If EF =9x+17 , FG = 35 , and EG=196 , find the value of x

Answers

Answer 1

EF + FG = EG
9x +17 + 35 = 196
9x + 52 = 196
9x = 144
x = 16

answer
x = 16

hope it helps

Answer 2

The required simplified value fo x is 16 in the expression of the line segment.

Given that,
If EF =9x+17 , FG = 35 , and EG=196 , find the value of x is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here
EG = 196
EF + FG = 196
9x + 17 + 35 = 196
9x + 52 = 196
9x = 196 - 52
9x = 144
x = 144/ 9
x = 16

Thus, the required simplified value fo x is 16 in the expression of the line segment.

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Related Questions

Find the percent of decrease. 140 to 84.

Answers

decrease = 140 - 84 = 56

% decrease = 56/140 × 100 = 40%

Okay. So we subtract 84 from 140. 140 - 84 is 56. Then, we do 56/140, which gives us 0.4. Multiply 0.4 and 100 you get 40. There is a 40% decrease from 140 to 84.

Find the measure of each complementary angles with measure 4x and 5x - 18 degrees

Answers

hello :
sum of complementary angles is : 90°
(4x)°+( 5x - 18)° = 90°
(9x)° = 108°
x° = 12°
the angles are : 48° and : 42° ( subsct x= 12° in (4x)° , ( 5x - 18)° )

what is the x an what is the slope of angle lmn

Answers

since line MO bisects, that means both angles are the same

6x-22 = 2x +34

6x = 2x +56

4x=56

x = 56/4 = 14

x=14

6(14)-22 = 62

2(14)+34 = 62

62+62 = 124

angle LMN = 124 degrees

Use your calculator to find an interval of length 0.01 that contains a root. (enter your answer using interval notation.)

Answers

Given a function, if you suspect a root lies near a specific point on the number line, you can evaluate the function at several nearby values and see whether the evaluation is positive or negative. Using a calculator, you should find two real numbers that are at distance 0.01 from one another, such that one real number evaluates positive, and the other evaluates negative. Then the interval between these values contains a root.

in the problem 4 times 12 equals 48 which numbers are the factors

Answers

4 and 12 are the factors

The point (4,-3) lies on the circle centre (-2,5). Find the radius of the circle

Answers

General equation of a circle:
(y-k)² + (x-h)² = R², where h and k are the center of the circle, which is O(-2,5)

(y-5)² + (x + 2)² = R², but this circle passes through (4,-3). Then:

(-3 - 5)² + (4+2)² = R²

64 + 36 = R²

R² = 100 and R = 10

The radius of the circle with the given coordinates is 6.32 units.

What is the circle?

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Given that, the point (4,-3) lies on the circle center (-2,5).

Using distance formula we can find the radius of a circle

We know that, Distance =√[(x2-x1)²+(y2-y1)²]

Now, radius =√[(-2-4)²+(5-(-3))²]

=√[(-6)²+(2)²]

= √36+4

= √40

= 6.32 units

Therefore, the radius of the circle is 6.32 units.

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type the slope intercept equation of the line that passes through the point (1,1)&(7,4) enter fraction in simplest form

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 1}}\quad ,&{{ 1}})\quad % (c,d) &({{ 7}}\quad ,&{{ 4}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{4-1}{7-1}\implies \cfrac{3}{6}\implies \cfrac{1}{2}[/tex]

[tex]\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-1=\cfrac{1}{2}(x-1)\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form} \\\\\\ y-1=\cfrac{1}{2}x-\cfrac{1}{2}\implies y=\cfrac{1}{2}x-\cfrac{1}{2}+1\implies y=\cfrac{1}{2}x+\cfrac{1}{2}[/tex]

Evaluate the function for x = –4c if c = –2.

f(x) = -3^2 - 4x
A.
–160
B.
–256
C.
–224
D.
160

Answers

x = –4c
if c = -2 then x = -4(-2) = 8

I believed you had a typo, function should be f(x) = -3x^2 - 4x
so
f(x) = -3x^2 - 4x
f(x) = -3(8^2) - 4(8)
f(x) = -3(64) - 32
f(x) = -192 - 32
f(x) = -224

answer

C.
–224

Which mixed number is greater than 6.78?

