SP=2x+3, and LN=5x−14. Find SP. A. 20 B. 86 C. 43 D. 50

SP=2x+3, And LN=5x14. Find SP. A. 20 B. 86 C. 43 D. 50

Answers

Answer 1

Answer:

C

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side.

SP is a midline segment, thus

SP = [tex]\frac{1}{2}[/tex] LN , that is

2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2

4x + 6 = 5x - 14 ( subtract 4x from both sides )

6 = x - 14 ( add 14 to both sides )

20 = x

Thus

SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C


Related Questions


Type the expression that results from the following series of steps:
Start with
y
, times by 4, then subtract 9.


Answers

Answer:

4y - 9

Step-by-step explanation:

y×4= 4y

4y-9

round off 3867 in nearest 100​

Answers

Answer:

3900

Step-by-step explanation:

since its to the nearest 100th we use the common rule that if the number is greater than half way then we round up otherwise if it is less then we round down. In the number 3867, 867 is greater than 850 so we round up. It becomes 3900 then.

Tell whether the line for x = -5 is horizontal, vertical, or neither.

Answers

Answer:

vertical

Step-by-step explanation:

The line x = -5 includes all points where the value of x is -5, regardless of the value of y. This can be graphed as a vertical line going through (-5, 0), as the line represents the only place where x is the value -5.

I need help!!! Need it asap!!!!!

Answers

Answer:

Not enough infomation, you need to provide #12

Step-by-step explanation:

Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?

Answers

Answer:

1950

Step-by-step explanation:

because 1950 column has the most highest number which is 11

Answer:

Between 1945 and 1950 ( from 5 to 11 ),

Step-by-step explanation:

A local gym charges a $25 monthly membership fee plus $2 per hour for aerobics classes. What is the linear equation that describes the relationship between the total monthly cost (Y) and the number of class hours each month (X)

Answers

Answer:

The equation is same as the equation for a straight line Y= mx+c

Step-by-step explanation:

The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is

[tex]Y= mx+c\\\\ Y= 2X+25[/tex]

where Y= the dependent variable, monthly cost

          x= the independent variable, the number of hours for aerobic classes

          c= the intercept, $25

Geometry, please answer question ASAP

Answers

Answer:

144.5 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where the b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 9.7+24.3) * 8.5

  = 1/2 ( 34)*8.5

   =144.5

Evalute n2+2N for N=5​

Answers

Answer:

Hey there!

Do you mean- [tex]n^2+2n?[/tex]

If so, then your answer would be 5^2+2(5), or 35.

Let me know if this helps :)

Graph the relation shown in the table. Is the relation a function? Why or why not? PLEASE HELP THANKYOU

Answers

Answer:

Yes, no verticle line passes through two graphed points

Step-by-step explanation:

A function is when 1 input only has 1 output. None of the inputs have different outputs. So, this is a function.

What adds to be the bottom numbers but also multiplies to be the top?


39 at the bottom and 25 on the right above 39

Answers

Answer:

well i cant answr it if i oont have more inforomartion

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we add 11,36,61,... to the bottom we get bottom as a multiple of numerator.

2×+16=12(..........+...........)​

Answers

Answer:

The answer is 2x+16=12(1/6x +1/192 )

Step-by-step explanation:

whats the squareroot of 18

Answers

Answer:

it should be 4.24264068712 looked it up

Answer:

18 doesn't have a square root but you can simplify it

[tex] \sqrt{18 } [/tex]

then you take 9 which is a square number and divide it to get 3 which you'll place on the outside

[tex] 3\sqrt{2} [/tex]

The perimeter of a rectangle is 10 feet. If twice the width is equal to half of the length , find the dimensions of this rectangle.

WRITE AS AN EQUATION​

Answers

Answer:

w = 1ft

l = 4ft

Step-by-step explanation:

P  =2w + 2l

2w = l/2 => l = 4w

10ft = 2w + 2×4w

10ft = 2w + 8w

10ft = 10w

w = 10ft/10

w = 1 ft

l = 4w

l = 4×1ft

l = 4 ft

Answer:

length = 4 ft

Width = 1 ft

Step-by-step explanation:

Let length = l ft

Width = w feet

[tex]\frac{1}{2}l = 2w\\\\l = 2w*2\\\\l = 4w[/tex]

