fill-in (row, column) be (3,4)=7, (3,5)=1, (4,5)=3.

The sum of the remaining cells in row 4 must be 14-3 = 11, and cell (4,4) must be 6, 8, or 9. It cannot be 9, because that would require the remaining two cells to have a sum of 2, which they cannot. So, cell (4,4) is 6 or 8.

Cell (1,4) cannot be 9, either, because we cannot use 0 in cell (1,3). Then the only place for 9 in column 4 is in cell (2,4)=9.

With cell (1,4) being restricted to 6 or 8 (the two remaining numbers in column 4, cell (1,3) must be 3 or 1, and cell (2,3) must be 4 or 6. It cannot be 6 because that would require a sum of 2 in the first two cells of row 2, so (2,3)=4, (1,3)=3, and (1,4)=6. This makes (4,4)=8 and the remaining two cells of row 4 must be 1 and 2. 1 cannot go in (4,3), so we must have (4,3)=2 and (5,3)=9, (5,2)=4, (4,2)=1. That leaves 2 and 3 for rows 2 and 3 of column 2. The first two cells of row 2 must total 4, so must be 1 and 3. Cell (2,2) cannot be 1, so must be 3, leaving (2,1)=1, (3,1)=9, (3,2)=2 and that completes it.

The fill-ins are ...

   [. . 3 6 .]

  [1 3 4 9 .]

  [9 2 . 7 1]

  [. 1 2 8 3]

  [. 4 9 . . ]

Find the nth term for the following sequences, 100,96,90,82,72.(an^2+bn+c)​

Answers

9514 1404 393

Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

_____

Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

a = d2/2b = d1 -3ac = a1 -d1 +d2

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

a = -2/2 = -1b = -4 -3(-1) = -1c = 100 -(-4) +(-2) = 102 . . . . . as above

Which two integers is 91 squared by 3 between

Answers

Answer:

9 and 10

Step-by-step explanation:

The angle made by circle is ______.​

Answers

Answer:

Step-by-step explanation:

360 degrees

Answer:

No angle is made

Step-by-step explanation:

According to me an angle is a point where two or more lines meet and apparently a circle has no meeting lines expect with given radii , diameters or chords

a circle has a radius of 4m. find the circumference of the circle show your worth and strictly answering used 3.14 for pi​

Answers

Answer:

25.12

Step-by-step explanation:

Circumference (C) = 2πr

Where r = radius

We want to find the circumference of a circle with a radius of 4m ( this means that r = 4 )

To do so we simply plug in the value of r into the circumference formula

Formula: C = 2πr

r = 4 ( note that it says use 3.14 for π )

plug in values

C = 2(3.14)(4)

Simplify

C = 25.12

I need you help, help me pleaseeeee

Answers

Answer:

y=4x+2 is answer .......

Can someone help me (Geometry)

Answers

Answer:

sum of angles on a straight line =180 degrees

DAB=180-36-35=109 degrees

inductive reason what is next number in sequence 400, 200, 300, 150, 250​

Answers

Answer:

125

Step-by-step explanation:

400÷2 = 200

300÷2 = 150

so,

250÷2 = 125

23 + 3.54 ÷ 3 − 1.089

Answers

Answer:

23.089

Step-by-step explanation:

Always divide first then continue with subtraction then addition.

Hey there!

Just do PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

23 + 3.54 / 3 - 1.089

= 23 + 3.54 / 3 - 1.089

3.54 / 3 = 1.18

= 23 + 1.18 - 1.089

23 + 1.18 = 24.18

= 24.18 - 1.089

= 23.091

Answer: 23.091

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

PLEASE HELP!!! How does the multiplicity of a zero affect the graph of the polynomial function?

Answers

9514 1404 393

Answer:

2, 4, 61cross

Step-by-step explanation:

Consider a zero at x=1.

If it has multiplicity 1, the corresponding factor is (x -1). Now consider the sign of that factor for x = 1.1. The value is (1.1 -1) = 0.1, a positive number.

When the value of x is 0.9, the factor is (0.9 -1) = -0.1, a negative number.

This tells you that values to the left of a zero make the factor(s) associated with that zero be negative. For x-values to the right of the zero, the factor(s) will be positive.

If the multiplicity is even, the product of those factors is positive on either side of the zero. (A negative number to an even power is a positive number.) That is, the graph will not change sign from one side of an even-multiplicity factor to the other. At an odd-multiplicity factor, the graph changes sign.

__

For the problem at hand, the only even-multiplicity factor is (x -1), so the graph will not change sign at x=1. It will touch the axis (be tangent to the x-axis), but will not cross. The other zeros have odd multiplicity (1 or 3), so the graph will change sign there.

It is worthwhile to note that the higher the multiplicity, the "flatter" the graph is at the zero. You can see this in the attachment by comparing the shape of the graph at x=6 with the shape at x=2 (also an upward zero crossing).