A.6 2/7

B. 6 3/4

C. 6 7/9

D.6 4/5

Answers

D because D as a non-fraction is 6.8

Solve for x.

2/5≤x−4

Answers

2/5≤x−4
2/5+4<=x
22/5<=x

Please help!
Which of the following functions has the greatest y-intercept?

f(x)
x y
(−3, 9)
( −2, 4)
(−1, 1)
(0,0)
( 1, 1)
(2 ,4)

g(x) = 5 cos(3x) − 5

Answers

I just know that the answer is not f(x) by itself. I don't know if it's f(x) with g(x). Or not enough information

The answer is both. Desmos graphing calculator is a great tool if you don't have a calculator on you. Hope this helps!

What is the density of a 7000 gram brick that is 4 inches x 5 inches x 3 inches?

Answers

Since the formula for density is mass/volume and 60 inches =983.244 cubic centimeters the density is 7.1194

Malcom uses a marker to draw a straight line on a piece of paper. The line is 2/3 ft long. He wants to divide the line into sections that are each 1/9 ft long. How many sections will the line be divided into? please help ill mark brainliest

Answers

6. You can make 6 sections

Answer:

6 sections.

Step-by-step explanation:

Malcom uses a marker to draw a straight line on a piece of paper.

The line is [tex]\frac{2}{3}[/tex] feet long.

He wants to divide the line into sections of [tex]\frac{1}{9}[/tex] feet long.

The number of sections would be = [tex]\frac{\frac{2}{3}}{\frac{1}{9} }[/tex]

= [tex]\frac{2}{3}[/tex] × [tex]\frac{9}{1}[/tex]

= [tex]\frac{18}{3}[/tex]

= 6 sections

There would be 6 sections.

Find the constants m and b in the linear function f(x) = mx + b so that f(4) = 1 and the straight line represented by f has slope -14

Answers

The equations is f(x)=-14x-55
m=-14
b=-55

I checked my answer by plugging in (4,1) which was given.

Find f(-5) if f(x) = |x + 1|.

A.4
B.5
C.6

Answers

Replace the variables with the value we are given.

f(-5) = |-5 + 1|
f(-5) = |-4|
f(-5) = 4

So, when x is equal to -5, the output is 4.

if r is five less than three times L, then r=

Answers

r=L-3 it is just that simple do not overthink it

Answer: r=L-3

Step-by-step explanation:

the vertices of a parallelogram are j (-5,0) K(1,4), L(3,1) and M(-3,-3). How can you use slope to determine whether the parallelogram is a rectangle? is it a rectangle? Justify your answer.

Answers

Final answer:

To determine if the parallelogram is a rectangle, we can use the slopes of its sides. Given the coordinates of the vertices, we can calculate the slopes and compare them. If the opposite sides have equal slopes, then the parallelogram is a rectangle.

Explanation:

To determine if the parallelogram is a rectangle, we can use the slopes of its sides. A rectangle has opposite sides that are parallel and equal in length, so the opposite sides of a rectangle will have equal slopes.

Using the given vertices, we can find the slopes for the sides:

Slope of JK = (4 - 0) / (1 - (-5)) = 4/6 = 2/3

Slope of KL = (1 - 4) / (3 - 1) = -3/2

Slope of LM = (-3 - 1) / (-3 - 3) = -4/-6 = 2/3

Slope of MJ = (0 - (-3)) / (-5 - (-3)) = 3/(-2) = -3/2

Since the opposite sides JK and LM have equal slopes of 2/3 and the opposite sides KL and MJ have equal slopes of -3/2, we can conclude that the parallelogram is a rectangle.

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Suppose △ABC≅△EFG. Which congruency statement is true? AB¯¯¯¯¯≅FG¯¯¯¯¯ BC¯¯¯¯¯≅FG¯¯¯¯¯ AC¯¯¯¯¯≅EF¯¯¯¯¯ AB¯¯¯¯¯≅EG¯¯¯¯¯

Answers

A = E

B = F

C = G

Look for the equation which has the same placement. Your answer should be B) BC=FG

Answer: Second option [tex]BC\cong FG[/tex] is the correct option.

