The mid segment of the triangle is 5x-1. Find the value of x.

The Mid Segment Of The Triangle Is 5x-1. Find The Value Of X.

Answers

Answer 1

Answer:

The value of x = 6

Step-by-step explanation:

The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.

Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.

Mathematically it means:

[tex]5x-1\:=\:\frac{58}{2}[/tex]

solving to find the length of x

[tex]5x-1=29[/tex]

Add 1 to both sides

[tex]5x-1+1=29+1[/tex]

[tex]5x=30[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{30}{5}[/tex]

[tex]x=6[/tex]

Therefore, the value of x = 6


Related Questions

Estimate by rounding the largest number to hundreds and then divide.
869 ÷ 6 is approximately

Answers

Answer:

150

Step-by-step explanation:

Round: 869 → 900900 ÷ 6 = 150

I hope this helps!

Four identical right triangles whose sides measure 5x, 12x, and 13x are arranged to form a small square inside a large square, as shown. The perimeter of the large square is 17 units. What is the perimeter of the small square? Explain.

Answers

Answer:

The perimeter of the small square is approximately 9.154 units

Step-by-step explanation:

The given parameters are;

The sides of the four identical right triangles = 5·x, 12·x, and 13·x,

The perimeter of the large square = 17 units

Therefore, we have;

The hypotenuse side of the right triangles = The longest side = 13·x

The sides of the large square are formed by the hypotenuse sides of the right triangle

Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units

x = 17/52 ≈ 0.3269

x ≈ 0.3269 units

The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x

∴ The sides of the small square = 7·x = (7 ×  0.3269) units ≈ 2.2885 units

The perimeter of the small square = 4 × The sides of the small square

The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units

The perimeter of the small square ≈ 9.154 units.

What does (f+g)x mean?

Answers

Answer:

(f + g)(x) means f(x) + g(x)

General Formulas and Concepts:

Alg I

Function NotationCombining like terms

Alg II

Composite Functions

Step-by-step explanation:

(f + g)(x) is the number form of "f plus g of x", meaning that we add the functions f and g together respect to x.

Another way to write (f + g)(x) is f(x) + g(x), which is the number form of "f of x plus g of x", still meaning that we are adding the 2 functions together.

How do you name the median of this triangle?​

Answers

Answer:

F

Step-by-step explanation:

The median is always the letter in the middle

What is the answer to this question

Answers

Answer:

C

Step-by-step explanation:

Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.

The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.

PLEASE I NEED HELP
Factor out the coefficient of the variable.

The expression 3/8d+3/4 factored is

Answers

Answer:

9

Step-by-step explanation:

Can someone please help me it’s due in a few minutes.

Answers

Answer:

150

Step-by-step explanation:

go submit it

HELP PLEASE
I need to know a line that goes through (17,1/3) and (25 1/2,1/2) aka the slope

Answers

Answer:

0.16/8.5

Step-by-step explanation:

so to get the slope use (Y2-Y1) over (X2-X1)

this means that the formula is

1/2-1/3

---------

25.5- 17

A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it.a.) Find the probability of committing a type I error if 60% of the voters favor the increased tax.b.) What is the probability of committing a type II error using this test procedure if actually 48% of the voters are in favor of the additional gasoline tax?

Answers

Answer:

A) α = 0.04136

B) β = 0.00256

Step-by-step explanation:

We are given;

Sample size; n = 400

Proportion; p = 60% = 0.6

Formula for mean is;

μ = np

μ = 400 × 0.6 = 240

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.6 = 0.4

σ = √(400 × 0.6 × 0.4)

σ = √96

σ = 9.8

A) our null hypothesis is at p = 0.6

Probability of making a type I error means we reject the null hypothesis when it is true.

This can be expressed in reference to the question as;

α = P(x < 220) + P(x > 260) all at p = 0.6

Now,

P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04

Also;

P(x > 260) = z = (260 - 240)/9.8 = 2.04

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.

Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068

Thus;

α = 0.02068 + 0.02068

α = 0.04136

B) Type II error occurs when we fail to reject the null hypothesis even though it's false.

In this case our alternative hypothesis is at p = 48% = 0.48

Thus;

μ = np

μ = 400 × 0.48 = 192

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.48 = 0.52

σ = √(400 × 0.48 × 0.52)

σ = √99.84

σ = 9.992

Type II error would be given by;

β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]

β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]

β = (2.8 < z > 6.81)

Rearranging this gives us;

β = P(z < 6.81) - P(z < 2.8)

From z-distribution tables, we have;

β = 1 - 0.99744

β = 0.00256

In this exercise, we have to calculate the gasoline rates, and the answer will be:

A)[tex]\alpha= 0.04136[/tex]

B)[tex]\beta= 0.00256[/tex]

We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;

[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]

Standard deviation is given by;

[tex]\sigma= \sqrt{npq}[/tex]

Where:

[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]

[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]

A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:

[tex]\alpha= P(x<220)+P(x>260)[/tex]

Now,

[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:

[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]

Thus;

[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]

B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:

[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]

Standard deviation is given by;

[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]

Type II error would be given by:

[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]

Rearranging this gives us:

[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]

See more about statistics at : brainly.com/question/7412334

Help me plzzzzzzz I really need help

Answers

Answer:

41

Step-by-step explanation:

y = 4x + 21

y = 4 x 5 + 21

y = 20 + 21

y = 41

Answer:

The answer is 41

y=4x+21

Step-by-step explanation:

y=4x+21

y=4(5)+21

y=20+21

y=41

Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. (3.-5) and (2-2)
А. -3, falls
В. 1/3, rises
C. 3, rises.
D. -1/3, falls

Answers

Answer:

Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.

