Find the range of possible values for x.

Find The Range Of Possible Values For X.

Answers

Answer 1

Answer:

x is between 5 and 33 ⇒  5 < x < 33

Step-by-step explanation:

The two triangles have two equal side measures:

4 units and the sides marked as equal,

The third side is different and the given angles are opposite them.

It means the angle measure 4x - 20 is smaller than 112:

4x - 20 < 1124x < 132x < 132/4x < 33

On the other hand, the angle measure is positive:

4x - 20 > 04x > 20x > 5

So the possible range of x is:

5 < x < 33
Answer 2

First it must be positive

4x-20>04(x-5)>0x-5>0x>5

And

4x-20<1124x<132x<33

So solution range

(5,33)

Related Questions

can someone please help me with the 3 problems? ​

Answers

Answer:

1. s-110=-124

+110

s=-14

2. 4 gallons

3. 96 oz

Hope This Helps!!!

help lol i need it rn

Answers

Answer: the top right

Step-by-step explanation:

The sum of two numbers is 35. One number is 7 less than the other. Find the numbers.

Answers

Answer:

14+21

Step-by-step explanation:

because, 14+21 =35

21 is 7 more bigger than 14

Seventy percent of what number is 35?

Answers

Seventy percent of fifty (50) is 35

What is the percentage?

The percent or percentage of a number is the division of the number with 100.

From the given information, we are being told that 70% of a number is 35.

Let's assume that the unknown number is: (x)

It means that:

70% of x = 35

[tex]\mathbf{(\dfrac{70}{100})x = 35}[/tex]

0.7x = 35

Divide both sides by 0.7

x = 35/0.7

x = 50

Learn more about percentage here:

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A mathematics test has 15 items. In how many ways can a student answer the exam with 9 correct answers and 6 wrong answers?

a. 15
b. 30
c. 90
d. 5,005

Answers

Answer:

Surprisingly the answer is 5,005.

Basically this is asking "in how many ways can you choose 9 things from a set of 15 things".

You will need to use the formula found at the top of this page:

https://www.1728.org/combinat.htm

Filling in the formula in which 'r' = 9 and n = '15'

combinations = n! / (r! * (n-r))!

combinations = 15*14*13*12*11*10 * 9! / (9! * 6!)

combinations = 15*14*13*12*11*10 / 6*5*4*3*2*1

combinations = 14 * 13 * 11 * 10 / 4  

= 14 * 13 * 11 * 2.5

= 5,005

answer is "d"

Step-by-step explanation:

solve each system of equations by showing the process of substitution.
a) y=-1/4 x and x+2y=4
b) y=-x-2 and 3x+3y=6
c) -8x+2y=4 and y=4x+2

pLS help ​

Answers

Answer:

A. {x,y}={-2,-3}

// Solve equation [2] for the variable  x

 [2]    x = 2y + 4

// Plug this in for variable  x  in equation [1]

  [1]    (2y+4) - y = 1

  [1]    y = -3

// Solve equation [1] for the variable  y

  [1]    y = - 3

// By now we know this much :

   x = 2y+4

   y = -3

// Use the  y  value to solve for  x

x = 2(-3)+4 = -2

B.   [1]           3x=3y-6

 [2]           y=x+2

Equations Simplified or Rearranged :

  [1]    3x - 3y = -6

  [2]    -x + y = 2

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = x + 2

// Plug this in for variable  y  in equation [1]

  [1]    3x - 3•(x +2) = -6

  [1]    0 = 0 =>  Infinitely many solutions

C.Step by Step Solution

More Icon

System of Linear Equations entered :

  [1]    4x - y = 2

  [2]    8x - 2y = 4

Solve by Substitution :

// Solve equation [1] for the variable  y

 [1]    y = 4x - 2

// Plug this in for variable  y  in equation [2]

  [2]    8x - 2•(4x-2) = 4

  [2]    0 = 0 =>  Infinitely many solutions

Answer:

Step-by-step explanation:

a) y = -1/4x    --------------(I)

x + 2y = 4 -----------------(II)

Substitute y = (-1/4)x in equation (I)

[tex]x + 2*\dfrac{-1}{4}x=4\\\\\\x -\dfrac{1}{2}x=4\\\\Multiply \ the \ entire \ equation \ by \ 2 \\\\2x -x = 8\\\\x=8[/tex]

[tex]Substitute \ x = 8 \ in \ equation \ (I)\\\\y=\dfrac{-1}{4}*8\\\\\\y = -2[/tex]

Answer: x = 8  ; y = -2

b) y = -x - 2 --------------(i)

   3x + 3y = 6   -----------(ii)

Divide equation (ii) by m

x + y = 2

  y = -x + 2  ----(iii)

From (i) and (iii), it shows that these lines have same slope. So, they are parallel lines

Answer: No solution

3) -8x + 2y =4

            2y = 8x + 4

Divide the entire equation by 2

             y = 4x + 2 -------------(i)

            y = 4x + 2 ----------------(ii)

From (i) and (ii), we come to know that these lines coincide.So, they have infinite solutions.

A sequence of steps for solving the equation 3(x - 2) = 4 is shown. Match a property to each blank box to show the reason for each step.

