In triangle, STU, ST = 52, and TU = 39. What is the range of values for the length third side?
A - (-13 < SU < 13)

B - (13 < SU < 91)

C - (13 < SU < 52)

D - (-13 < SU < 91)

Answers

Answer 1

The range of values for the length third side is (13 < SU < 52) Which is correct option (C).

What is inequality?

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

In triangle Δ STU,

Side ST = 52,

And Side TU = 39.

Let missing side is smallest than other sides,

According to the sides of a triangle rule asserts that,

The sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. The sum of the lengths of the two shortest sides TU and Side SU. That length is greater than the length of the longest side ST.

So, Side ST < Side SU + Side TU  

⇒  52 < Side SU + 39

⇒  52 - 39 < Side SU

⇒  13 < Side SU  

Since, Side ST is largest side So Side SU can not be greater than 52

Therefore, the range of values for the length side SU :

⇒ 13 < Side SU < 55

Hence, the range of values for the length third side is (13 < SU < 52).

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Related Questions

find y if triangle DEF is a equilateral triangle and mf = 8y+4

Answers

4(2x+1)
Merry Christmas

Divide (x^4 - y^4) by (x-y)
Show your calculation .
You can use factorisation.

Answers

Answer:

4

Step-by-step explanation:

x4−y4/x−y

=

x4−y4/x−y

Answer:

[tex]\boxed{x^3 + xy^2 + yx^2 + y^3}[/tex]

Step-by-step explanation:

[tex]\frac{x^4 - y^4}{x - y}[/tex]

[tex]= \frac{(x^2)^2 - (y^2)^2}{x - y}[/tex]

[tex]= \frac{(x^2 - y^2)(x^2 + y^2)}{x - y}[/tex]

[tex]= \frac{(x - y)(x + y)(x^2+y^2)}{x - y}[/tex]

[tex]= (x + y)(x^2 + y^2)[/tex]

[tex]= x^3 + xy^2 + yx^2 + y^3[/tex]


Which answer choice identifies the relevant information in the problem?
Sarah left the house at 12:15 p.m. to go to the store. She spent $42.20 on 2 books for her children and she spent $5.67 on a toys for her dog, Rover. Sarah arrived home at 1:00 p.m. How much did Sarah spend on each book

Answers

Answer:

Step-by-step explanation:

Given parameters:

Time of going out = 12:15pm

Amount spend on two books  = $42.20

Amount spend toys = $5.67

Time of arrival  = 1:00pm

The amount Sarah spent on each of the two books;

      = [tex]\frac{total amount spent on the books }{number of books}[/tex]

Amount spent on each books  = [tex]\frac{42.20}{2}[/tex]   = $21.1 per book

The relevant information to solve this problem are the number of books and the cost of the book.

THIS IS MY 5th TIME POSTING THIS AND NOBODY IS HELPING WHAT IS THE SLOPE,X int , Y int OF THIS EQUATION ALSO PLS SHOW UR WORK

Answers

Answer:

2x+y=-5

Y=-5-2x

X | Y

(0 ; -5)

(1 , -7)

(-2'5 ; 0)

And then put the points in the graph

i hope this helps! if you have a question about it just ask me!

5
1. An online store sells Raider shirts. They charge $8 for shipping and $21
per shirt ordered. Write an expression that can be used to find the cost in
dollars for R shirts including shipping. *


HELPPPP

Answers

Answer:

21s+8=r

need more characters

Curtis plays a trivia game. He earns 2 points for each
correct answer and loses 0.25 points for each incorrect
answer. He gets 21 correct answers and 4 incorrect
answers.

a. 43

b. 41

c. 34

d.42

Answers

Answer:

B. 41

Step-by-step explanation:

Since He Earns 2 Points for each and he got 21 correct answers, that means 42 Points Correct.

He Loses 0.25 for each incorrect, and he got 4  incorrect, therefore he loses 1 point. and 42-1 is 41.

B). 41 this would be 41

Mitchan worked 5 days
last week. She worked 7
hours per day and she
earns $18.75 per hour.
How much money did she
make for the entire
week's work?

Answers

Answer:

$656.25

Step-by-step explanation:$18.75 per hour, and with that Mitchan worked 7 hours, so you times 7, and times 5 for the 5 days Mitchan worked

I really need help on this.


Use the graph and the translation (x,y) → (x + 4y + 2) to answer parts a and b below.
a. Enter the image of each vertex as an ordered pair.
A → A
B → B
C → C

Answers

Answer:

Use the translation formula to determine the new points.

