XYZ is a triangle in which XY = 11 centimeters and YZ = 15 centimeters. The length of XZ is in whole centimeters and is greater than 20 centimeters. What are the possible lengths of XZ?

Answers

Answer 1

Answer:

Possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]

Step-by-step explanation:

According to triangle inequality theorem,

length of one side is less than the sum of remaining two sides.

Also,

[tex]XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm[/tex]

Therefore,

[tex]20<XZ<15+11\\20<XZ<26[/tex]

The length of [tex]XZ[/tex] is in whole centimeters.

Therefore, possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]


Related Questions

Help ASAP! ill mark brainliest if correct

Answers

Answer:

fourth option

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{15+16+21+23+25+25+25+39}{8}[/tex]

        = [tex]\frac{189}{8}[/tex]

       = 23.6 ( to 1 dec. place )

The median is the middle value of the data set. If there is no exact middle then it is the average of the values either side of the middle.

15  16  21  23  25  25  25  39

                    ↑ middle

median = [tex]\frac{23+25}{2}[/tex] = [tex]\frac{48}{2}[/tex] = 24

The mode is the value that occurs most often, that is 25

Thus

mean = 23.6 , median = 24 , mode = 25

Write the words for:

(3/4 - 1/5) x 4:

Answers

Answer:

three-forth minus one-fifth times four

Step-by-step explanation:

Answer:

Step-by-step explanation:

Third -fourth subtracted from one-fifth multiplied by four

1. Which of the following is a right triangle?
A.A piece of steel with sides 2 meters, 4 meters, and 5 meters,
B.A stained-glass window with sides 8 inches, 15 inches, and 20
inches.
C.A garden with sides 12 feet, 34 feet, and 37 feet.
D.ceramic tile with sides 20 centimeters, 21 centimeters, and 29
centimeters.

Answers

Answer:

c

Step-by-step explanation:

Answer:

D 20,21,29

Step-by-step explanation:

can someone help if you could that would mean so much to me

Answers

The answer is 15 you have to do 3x5=15 hope that helps ☺️

Answer:

A) 6 square meters

Step-by-step explanation:

To find the area of a triangle you must multiple the base and the height, but in this question the base isn't given. Using the Pythagorean theorem to find the base you get 4 as the base. Now you multiply 3 and 4 to get 12 (square area), then divide it by two and get 6 (triangle area)

Steps:

b^2 = 5^2 - 3^2

b^2 = 16

[tex]\sqrt{b} = 4[/tex]

3*4 = 12

12/2 = 6 square meters

Help plz due in 15mins

Answers

Answer:

48=%60 x w    

80=w

Step-by-step explanation:

48=%60 x w    

48=60/100 x w

w=48 x 100/60

w=48 x 100 divided by 60

w=80

Answer:

80

Step-by-step explanation:

part = percent × whole

48 = 0.6 × w

0,6w = 48

w = 80

find the 50ty term if the nth term is 5n-3

Answers

Answer:

247

Step-by-step explanation:

From the question given above, the following data were obtained:

nth term (Tₙ) = 5n – 3

Number of term (n) = 50

50th term (T₅₀) =?

The 50th term can be obtained as follow:

Tₙ = 5n – 3

T₅₀ = 5(50) – 3

T₅₀ = 250 – 3

T₅₀ = 247

Therefore, the 50th term is 247.

Question 21 of 45 If x + 2/7x = 9, then x = ?

Answers

i partly sure it’s x=7

Write the explicit formula for the sequence 3, 9, 15, 21..

Answers

Answer: pls check out the image. The answer is in the image. Hope this helps n can u give me brainliest

Step-by-step explanation:

Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((

Steve started with $250 and spent $20 per week. Chelsea started with nothing but saved $30 per week. Use x for time and y for savings.

Write an equation to represent Steve's situation.

Answers

Answer:

[tex]250 - 20x=y[/tex]

Step-by-step explanation:

As per the given problem, Steve starts with $250, and spent $20 a week, the problem mentions nothing about Steve's savings, therefore, one can assume that they didn't save anything. As the problem requests, parameter ([tex]x[/tex]) will be used for the time, and ([tex]y[/tex]) for the savings.

Steve's saving would be equal to his initial value, minus his expense, in essence;

[tex]250 - 20x=y[/tex]

The initial value, minus the amount spend per week multiplied by the week number will equal the savings left.

Answer:

y=250-(20x)

Step-by-step explanation:

A type of electric car can travel 3 miles on 1 kilowatt hour of electricity. How many kilowatt hours of electricity would it take to drive electric car to ​'s house and​ back? Lives miles from .

Answers

Answer:

Question is incomplete so I'll use a reference.

Assume the person whose house the car went to is 21 miles away.

The car would have had to go back and forth so the total distance spent would be:

= 21 + 21

= 42 miles

The car uses 1 kilowatt hour to go 3 miles. Now it has to go 42 miles.

The number of kilowatt hours it will need are:

= Distance / distance per kilowatt hour

= 42 / 3

= 14 kilowatt hours

School wants to add a new sports team the school Saint out surveys asking for the students favorite sport 16 students name volleyball others named swimming or lacrosse use pencil and paper explain how to use the circle graph and ratios to find the number of students surveyed then find this number 

Answers

Answer:

.