Explanation:

If two triangles are congruent then their corresponding sides are congruent.

In [tex]\triangle ABC[/tex] and [tex]\triangle EFG[/tex], AB, BC, and CA are corresponding to EF, FG and GE respectively.

Therefore, if [tex]\triangle ABC\cong \triangle EFG[/tex] then,

[tex]AB\cong EF[/tex],

[tex]BC\cong FG[/tex],

And, [tex]CA\cong GE[/tex]

Therefore, only second option is correct.

.....Simplify (8^4)^–16.

Answers

(8^4)^–16
= 8^-64
or
= 1 / 8^64

hope that helps

How do you write 11/ 4 as a percentage?

Answers

The answer is %225 First, we must convert the given fraction into a decimal number. So use a calculator or long division to convert the given fraction to a decimal number. In this case,

Now just multiply the equivalent decimal by 100 to convert it into a percent. So . Take note that we're simply moving the decimal point two spots to the right.

So the given fraction is equivalent to 275%

The frequency distribution shows the lengths, in inches, of available baseball bat at a batting cage. what is the mean of the frequency distribution? Baseball bat length| 27 28 31 33 34 F| 2 5 3 1 4

Answers

The given data is
Length, in : 27 28 31 33 34
Frequency: 2 5 3 1 4

The sample size is 2+5+3+1+4 = 15.
A plot of the data is shown below.

Calculate the mean
m = (27*2 + 28*5 + 31*3 + 33 + 34*4)/15 = 30.4

Answer: 30.4 in

Solve for x. 45(15x+20)−7x=56(12x−24)+6

Answers

The value of x is 559.5.

An algebraic equation can be defined as mathematical statement in which two expressions are set equal to each other.

To solve the equation [tex]$45(15x+20)7x=56(12x*24)+6$[/tex], follow these steps:

First, distribute the multiplication on both sides of the equation:

[tex]$45 \cdot 15x + 45 \cdot 20 - 7x = 56 \cdot 12x - 56 \cdot 24 + 6$[/tex]

[tex]$675x + 900 - 7x = 672x - 1344 + 6$[/tex]

Next, combine like terms on both sides:

[tex]$668x + 900 = 672x - 1338$[/tex]

Now, move all terms involving [tex]$x$[/tex] to one side and constants to the other side:

[tex]$668x - 672x = -1338 - 900$[/tex]

[tex]$-4x = -2238$[/tex]

To find [tex]$x$[/tex], divide both sides by [tex]$-4$[/tex]:

[tex]$x = \frac{-2238}{-4}$[/tex]

[tex]$x = 559.5$[/tex]

So, the value of x is 559.5.

Sam is a painter. He has 2 1/4 gallons of paint, and it takes 3/4 of a gallon to paint a room. How many rooms can he paint?

A.1
B.2
C.3
D.4

Answers

the answer is c . I hope I helped

How can I combine like terms ?

Answers

examples: 7x + 3x = 10x

example: 10x^2 + 10x ^2 + 5 + 15 = 20x ^2 + 20

hope this helps

Step-by-step explanation: To understand how to combine like terms, let's look at an example.

9c + 2c

The two parts of this expression, +9c and +2c, are called terms. The numbers in front of the variables, +9 and +2, are called coefficients.

Since the variables, c and c, are identical, the two terms in this problem are called like terms.

Like terms can be added together by simply adding their coefficients.

So in this problem, since 9 + 2 = 11, 9c + 2c is simply 11c.

How do i solve the square root of 54x^9y^6?

Answers

√(3x4y3)2⋅(6xy)3x4y32⋅6xyPull terms out from under the radical.3x4y3√6xy

√54x^9y^6 = √9√6√x^9√y^6
= 3x^4.5y^3√6

Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?