Perimeter = 10 ft

2*(l +w)= 10

2*( 4w + w ) = 10

2*5w = 10

10w = 10

Equation:  10w = 10

Divide both sides by 10

10w/10 = 10/10

w = 1 ft

Plug in the value of w in l = 4w

l = 4 *1

l = 4 ft

On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q

Answers

Answer:

approximately 9.2195

Step-by-step explanation:

We can use Pythagorean theorem

one leg is 7 and the other leg is 6

square them

49 and 36

add

85

square root

approximately 9.2195

In 2008, golfer Annika Sornestam had a driving accuracy of 71%. That is, on par 4 and par 5 holes, her tee shot landed in the fairway 71% of the time. Explain how to use a spinner to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives. (Hint: What type of chart is a spinner? What does each piece represent?)

Answers

Answer:

Ok, we know that the driving accuracy is of 71%.

Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)

Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.

Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.

In this way the shot has the region from 1 to 71 (71%) to land in the fairway

and the region from 72 to 100 to not land in the fairway.

If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.

what is an equation in point-slope form of the line that passes through (-5,-3) and has a slope of negative 1

Answers

Answer:

Y= -x-8

Step-by-step explanation:

Hope this helps

Answer:

y + 3 = - (x + 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b ) = (- 5, - 3 ) , then

y - (- 3) = - 1 (x - (- 5) ) , that is

y + 3 = - (x + 5)

7 less than the quotient of a number 5 and w in a algebraic expression.

Answers

Answer:

5/w -7

Step-by-step explanation:

quotient means division

5/w

less than means it comes after

5/w -7

Answer:

5/w-7

Step-by-step explanation:

First, let's write out "the quotient of a number 5 and w"

The quotient is the result from dividing two numbers. Therefore, we must divide 5 and w.

5/w

Now, let's add on "7 less than". Since it is "less than" it will come after the division. "Less" means subtract. So, subtract 7 from 5/w.

5/w-7

7 less than the quotient of a number 5 and w as an expression is: 5/w-7

Which graph best represents the function f(x) = 2(1.5)x? graph of increasing exponential function going through point 0, 2 graph of increasing exponential function going through point 0, 3 graph of increasing exponential function going through point 0, 1 graph of increasing exponential function going through point 0, 4

Answers

Answer: Choice A

Graph of increasing exponential function going through point (0, 2)

=======================================================

Explanation:

Assuming you meant to say f(x) = 2(1.5)^x, then we can see the equation is an exponential and it is increasing. It is increasing because the base b = 1.5 is larger than 1.

Plug in x = 0 to find y

y = 2(1.5)^x

y = 2(1.5)^0

y = 2(1)

y = 2

We have x = 0 and y = 2 pair up together meaning (0,2) is on the function curve. This is the y intercept.

Answer:

A.  graph of increasing exponential function going through point 0, 2

Step-by-step explanation:



Find the distance between the points J( – 8,0) and K(1, 4).
The exact distance between the two points is

Answers

Answer:

The answer is

[tex] \sqrt{97} \: \: units[/tex]

Step-by-step explanation:

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

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]

where

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

From the question the points are

J( – 8,0) and K(1, 4)

The distance between them is

[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]

We have the final answer as

[tex] \sqrt{97} \: \: \: units[/tex]

Hope this helps you

fin the slope of the line that is perpendicular to y=1/3x
1. 3
2. -3
3. -1/3
4. 12

Answers

Answer:

-3

Step-by-step explanation:

When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.

Factor the polynomial completely using the
X method.

x2 + 16x + 48
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared + 16 x + 48.

Answers

The factors of the polynomial x² + 16x + 48 are ;

-4 and -12.

Given the polynomial :

x² + 16x + 48

To factorize :

x² + 16x + 48 = 0

Two numbers whose addition gives 16 and product gives 48

The two numbers are : 12 and 4

x² + 12x + 4x + 48 = 0

x(x + 12) + 4(x + 12)

Hence,

(x + 12) = 0

(x + 4) = 0

Hence,

x = -4 or x = -12

Learn more : https://brainly.com/question/12787576

in digging a pipe trench that measures 29 feet long, 2 feet 9 inches wide, and 3 feet 6 inches deep.
How many cubic yards of earth were removed from the site?