Step-by-step explanation:

What is GCF of 5p^4+4p^2?

Answers

Answer:

p^2

Step-by-step explanation:

Will give brainiest to correct answer with explanation

3. Nancy ran 26 miles in 8 hours. If she ran at a constant rate how many miles did she run in
3 hours? (Hint: Set up an empty proportion)

Answers

Answer:

Multiply your pace by your distance. if your pace is 9.5 minutes per mi x 3 mi = 28.5 minutes = 28 minutes, 30 seconds

Can you someone me, please!!! :0

Answers

44:56

im probably wrong im so sorry

What is 64x12 – 1,000 written as a difference of cubes?

Answers

64x12-1,000 written as a difference of cubes is (4x4)3-103

ALGEBRA 2 HELP!!!!!!!!

Answers

Answer:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

Step-by-step explanation:

domain: (-∞ , ∞) ; range: f(x) ≥ 3

find the area of the following Circle in estimate form​

Answers

Answer:

924.72 yards²

Step-by-step explanation:

The maxwell family went out to dinner.The price of the meal was $64.20. They left a 15%tip,what is the total cost of the meal including tip?​

Answers

Answer: The sales tax on the meal is 6%, and the family leaves a 20% tip. What is the total cost of the meal? Please answer with whole number or decimal. Linda C. answered • 01/05/15. We can do this problem a few different ways.

Step-by-step explanation:

Ezra spins the following spinner 50 times. How many times should he expect to land on a 4?

Answers

Answer:

10

Step-by-step explanation:

you divide 5 and 50

What are the steps to solving the equation: -3w+9= -12

Answers

Answer:

   Simplify each side of the equation by removing parentheses and combining like terms.

   Use addition or subtraction to isolate the variable term on one side of the equation.

   Use multiplication or division to solve for the variable.

Step-by-step explanation:

Answer:

Solution

= −7

Step-by-step explanation:

3 + 9 = − 12

3 + 9 − 9 = − 12 − 9

Subtract the numbers

Subtract the numbers

3 = − 21

Divide both sides of the equation by the same term

3 = − 21

3/3 = −21/3

Solution

= −7

Solve for t: t + 7 = 21 A. t = 28 B. t = 14 C. t = -28 D. t = -14

Answers

Answer:

B t= 14

Step-by-step explanation:

t + 7 = 21

collect like terms

t = 21 - 7

t = 14

6x+7 X=3
Evaluate the expression

Answers

plug the 3 in for x because x=3 so it’ll be 6(3)+7 and that equals 25

On Saturday Kai gave his guinea pig 80 grams of the food. The table shows the amount of each type of food he gave to the guinea pig. Which percentage bar graph best represents the data?

Answers

Answer:A

Step-by-step explanation:

Which is greater? 3/50 or 0.74

Answers

Answer:

0.74

Step-by-step explanation:

3/50 = 0.6

0.6<0.74

Which expression is equal to 7ab^5 56a^3b^2

Answers

Answer:

b³/8a²

Step-by-step explanation:

This answer is obtained by cancelation of terms

Hope that helps you

For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards or downwards.
help please!

Answers

Answer:

Step-by-step explanation:

Find the vertex, in this case which is a maximum (-3,3), the axis of symmetry is a line that cuts it down the middle, vertically so the equation is x = -3, notice that is the same same x value for the vertex

Parabola opens downward

Increases when y < 3 and decreases when y > 3

Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents the proportional relationship between the wages she earns (w) and the number of hours (h)?

Answers

Answer:

52,000 w

100h

Step-by-step explanation:

Answer: w=52h

Step-by-step explanation:

tried and worked

Y=4x-1 fill in table

Answers

Answer:

please provide table

there is no table in question

The function, f(x) = sec(x), is plotted below.


On a coordinate plane, parabolas repeat. A parabola opens up approaches StartFraction pi Over 2 EndFraction, has vertex (0, 1), and approaches StartFraction pi over 2 EndFraction. The parabola flips over the x-axis at every measure of pi.


For which values of x is the limit positive infinity when x approaches the values from the left?


Negative StartFraction 3 pi Over 2 EndFraction

Negative StartFraction pi Over 2 EndFraction

0

StartFraction pi Over 2 EndFraction

StartFraction 3 pi Over 2 EndFraction

Answers

Answer:

OPTION ONE

and

OPTION FOUR

Step-by-step explanation:

100% correct edge

do not pick a and b as its not B !!!!

The value of x is the limit positive infinity when x approaches the values from the left the options one and four is correct.

We have given that,

The function, f(x) = sec(x), is plotted below.

On a coordinate plane, parabolas repeat.

What is the limit?

The limit is a  value that a function (or sequence) approaches as the input (or index) approaches some value.

A parabola opens up approaches StartFraction pi Over 2 EndFraction, has vertex (0, 1), and approaches StartFraction pi over 2 EndFraction. The parabola flips over the x-axis at every measure of pi.

We have to determine the value for which values of x is the limit positive infinity when x approaches the values from the left.

from the graph, we have options one and four is correct.

To learn more about the graph visits:

https://brainly.com/question/4025726

#SPJ2

HELP PLEASE!! not sure about this one!!

Answers

Answer:

y=4x

Step-by-step explanation:

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