_____

Additional comment

You may wonder why the curve is below the x-axis at x=1 when the product of the factors in that neighborhood is always positive. The reason is that there are an odd number of zeros to the right of x=1, so the product of those factors is negative.

find the value of x of parallelogram fast​

Answers

In this figure to find value of x ,length of AC should be given...I dont see the length of AC in the picture..

If ;= -7, what is the value of 13?
-1
i
1
-i

Answers

Answer:

B r a i n d o e s n o t c o m p r e h e n d

Step-by-step explanation:

m e n o u n d e r s t a n d

Answer:

M E N E I T H E R ! ! ! !

Step-by-step explanation:

U H h h H H H H H H !!!!!!!!!

what is 7.04 trillion in scientific notation?

Answers

Answer:

According to Answers.com the answer is 7.04 1012

And according to AnswerGuru its 7.04 trillion = 7.04 x 10¹²

7. Jonathan rolled a 5,1, and 3 on a number cube. He made the greatest number possible. He estimated his number to the nearest 100. What is his number? ​

Answers

Answer:

500

Step-by-step explanation:

Greatest possible number with digits 5,1,3 is 531.

round to hundred =500

A contractor removed 357 cubi c ya rds of earth from a building site. If the contractor’s trucks can haul 17 cubic yards per load, how many truckloads of earth were moved?

Answers

Answer:

21 loads

Step-by-step explanation:

357/17=21

Piano lessons cost 30 dollars for 3/4 hour how much for an hour

Answers

Answer:

40

Step-by-step explanation:

Divide 30 by 3 to find 1/4. You get 10.

Multiply 10 by 4 to find 4/4. You get 40.

Integers bigger than 3 and smaller than 10

Answers

Answer:

There are 6 integers in-between 3 & 10

Explanation:

Integers are simply whole numbers.

4,5,6,7,8,9.

Evaluate the expression.
6(3 + 5)
26.
4
HELP

Answers

Answer =1267.2

Step-by-step explanation:

6(3+5)26.4

6×8×26.4

48×26.4

1267.2 is the answer

8) Carol earns $5.25 per hour. She worked 15 hours
last week. How much did he earn?
A. $82.50
B. $78.75
B. $52.15
D. $25.85

Answers

the answer is $78.75 i did the math to this problem

The perimeter of a rectangle is 92 cm. If the length is 22 cm, how wide is the rectangle?

A) First write an equation you can use to answer this question. Use w as your variable in the equation.

Answers

Answer:

W = 24cm

Step-by-step explanation:

p of a rectangle = 92

L = 22cm and W = ?

p = 2(L+W)

92 = 2(22+W)

92 = 44 + 2W

2W = 92 - 44

2W = 48

W = 48/2

W = 24cm

Sample annual salaries​ (in thousands of​ dollars) for employees at a company are listed.
41  54  61  48  27  27  41  54  61  31  48  41  47
​(a) Find the sample mean and sample standard deviation.
​(b) Each employee in the sample is given a 5​% raise. Find the sample mean and sample standard deviation for the revised data set.
​(c) To calculate the monthly​ salary, divide each original salary by 12. Find the sample mean and sample standard deviation for the revised data set.
​(d) What can you conclude from the results of​ (a), (b), and​ (c)?

Answers

Answer:

Down

Step-by-step explanation:

List from low to high

27 27 31 41 41 41 47 48 48 54 54 61 61

a. Mean = sum of sample/2

Mean = 581 / 2 = 290.5

b. Mean + 5%

290.5 + 5% = 305.025

c. 305.025 / 12 = 25.41875

d. Mean is ratio. Thus the adding and dividing with anything will affect the mean overall

68. Evaluate - 2a + 6b when a = 6 and b = -3

Answers

-2a + 6b

= -2(6) + 6(-3)

= -12 + (-18)

= -30

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{-2a + 6b}[/tex]

[tex]\huge\textsf{= -2(6) + 6(-3)}[/tex]

[tex]\huge\textsf{= -12 + (-18)}[/tex]

[tex]\huge\textsf{= -12 - 18}[/tex]

[tex]\huge\textsf{= -30}[/tex]

[tex]\huge\textsf{Therefore, your answer is: -30}[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day! }[/tex]

~[tex]\huge\textsf{Amphitrite1040:)}[/tex]

When one number is divided by another, the result

Answers

80 is diviser , 240 is dividend and 3 is quotient

A triangle with a perimeter of 30 inches has sides of x+3, 2x+5, and x. find the value of x

Answers

Answer:

x = 5.5 inches.

Step-by-step explanation:

The perimeter is the sum of the 3 sides, so:-

x + x + 3 + 2x + 5 = 30

4x + 8 = 30

4x = 22

x = 5.5.

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