Answers

Answer:

10.34

Step-by-step explanation:

converting digits to feet,

3ft 6in = 3.5 ft

2ft 9in = 2.75 ft

now feet to yards

3.5ft = 1.16666667 yards (rounded)

2.75ft = 0.9166666667 yards (rounded)

29ft = 9.66666667 yards (rounded)

multiplying them, you'll get approximately 10.34 cubic yards (rounded), that's the volume.

or you can multiply the digits in feet,

3.5×2.75×29

= 279.125 cubic ft

now to convert to cubic yards from cubic ft,

279.125/3³

= 10.337963..

= 10.34 (rounded to the nearest hundredth)

Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?

Answers

Options :

A. 6 cups of flour

B.7 cups of flour

C.8 cups of flour

D.9 cups of flour

Answer:

B.7 cups of flour

Step-by-step explanation:

Given the following :

Cups of flour required to make muffins = 3 1/5

Cups of flour required to make banana = 3 2/3

Number of cups of flour required to make both recipe :

(cups of flour required to make muffins + cups of flour required to make bread)

(3 1/5 + 3 2/3) = 3+3+(1/5 + 2/3)

= 6 + (1/5 + 2/3) = (3 + 10)/15 = 6 + (13/15)

6 13/15 = 6.8666666

The best estimate is to round to the nearest whole number = 7

Answer: The answer is 7

Step-by-step explanation:

I got it right in my quiz! Hope this helps (:

n/8 = (-7) help please

Answers

Answer:

n = -56

Step-by-step explanation:

n/8 = (-7)

Multiply each side by 8

n/8* 8 = (-7)*8

n = -56

Answer:

[tex]n=-56[/tex]

Step-by-step explanation:

We can use algebra and simplify the equation until we have n isolated.

[tex]\frac{n}{8} = -7\\\frac{n}{8}\cdot8 = -7\cdot8\\\\n=-56[/tex]

Hope this helped!

x - (-20) = 5 _________________

Answers

X - (-20) = 5

When you subtract a negative, change it to addition:

X + 20 = 5

Subtract 20 from both sides:

X = -15

Answer:

[tex]\boxed{x=-15}[/tex]

Step-by-step explanation:

[tex]x-(-20)=5[/tex]

[tex]\sf Distribute \ negative \ sign.[/tex]

[tex]x+20=5[/tex]

[tex]\sf Subtract \ 20 \ from \ both \ sides.[/tex]

[tex]x+20-20=5-20[/tex]

[tex]x=-15[/tex]

The computer technician charges $20 per visit plus $35 per hour. If the computer technician works for 2 hours, what will be the cost?
$75
$90
$55

Answers

Answer:

90

Step-by-step explanation:

To solve this problem we need to set up an expression

35x+20

35 is the cost per hour, and 20 dollars is the visit fee.

x is the amount of hours the CT can work

So if we plug in the amount for the number of hours from the problem we get

35(2)+20

Which becomes 70+20 which is 90.

Hope thsi helps!

The computer technician works for 2 hours will take total charges equal to $90 .

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7

According to the question

The computer technician charges $20 per visit plus $35 per hour.

i.e

Let hours he work = x

therefore,

Total charge of computer technician in equation = 20 +  35x  

Now,

As the computer technician works for 2 hours the cost will be

By using equation

Total charge of computer technician in dollars  = 20 + 35x  

where x = 2

so,

= 20 +  35*2  

= $90  

Hence, the computer technician works for 2 hours will take total charges equal to $90 .  

To know more about equation here:

https://brainly.com/question/10413253

#SPJ2

Helpppp please!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

tan&= 2/5(p/b)

here,

p=2,b=5

cot&=b/p

=5/2

is the measure of how much the values in a data set vary, or deviate, from the mean; it tells us how spread out the data is from the mean.

Answers

Answer:

Standard deviation

Step-by-step explanation:

The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.

22/100 simplist form

Answers

Answer:

11/50 is the simplified form of the given expression.

Step-by-step explanation:

22/100

We will cancel the values by the table of 2

11/50 is the simplified form of the given expression.

Hope it will help you :)

11/50

22 divide 2 = 11
100 divide 2 = 50

Answer for both pleaseeeeeeeeeee

Answers

Answer:

0 and yes

Step-by-step explanation:

Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.

Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.

If a is divisible by 6 it is also divisible by 3 which when added to 12 which is also divisible by 3 will result in a number divisible by three which means remainder will be 0

if n is divisible by 3, m is divisible by 2 then n.m + 12 will always be divisible by 2 because any number multipled by a number mutiple of 2 will be always divisible by 2 and when 12 added to it will also be divisible by 2.

Must click thanks and mark brainliest

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