50 points! Describe the possible values of x in the figure shown. I will mark brainliest

50 Points! Describe The Possible Values Of X In The Figure Shown. I Will Mark Brainliest

Answers

Answer 1

Answer:

x > 14

Step-by-step explanation:

Use the triangle inequality which states that for any triangle, the sum of the lengths of any two sides must be greater than to the length of the remaining side.

FH < FG + GH ⇒ 2x + 31 < 2x + 1 + x + 16 ⇒ x > 14FG < FH + GH ⇒ 2x + 1 < 2x + 31 + x + 16 ⇒ x > - 46GH < FH + FG ⇒ x + 16 < 2x + 31 + 2x + 1 ⇒ x > - 16/3

Combine the above three inequalities:

x > 14
Answer 2

Answer:

[tex]x > 14[/tex]

Step-by-step explanation:

By triangle inequality;

[tex]2x + 1 + x + 16 > 2x + 31 \\ 2x + x - 2x > 31 -17 \\ x > 14[/tex]

The possible values of x is any number above 14, that is, x=[ 15, 16, 17, 18, .....}, if x is integer.


Related Questions

Multi answer inequality! Please help and comment only if you know!

Answers

Answer:

-8, 0, and -12

Step-by-step explanation:

Using -7 would get you 8. Using -5 would get you 4

Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U.S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage.


What does it mean in this situation if the average rate of change is negative?
a.
It means that the median age of a man at the time of his first marriage is increasing.
b.
It means that the median age of a man at the time of his first marriage is decreasing.
c.
It means that the median age of a man at the time of his first marriage has a constant rate of change.
d.
There is no way to determine the average rate of change in this situation.

The Answer is D

Answers

Answer:

If the average rate of change in the data is negative, based on the variables analyzed;

b. It means that the median age of a man at the time of his first marriage is decreasing

Step-by-step explanation:

The given data is presented as follows;

Year;        [tex]{}[/tex]       1910, 1920, 1930, 1940, 1950, 960, 1970, 1980, 1990, 2000

Median Age; [tex]{}[/tex] 25.1,   24.6, 24.3,  24.3,  22.8, 22.8, 23.2, 24.7, 26.1,   26.8

The date points are plotted on a graph using Microsoft Excel

[tex]The \ average \ rate \ of \ change = \dfrac{The \ change \ in \ the \ median \ age}{The \ corresponding \ change \ in \ years \ (always \ +ve)}[/tex]The corresponding change in years, Δx, is positive because, we have;

Δx = x₂ - x₁ = Higher year - Previous year

Therefore, for a negative average rate of change, we have;

[tex]The \ average \ rate \ of \ change = -ve = \dfrac{The \ change \ in \ the \ median \ age}{+ve}[/tex]

∴ The change in the median age, Δy = +ve × (-ve) = -ve (negative)

Δy = -ve

∴ Δy = Median age for higher year - Median age for previous year = -ve

Median age for higher year = -(y) + Median age for previous year

Where 'y' is positive  

∴ Median age for subsequent year < Median age for previous year

Therefore, if the average rate of change is negative, the median age of a man's first marriage is decreasing

Answer:

D

Step-by-step explanation:

took the test

Erin buys a bag of peanuts that weighs 3/4 of a pound later that week the bag is 2/3 full how much dose the bag of panuts wiegh now

Answers

Answer:

1 ÷ 2 pounds

Step-by-step explanation:

The computation is shown below:

As we know that

1 pound = 0.454 Kg

Peanut starting weight = 3 ÷ 4 of a pound.

In the case when  the bag is 2/3 full, so the weight is  

= 2 ÷ 3 × 3 ÷ 4

= 1 ÷ 2 pounds

A soccer team played 24 games and won 75% of
those games. How many games did the soccer
team win?

Answers

The answer to this question is 18 wins

Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
26 ft
1
8 ft
18 ft
a. 61.88 ft
b. 52.94 ft
C. 47.46 ft
d. 50.92 ft

Answers

I’m pretty sure it’s b

Answer:

Its A 61.88ft

Step-by-step explanation:

just took the test edge 2021

(7-6i)(7+6i) please show me how you got the answer step by step thankkksss

Answers

Answer:

Just cross multiply

48+42i-42i-36i

then your final answer is: 48-36i

(7-6i)(7+6i)
Multiply the 7^2=49
Multiple the 6^2=36
49-36i
The i will count as a 1
49-36x1
36x1=36
49+36=85

Does anyone know how to do this?

Answers

Answer:

Slope intercept form is y = mx + b

m is slope

b is y intercept

y = -4/5x + -9

I only know that first one sry

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation:

slope intercept form is y=mx+b

b is the y intercept, m is the slope, and x is x.

for

1. it would be

y= -4/5x -9

2. You take the points and do (y2-y1) DIVIDED BY (x2-x1)

it would look like:

(5- -3) / (3-0) = (8/3)

Then plug in one of the sets of numbers for x and y, to get y intercept.

5=8/3(3)+b

b=-3

So.. slope intercept would be y=8/3x -3

3. Hessa is building a scale model of a park. She uses a scale of 12 cm to represent 1.5 m. a) The actual length of the bridge is 20 m. What is the length of the model bridge? b) In the model, the height of the climbing frame is 10 cm. What is the actual height of the frame?

Answers

Answer:

160cm

80cm

Step-by-step explanation:

If 12cm = 1.5m

convert cm to meter

1 meter = 12/1.5 = 8cm

20m = 20m x 8 cm = 160 cm

10cm = 10 x 8 = 80cm

Two angles in a triangle measure 1020 and 670. What is the measure of the third angle?
110
780
ООО
1130
1699

Answers

Answer:

A) 11°

Step-by-step explanation:

All triangles equal 180, so:

102 + 67 + x = 180

169 + x = 180

x = 11

Two Trains, Train A and Train B, weigh a total of 282 tons. Train A is heavier than Train B.
The difference of their weights is 210 tons. What is the weight of each train?