Answers

S1 = speed of boat 1

t1 = time to do 1400 meters (boat 1)

S1*t1 = 1400

S2 = speed of boat 2

1400 + S2*t1 = X

t2 = time to do X + 600 (boat 2)

S1*t2 = X + 600

S2*t2 = 2X - 600

S1 = 1400/t1

S2 = (X-1400)/t1

T = t2/t1

1400*T = X + 600

X*T - 1400*T = 2X - 600

X = 3600 meters

River is 3600 meters wide

Of a group of 500 people, 60 are fit enough to climb Mount Shasta in California. The group has 300 women and 200 men. 12% of the men are fit to climb the mountain. What is the probability that a person picked at random from the group is a male or is fit to climb Mount Shasta?

Answers

take 12 of 200 to determine amount of fit men

12% × 200 or .12 × 200

= 24

24 men are fit enough

so, since they are asking male + the amount of people fit enough, you must subtract the fit men from the fit people so you are not doubling the men

60 - 24 = 36

now add the fit people to the male group

so

36+200 = 236

so your answer is

236/500
118/250
59/125
47.2%

The probability that a person picked at random from the group is a male or is fit to climb Mount Shasta is 47.2%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Take 12 of 200 to determine the number of fit men,

Fit men = 12% × 200

Fit men = 0.12 × 200

Fit men = 24

Since they are asking males and the number of people fits enough, you must subtract the fit men from the fit people so you are not doubling the men

60 - 24 = 36

Add the fit people to the male group,

36+200 = 236

The probability will be calculated as,

P = 236/500

P = 118/250

P = 59/125

P = 47.2%

The probability is 47.5%.

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Andrew has 48 country CDs and 72 rock CDs. He wants to arrange them on shelves so that the two types of CDs are separate, but he wants the largest number of CDs on a shelf as possible. How many CDs should he put on each shelf?

Answers

Andrew should create shelves that hold 24 cd's each. This will accomplish two things - first, he will only need five shelves, which will take up limited space and distribute the weight load evenly on his wall. Secondly, while there will be 2 shelves of country cd's and 3 shelves of rock cd's,, there will not be an excessive amount on any one shelf, and he'll be able to find the cd he is looking for rather quickly.

The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base?

Answers

see diagram

so we got a right triangle

so for a right triangle, when we've got legs a and b and hytponuse c then
a²+b²=c²

so the legs are 90 and 90
hytponuse is distance from home to 2nd

so
90²+90²=c²
8100+8100²=c²
16200=c²
sqrt both sides
90√2=c
aprox
127.279ft
about 127ft

Assuming that the bases are all within right angles of each other:
Form a triangle with vertices at home base, first, and second. Home to first is 90ft and first to second is also 90ft.
Use the formula a^2+b^2=c^2 to find the the missing length.
90^2+90^2=c^2
8100+8100=c^2
16200=c^2
Sqrt(16200)=c
c=127.279

A right triangle has a hypotenuse of 50 feet and a leg of 14 feet. Which is the length of the other leg? 24 feet 30 feet 42 feet 48 feet

Answers

a^2 + b^2 = c^2....a and b are the legs and c is the hypotenuse
14^2 + b^2 = 50^2
b^2 = 50^2 - 14^2
b^2 = 2500 - 196
b^2 = 2304.....take sqrt of both sides, eliminating the ^2
b = sqrt 2304
b = 48 ft <=== the other leg

Answer:

The length of the other leg is 48 feet

Step-by-step explanation:

To find the length of the other leg, we will simply follow the steps below;

We will use the Pythagoras theorem formula to solve;

Write down the Pythagoras theorem formula

opposite² + adjacent² = hypotenuse²

Let the value of the other leg be x

From the question given;

hypotenuse = 50, a leg, say the opposite = 14

Lets substitute into our formula;

opposite² + adjacent² = hypotenuse²

14² + x² = 50²

196 + x² = 2500

subtract 196 from both-side of the equation

196 - 196 + x² = 2500 - 196

x² = 2304

Take the square root of both-side of the equation

√x² = √2304

x = 48 feet

The length of the other leg is 48 feet

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