A' → [tex](5 + 4, -8 + 2) = (9, -6)[/tex]

B' → [tex](1 + 4, -1 + 2) = (5, 1)[/tex]

C' → [tex](-7 + 4, -3 + 2) = (-3, -1)[/tex]

A' = (9, -6)

B' = (5, 1)

C' = (-3, -1)

The new coordinates are obtained as  A'(-4, 7), B'(3, 1) and C'(-3, -1) respectively.

How to transform a graph of the function?

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

And, for up and down shift it is a + f(x) and a - f(x) respectively.

The new coordinates after the transformation is given as follows,

Apply the given transformation (x,y) → (x + 4,y + 2) as below,

The coordinates of A' are (-8 + 4, 5 + 2)  = (-4, 7).

The coordinates of B' are (-1 + 4, -1 + 2)  = (3, 1).

The coordinates of C' are (-7 + 4, -3 + 2)  = (-3, -1).

Hence, the coordinates after the transformation become as A'(-4, 7), B'(3, 1) and C'(-3, -1).

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Solve the question.
I'm lowkey stuck on this ;-;

Answers

Answer:

x = -149/20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

2(x + 469/20) = 32

Step 2: Solve for x

Distribute 2:                              2x + 469/10 = 32Isolate x term:                           2x = -149/10Isolate x:                                    x = -149/20

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    2(-149/20 + 469/20) = 32Add:                              2(16) = 32Multiply:                        32 = 32

Here we see that 32 does indeed equal 32. ∴ x = -149/20 is a solution of the equation.

And we have our final answer!

1. What is matter
2. Write the states of matter with three examples.​

Answers

Answer:

1.Matter is the "stuff" that makes up the universe — everything that takes up space and has mass is matter. All matter is made up of atoms, which are in turn made up of protons, neutrons and electrons

2.Matter can exist in one of three main states: solid, liquid, or gas.

Solid matter is composed of tightly packed particles. A solid will retain its shape; the particles are not free to move around.

Liquid matter is made of more loosely packed particles. It will take the shape of its container. Particles can move about within a liquid, but they are packed densely enough that volume is maintained.

Step-by-step explanation:

Answer:

Matter is defined as anything that has mass and takes up space. The types of matter are solids, liquids, gases, and plasma. An example of solids are the desks in school,your bones, or your house. An example of liquids is the ocean, lemonade, or blood. Gases can be hydrogen, carbon dioxide, or oxygen. Plasma can be stars.

Step-by-step explanation:

Which rational number is negative?

Answers

Answer:

D

Step-by-step explanation:

Hope this helps

Lúcida Is a cross country ski racer on Saturday she skied twice as many miles as she did on Sunday over the weekend she has skied a total of 63 miles how far does she sky on each Day?

Answers

Answer:

21 Sunday and 42 Saturday

Step-by-step explanation:

21 × 2= 42

21+42=63

John gets a new job and receives a $500 signing bonus. After that, he makes $200 a day. How much money does he make after 4 days?

Answers

Answer:

John makes a total of $1,300.

Step-by-step explanation:

We know that before his bonus, John already has $500. Then, he gets $200 every day for 4 days.

200 x 4 = $800

So, over the course of those 4 days, Johnny makes $800. Now, let's add this to the rest of his money.

800 + 500 = $1,300

Therefore, John makes a total of $1,300.

Hope this helps! :)

Can somebody please help me with this math question

Answers

Answer:

80 is what I got

Step-by-step explanation:

Freddy is searching for a shirt and discovers that he has 12 shirts for every 6 pair of jeans. if he has 18 shirts how many pairs of jeans does he have now?

Answers

Answer:

9

Step-by-step explanation:

he has 2 shirts for 1  pair(s) pants so if you multiply 9 times 2 you get 18 and if you multiply 9 time 1 you get  your answer which  is 9

Problem ID: PRABDU8Y
Find the value of the variable.
7(m +5) = 21
engage

Answers

Answer: m= -2

7(m+5) = 21

7m + 35 = 21
-35. -35

7m = -14
————-
7. 7

m = -2

What is 6.92 × 10^−3written in standard form?

Answers

Answer:

0.00692

Step-by-step explanation:

6.92

×

10

3

=

6.92

10

3

=

6.92

1000

=

0.00692

Select all the relations that represent a function.
(1, 3), (2, 5), (2, 7) (4, 9)
(1, 3), (2, 5), (3, 7) (4, 9)
(1, 3), (1, 5), (1, 7) (4, 9)
(1, 3), (2, 3), (3, 3) (4, 3)
(1, 2), (2, 5), (2, 1) (4, 5)

Answers

it would be the second and 4th one since x doesn’t repeat

(1, 3), (2, 5), (3, 7) (4, 9) and (1, 3), (2, 3), (3, 3) (4, 3) are the relations that represent a function.  