Answers

Answer:

Train A weighs 318

Train B weighs 108

Step-by-step explanation:

5+6 Lol I wanna help.

Answers

Answer:

11

Step-by-step explanation:

5+6 = 11


Does it typically rain more in the United States or in Brazil?

Choose 1 answer:

Statistical

Not statistical

Answers

Answer:

I believe not statistical.

Step-by-step explanation:

Please help me with this I domt understand ​

Answers

Answer:

its A

Step-by-step explanation:

it is linear because this is happening every day, and it is negative because 1/2 is being removed every day

Help now asap!
The stack consists of five rows of boxes that are all the same size.

Answers

Answer:

Option (a) 55

Step-by-step explanation:

No. of boxes=1²+2²+3²+4²+5²=55

What is BC? Plz help

Answers

Answer and Step-by-step explanation:

To find the length of BC, we will be using the trigonometric function Sine.

The Sine trig function is as follows:

sin(θ) = [tex]\frac{Opposite Side}{Hypotenuse}[/tex]

Plug in the values and solve for the Hypotenuse (BC)

[tex]sin(45) = \frac{8}{x}[/tex]

Multiply x to both sides, then divide both sides by sin(45).

x = [tex]\frac{8}{sin(45)}[/tex]

Input into a calculator and solve.

The length of BC is [tex]8\sqrt{2}[/tex], or 11.3137.

#teamtrees #PAW (Plant And Water)

A Japanese bullet train travels 558 miles in 3 hours.

A.Whatbis the rate?
B.How far does the train travel in one hour. I really need the answers plz help.

Answers

Answer:

the rate is 186/1

and it travels 186 miles in 1 hour

Step-by-step explanation:

558/3

to get miles per hour

186/1

(that is what you get when you divide)

.COM/VIDEOS
Question 1
1 pts
Flour comes in two different sized bags. The 25 lb bag sells for $14 while the 10 lb bag sells for
$5.50. Which is cheaper and by how much? (compare unit rates)
Smaller bag is cheaper by 50.10 per pound.
O Larger bag is cheaper by $0.01 per pound.
Larger bag is cheaper by $0.10 per pound.
Smaller bag is cheaper by $0.01 per pound.

Answers

Answer:

the 10 pound bag by $0.10 per pound


Given the two points (-12, 18) and ( 24, -54) what is the slope?

Answers

Answer:

Slope = -2

Step-by-step explanation:

Use the equation to find a slope:

y2-y1/x2-x1 = slope

-54 - 18 = -72

24 - (-12) = 36

-72/36= -2

2. help me i will give u brainliest

Answers

Answer:

the 1st one

Step-by-step explanation:

I passes it in the quiz

Please help me solve this answer! :)

Answers

Answer:

2,912 People

Step-by-step explanation:

12% of 2,600 is 312

add 312 to 2,600

end up with

2,912 People

Answer:

2,912 is the amount of people (population)

Step-by-step explanation:

12% of 2,600 = 312

so

2,600 + 312 = 2,912

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

The circumference of a circle is m. What is the area , in square meters ? Express your answer in terms of pi

Answers

Answer:

area = m²/2π

Step-by-step explanation:

∵ circumference of circle = 2πr = m

∴ r = m/2π

∵ area of circle = πr²

∴ area of circle = (m/2π)² × π = m²/2π² × π = m²/2π

hope this helps

what is the answer to x + 12=7 solve for x

Answers

The answer is -5
7-12=-5

Answer:

x+12=7

x=7-12

x= -5.........

What happens to the value of the expression b-1b−1b, minus, 1 as bbb increases?

Answers

Answer:

the answer is A It increases.

that's the right answer go add me snap cutegirllove17

Step-by-step explanation:

have a good day

what is the y intercept of h(t)=-5t^2+30t+10

Answers

Step-by-step explanation:

Note:-It is a long explanation please forgive me for that

Answer:

(0,10)

Step-by-step explanation:

i used the demos calculator

which expression would be easier to simplify if you used to commutative property to change the order of the numbers?
A. 75.5 + 5.5 + (-125)
B. ( - 1/5) + 2/5 + ( - 1/2 )
C. 140 + 60 + 17
D. ( - 130 ) + 42 + ( -20)

Answers

The answer is C because it is the easiest

Answer:

D

Step-by-step explanation:

I'm stuck... what is the answer to this equation?


3p + 2 ≥ -10

Answers

p> 8/3 hope that helps :)

Help me please !!!!! I need help

Answers

10 percent of 300 is 30

3 hours and 10 minutes =190

Over what interval is the function in this graph increasing

Answers

Answer:

C. -4 <= x <= 1

Step-by-step explanation:

The function increases where the slope of the line is up to the right, a positive slope. That only happens in the interval -4 <= x <= 1.

Answer: C. -4 <= x <= 1

A number when divided by 5 gives 0 as remainder, that number when divided by 7 gives 0 as remainder also. What will be the remainder when that number is divided by 35?

Answers

Answer:

zero

Step-by-step explanation:

The computation of the remainder when the number would be divided by 35

Let the number be x

So if x is divided by 5 gives the remainder 0

x = 0

And, if x is divided by 7 gives the remainder 0

x = 0

So if x is divided by 35 so the remainder is also zero



A special packet of breakfast cereal contains 20% more than a normal packet. The special packet contains
600 g of cereal. How much cereal does the normal packet contain?
I​

Answers

Answer:

480 g of cereal ...........

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