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

What is 12.18 x 103 =

Answers

Answer:

1,254.54

Step-by-step explanation:

Answer:

1,254.54

Step-by-step explanation:

¿Cuáles son los términos de la expresión
algebraica 5p + 4?
A: 4
B: 5p
C: +

Answers

Answer:

A, B

Step-by-step explanation:

Los términos están separados por +, -, / o x.

PLEASE HELP WITH GEOMETRY

Answers

Answer:

acute triangle

Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.

SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)

Answers

Answer:

17 / 8

Step-by-step explanation:

sec A = [tex]\frac{1}{cos A}[/tex]

cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]

What is the y intercept of y= -3x-2

Answers

(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)

Answer:

-2

Step-by-step explanation:

we always know that the y intercept is after the x part. for example, if it was

y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign

Solve the equation 186+10x=25.5x to find how many diving lessons


__ lesson(s)

Answers

Answer: x=12

Steps shown in image below:

Which hourly interval had the least rate of change?

Answers

Answer:

hour 3 to hour 4

Step-by-step explanation:

that is where the slope is the least steep

Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin

Answers

Answer:

30

Step-by-step explanation:

Work backwards:

6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30

Check your work:

2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys left

Park rangers at a game preserve in Africa observed a cheetah run 3

3

5

miles in

1

20

hour. What was the cheetah’s speed in miles per hour (mph)?

A.

9

50

mph

B. 5

5

9

mph

C. 72 mph

D. 92 mph

2

Among other ingredients, a recipe for paella calls for

3

4

pound of chorizo and

1

2

cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?

A.

3

10

pound of chorizo per cup of rice

B.

8

15

pound of chorizo per cup of rice

C. 1

7

8

pound of chorizo per cup of rice

D. 3

1

3

pound of chorizo per cup of rice

3

Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown

2

3

foot in

3

4

year. What is the tree’s growth rate in feet p

Answers

Answer:

Cheetah's speed = 2.79 miles per hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 335 miles, Time = 120 hours

So, speed = 335 / 120

Speed = 2.79 mph

What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?

A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25

Answers

Answer:

3.75

Step-by-step explanation:

2.5x-.75=1.5x+3

x=3.75

Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.

A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13

Answers

Parallel= same slope
Y = 4x + b
Plug in the point
5 = 4(-2) + b
5 = -8 + b
b = 13
It would be D. Y= 4x+13

Could someone give me some input on why in part B 10 to the power of 3 is included in the equation to obtain the answer 1.47 x 10 to the power of 11

Answers

Answer:

10^3 = 1000. Look at the question carefully. it says the speed is in meters per second while your distance is in kilometers so yeah need to multiply by 1000



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:a

Step-by-step explanation:

When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°

angle of depression. How far away was Ren from her family (ground distance)? Round to the

nearest tenth of a meter.

Write answer like this: ##.# m.

(5 Points)

Enter your answer

Answers

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = [tex]90^{o}[/tex] - 20°

                             = [tex]70^{o}[/tex]

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]

⇒ x = 10 x Tan [tex]70^{o}[/tex]

      = 10 x 2.7475

      = 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

trying this again not sure if it went through the first time

Answers

The picture is really blurry for me. I can't read it...

A sandwich is 5 1/2 feet long and divided into 1/2 foot pieces. How many pieces of sandwich are there?

Answers

Answer:

11

Step-by-step explanation:

Answer:

11 sandwich pieces

Step-by-step explanation:

Find the measure of each angle (help me please)

Answers

Answer:

<1=39 degrees

<2=141 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps:)

plz mark as brainliest

Answer:

x-38+x+64=180(supplementry angle)

2x+26=180

2x=180-26

2x=154

x=154÷2

x=77

Again,1st angle

x-38

77-38

39

2nd angle,

x+64

77+64

141

Pls Help.!!
Find the areas of the following: A square with a width and height equal to 5 feet.​

Answers

Answer:

A = 25 ft²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

A square has all equal sides and anglesArea of a Square: A = x²

Step-by-step explanation:

Step 1: Define

x = 5 ft

Step 2: Find Area

Substitute in x:                    A = (5 ft)²Evaluate:                              A = 25 ft²

DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of t representing the charge remaining in series battery as percentage t hours after Sara left her house

Answers

Answer:

b=80-8t

Step-by-step explanation:

"b" represents the charge remaining

"t" represents the number of hrs that have passed.

"80" is the reference we will be subtracting the hours from.

"8" is the percentage per hour we will be subtracting

therefore, the equation b=80-8t would solve for the remaining battery after "t" number of hours.  

B=80-8t
Hope this helps

slope of points (-11,5), (-6,0)

Answers

Slope (y2-y1)/(x2-x1)
(0-5)/(-6+11) = -5/ 5 = -1
The slope is -1

Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)

Answers

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

the answer is D

17) When filled to maximum capacity, a silo can hold about 4,000 cubic meters of corn. The radius of the silo is 8 meters. To the nearest meter, what is the approximate height (h) of the silo? ​

Answers

Answer: ion know i'm guessing 4

Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there

Answer: It would be 20

Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers

You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that
represents how many minutes you can spend per problem.
HURRY PLEASE

Answers

Answer:

one min

Step-by-step explanation:

Answer: 2 minutes

20/10=2

Evaluate -8 - 21.
-10
-16
16
10

Answers

Answer:

Evaluate -8 - 21.

-10

-16

16

10

What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero

Answers

Answer:

The correct option is;

A vertical line can be represented using a table but not a function because the slope is undefined

Step-by-step explanation:

A function, f(x), representing a linear relationship can be presented as follows;

f(x) = m·x + c

Where;

m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)

c = The y-intercept

Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =

Therefore;

The slope of a vertical function, m =  (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;

f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined

1
Robert climbed 775 steps in 12 minutes.
2
How many steps did he average per minute?

Answers

Answer:

64 and 1/3 steps

Step-by-step explanation:

Answer:

775 / 12 = 64.5833...

Step-by-step explanation:

Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.

Answers

Answer:

p÷3=h

My logic:

if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.

Hope this helped!

Write a rule for the translation of ABC to A' B' C'

Answers

Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

Solve the system of equations:

3x-3y = -15
and
-x+y = 5

Answers

Answer:

x=0 y=5

trust me I think its right

Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.

Answers

Answer:

4/15 < 5/16

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

Step-by-step explanation:

Given the unit rates :

C: 1/5 cup for 3/4 serving or Ingredient

D: 1/4 cup for 4/5 serving

C : 1/5 cup for 3/4 serving

1/5 ÷ 3/4

1/5 * 4/3

= 4 / 15

= 0.2667

D: 1/4 cup for 4/5 serving

1/4 ÷ 4/5

1/4 * 5/4

= 5 / 16

= 0.3125

5/16 > 4/15 ;

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

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