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given Relation is (1, 3), (2, 5), (2, 7) (4, 9)

The relation is not a function as 2 is repeated.

The given Relation is (1, 3), (2, 5), (3, 7) (4, 9)

The relation is a function as no number is repeated.

The given Relation is (1, 3), (1, 5), (1, 7) (4, 9)

The relation is not a function as 1 repeated.

The given Relation is (1, 3), (2, 3), (3, 3) (4, 3)

The relation is a function as no number is repeated.

The given Relation is (1, 2), (2, 5), (2, 1) (4, 5)

The relation is not a function as 2 repeated

Hence, (1, 3), (2, 5), (3, 7) (4, 9) and (1, 3), (2, 3), (3, 3) (4, 3) are the relations that represent a function.

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Help please 20 points and brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

HELPPP!!! And explain please.

Answers

Answer:

After correcting error of Mia and solving the expression[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex] we get 14.25

Step-by-step explanation:

The given expression is:[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex]

First I solve the expression, and then will point the error

[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)\\Converting \ \div \ sign \ into \ \times the \ term \ is \ inverted\\=0.38 \times 3 \times(-20)\times5\times(-1/8)\\=0.38\times 3 \times-20\times5\times-1/8\\=1.14 \times-20\times5\times-1/8\\=-22.8\times5\times-1/8\\=-114\times-1/8\\=\frac{-114}{-8}\\=14.25[/tex]

So, the mistake Mia did was when she inverted division sign into multiplication, she didn't invert the term next to division sign.

The step she did was: [tex]0.38 \times 5 \times(1/20)\times3\times(-8)[/tex]

While the correct step was: [tex]0.38 \times 3 \times(-20)\times5\times(-1/8)[/tex]

After correcting error of Mia and solving the expression[tex]0.38 \times 3 \div(-1/20)\times5\div(-8)[/tex] we get 14.25

What is the negative reciprocal?

-23/17

Answers

Answer:

17/23

Step-by-step explanation:

-(-17/23)

17/23

the following triangles are congruent by SSA

Answers

Answer:

False

Step-by-step explanation:

Missing the side stick

50 POINTS!!! ILL GIVE BRAINLESIT!!​

Answers

Answer

Both Claim I and Claim II are correct.

Explanation

Claim I: We know that KL and MN are parallel because angle L and M are the same. Similarly, angle K and N are also the same.

Claim II: First find line KN and LM. You can see that these lines touch at point P.

what is the perimeter ​

Answers

Answer:

16

.................

16 is the perimeter

I will give brainliest:)

Answers

$130.33

Add all the purchases together, and then multiply by 6%. It comes out to 7.377

Add the sales tax to your original cost of all the items you are buying.

$122.95 + $7.377 = $130.33

Does y=2x-4 represent a linear function?

Answers

Answer:

Yes

Step-by-step explanation:

This equation is in slope-intercept form, [tex]y=mx+b[/tex]. If graphed, it would be a line.

Hope this helps!

Yes!
If x doesn’t have any power, it is a linear function
For example:
(x^2 is a quadratic function)
(x^3 is a cubic function)

BRAINLIEST 5 stars and Thanks <3 Fast and CORRECT answers!!!

Answers

Answer:

Perfect-square trinomial

Step-by-step explanation:

Perfect square trinomial

find the slope of the line PLEASEEE

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

m=[tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

x&y[tex]^{1}[/tex]=(0,0)

x&y[tex]^{2}[/tex]=(2,1)

m=[tex]\frac{1-0}{2-0}[/tex]

m=1/2

A car travels at 40 miles per hour. Deb wrote the equation y=40x. Deb then graphed the equation and noticed that the point (3, 120) was on the line. What does this point represent?

Answers

Answer:

the time spent

Step-by-step explanation:

please help! I will choose branliest!​

Answers

Answer:

3 (second option)

Step-by-step explanation:

g(x) is a piecewise function. To find g(3), you have to see which condition the number 3 satisfies.

Out of the options provided, the only condition 3 satisfies is x≥3.

The equation provided for x being greater than or equal to 3 is 6 - x.

Now we can plug in our x value of 3 and solve.

g(3)= 6 - 3

g(3)= 3

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