Step-by-step explanation:

The formula calculate to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given points (3,-5) and (2,-2) so,

[tex]x_1=3, y_1=-5, x_2=2, y_2=-2[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{2-3}\\Slope=\frac{-2+5}{1}\\Slope=3[/tex]

So, Slope of line having points (3,-5) and (2,-2) is 3 and since the slope is positive do it rises. Option C is correct option.

What statement is true about DCB and ACF

Answers

both angle are equal

DCB is equals to FCA

This table shows a linear relationship.

x 6 7 8 9 10
y 17 19 21 23 25
Based on the information in this table, which equation can be used to model the relationship between x and y?

y = 2x + 5

y = 5x

y = 2x

y = 5x + 2

Answers

Answer:    I think it's A. But I'm not entirely sure,

Step-by-step explanation:

Answer:

its y=2x + 5

explanation:

I took the test and got it right

Write an equation of the line in slope intercept form that passes through (0,4) and (-3,-8)

Answers

Answer:

y=4x+4

Step-by-step explanation:

The equation for the slope-intercept form is y=mx+b. m is the slope and b is the y-intercept. To find the slipe we can use the equation m=y2-y1/x2-x1, next decide which one you want as x1,y1, and which one as x2,y2 (doesn't really matter which one you choose.) I then plugged in my value and got the equation -8-4/-3-0=m=4. so far we have y=4x+b. b is our y-intercept which they already have us, which is 4 so we just have to plug it in and get our answer y=4x+4.

Hope this helps you


Please help me find the missing length

Answers

Answer:

The tower is 48 ft tall.

Step-by-step explanation:

Refer to the figure attached.

Triangle ACD is similar to triangle BCE.

This means the proportion to some sides is the same, for example:

[tex]\displaystyle \frac{CE}{CD}=\frac{BE}{H}[/tex]

Substituting the values:

[tex]\displaystyle \frac{8}{64}=\frac{6}{H}[/tex]

Multiplying by 64H:

[tex]8H=64*6[/tex]

Dividing by 8:

[tex]H=64*6/8=48[/tex]

The tower is 48 ft tall.

find the slope

13. y=-x+0
14. y=(7/14)x+2
15. y=(2/4)x+1
16. y=3x-4

Answers

Slopes:

13) -1
14) 7/14
15) 2/4 or 1/2
16) 3

solve the equation
1.2²(4a-8)=16

Answers

Answer:

I would love to help you because you are my favorite follower. But I do not know the answer. Sorry I feel very guilty

Answer:

Step-by-step explanation:

Using the similar triangles, which equation could be used to find the slope of line AB?

A)slope=p/q

B)slope=q/p

C)slope=n/m

D)slope=q/n

Answers

Answer:

A) slope = p/q

Step-by-step explanation:

Slope of any given can be found using the formula, [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex].

In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.

This means, slope of line AB would be:

[tex] \frac{rise}{run} = \frac{m}{n} = \frac{p}{q}

[/tex].

✅Therefore, slope of line AB = p/q

1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.

Answers

Answer:

y=2x

Step-by-step explanation:

Find the slope pls help !!!

Answers

Slope is the change in y over the change in x.

therefore from dot to dot on the graph, it moves down 3 and over 5.

change in y = 3
change in x = 5

Answer: 3/5

(2,-4), (x,\ y), A, and B all lie on the line. Find an equation relating x and y.

Answers

Answer:

I can't see the picture, sorry. :(

Step-by-step explanation:

Answer:

y=3/4x-5.5

Step-by-step explanation:

y=mx+b

B=starting point 5.5

x= variable

M=slope 3/4

Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.

Answers

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

Which of the following is the solution of the system of equations shown

Answers

Answer:

(3,-4)

Step-by-step explanation:

because the two lines meet at that point.

Anyone know how to do this, I’m lost!

Answers

X=60

Total angle degree for a parallelogram is 360 degrees
The angles added up is 6x
So 6x=360
X=60

The 4 angles inside EVERY 4-sided figure ALWAYS add up to 360 degrees.

Now you have been found !

A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop.

Which point represents the fourth bus stop?

A.
(11, 8)

B.
(13, 12)

C.
(15, 10)

D.
(19, 12)

Answers

Answer:

Y then X

Step-by-step explanation:

cause I know

Answer: C bc i think

1 point
1) Taylor and her family took a road trip. She explains that the equation y =
60x describes the proportional relationship between the number of miles,
y, her family traveled, to the number of hours, x, the trip took. Which
statement represents the same proportional relationship? *

Taylor's family traveled 50 miles in 1 hour.

Taylor's family traveled 120 miles in 2 hours.

Taylor's family traveled 180 miles in 4 hours.

Taylor's family traveled 200 miles in 5 hours.

Answers

Answer:

120 miles in 2 hours

Step-by-step explanation:

120 = 60(2)

how you to transform a polynomial equation in standard form? state some steps

Answers

Answer:

A very common way to transform a polynomial equation in standard form is usually by writing a polynomial in its standard form.

This is mainly achieved by checking the degree of the terms involved and writing them in the order of degree which should follow the pattern of from highest to lowest, left to right.

Why do people pretend they have depression, Depression is not something to joke about

Answers

Answer:

they want more attention than they already have,or they think its funny

Step-by-step explanation:

Answer:

It seems like most people joke about depression for attention.

Step-by-step explanation:

There are 500 students in the 8th grade. Three percent were absent Friday. How many 8th graders were NOT absent Friday?

Answers

Answer:

485

Step-by-step explanation:

500/100=5

5*3=15

500-15=485

Hope this helps;)

Answer:

485

Step-by-step explanation:

Can you solve?
|x+5|=12
What is the answer please

Answers

Split the equation
x + 5 = 12
x = 7
X + 5 = -12
x = -17
The answer is 7 and -17
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