Answers

Step-by-step explanation:

1. 3(x-2)=4

2. 3x-6=4

3x=10

4.x=10/3

An image of a rectangular prism is shown below: A right rectangular prism is shown. Part A: A cross section of the prism is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)

Answers

Answer:

See below

Step-by-step explanation:

Part AThe base is a rectangle hence the parallel cut produces the same shape.Part BThe cut diagonal to base will produce rectangle as the cross section still  contains two pairs of parallel lines

name each indicated part of the algebraic expression 4x + y/3 - 2.3

4:
-2.2:
1/3:
y/3:

Answers

Answer:

» 4 → Coefficient of x [slope of a line]

» x → Term of 4

» ⅓ → Coefficient of y

» y → term of ⅓

-2.3 → Constant [y-intercept]

Step-by-step explanation:

Consider equation below:

[tex]{ \bf{ax + by + c}}[/tex]

• a is a coefficient of x-term

• b is a coefficient of y-term

• c is a constant

The indicated part of the algebraic expression 4x + y/3 - 2.3 are

4: Coefficient of x [slope of a line] x: Term of 4 ⅓: Coefficient of yy: term of ⅓-2.3: Constant [y-intercept]

What is an algebraic expression?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations.

Given an algebraic expression 4x + y/3 - 2.3

The algebraic equation usually consists of a variable, coefficients, and constants.

the parts of the expression that are connected with addition and subtraction. These parts are called terms. A coefficient is a number that is multiplied by a variable in a mathematical expression. In a mathematical expression, factors are parts of the expression that are connected by multiplication

Learn  more about algebraic expression here:

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[tex]x+2y\leq 10,x+y\leq 3[/tex]

Answers

what do you need to do? evaluate the function? solve the system of inequalities? please let me know so i can help!!!

use multiplcation to solve the proportion. b/65 = 7/13​

Answers

Answer:

b = 35

Step-by-step explanation:

Use the butterfly method (Cross multiply):

b × 13 = 13b

65 × 7 = 455

So you would have:

13b = 455

Divide both sides by 13.

You will get b = 35

Hope this helps!

Answer: b=35

Step-by-step explanation:

[tex]\frac{b}{65}=\frac{7}{13}[/tex]

Multiply both sides by 65:

[tex]\frac{65b}{65}=\frac{7\cdot \:65}{13}[/tex]

[tex]b=35[/tex]

Bev has to trim her grandma's grass this weekend and wants to know exactly how much area she will be trimming. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

Answers

Answer:

150 ft²

Step-by-step explanation:

If you take that triangle and place it on the other side you get a normal rectangle and can just multiply 15 By 10

Please help this is due today

Answers

Answer:

The answer is 345

Step-by-step explanation:

The lateral surface area of a cylinder can be defined as the surface area of all of the sides of the cylinder excluding its base and top is calculated using lateral_surface_area = 2* pi * Radius * Height. To calculate Lateral Surface Area of a Cylinder, you need Radius (r) & Height (h).

but instead, will be using 3.14

2*3.14*4.9*11.2

6.28*54.88 = 344.6464

344.6464 rounded to the nearest whole number is:

345

i need help, im about to have a meltdown​

Answers

Answer:

Not sure of the actual quest but

y=-3x+7

slope -3

y=7

x= 7/3

y=6x-2

slope 6

y= -2

x= 1/3

Step-by-step explanation:

Answer soon!!!! (60 points)

Answers

Answer:

the second one, $63, i think

Step-by-step explanation:

What is the distance between (0, 0) and (-7, -3)? Round your answer to the nearest tenth.

Answers

Answer:

Distance = -7.6

Step-by-step explanation:

Using Distance Formula, √((x2-x1)^2 + (y2-y1)^2)

√((-7 - 0))^2 + (-3 - 0)^2) = 7.6

Two​ trains, Train A and Train​ B, weigh a total of 473 tons. Train A is heavier than Train B. The difference of their weights is 397 tons. What is the weight of each​ train?

Answers

Answer:

You say

473- 397

=76

So maybe train A is 76 tons while train B is 397

Hope answer helps

What percent of 600 is 334?

Enter your percent as a fraction in simplest form by filling in the boxes.

Answers

Answer:

55 2/3%

Step-by-step explanation:

Setup an equation and solve.

p x 600 = 334

p x 600/600 = 334/600

p = 55 2/3%

Hi There Answer 55 2/3%

Step-by-step explanation:

The perimeter of square is 240.What is the length

Answers

You do 240/4 (it’s being divided by 4 because a square has 4 sides)
Your answer would be 60
You can also check it
P=60+60+60+60
P=240
Hope this helped :)

an employee earns $31.20 after four hours and $54.60 after seven hours. What is the employees hourly rate of pay?

Answers

Answer:

$7.80 an hour

Step-by-step explanation:

$31.20/4 = 7.8
$54.60/7 = 7.8

Answer:

$7.80 per hour

Step-by-step explanation:

I know this equation might seem a bit complicated, but it's actually really simple. Just divide.

$31.20/4 = $7.80

Now we just have to make sure the second one matches.

$54.60/7 = $7.80

Since they both match, the hourly rate of pay is $7.80.

help help help!! pleaseee

Answers

Answer:

b

Step-by-step explanation:

i dont know how to explain it lol but its b

with the options Givin I found the anserw was B

Help, I’m in 6th grade I need help with this. I got the first one wrong and I can’t worth to lose the second part because it’s gunna mark it on my grades, plus it’s only 9 questions, and u can’t redo it but


Kevin is hiking on a trail that is 1.8 miles long. So far, he has hiked 80% of the total distance.
How many more miles does Kevin have to hike in order to complete the trail? Complete the explanation on how you found your answer.

Kevin has to hike 0.36 more miles in order to complete the trail.

Part 2 out of 2
Since Kevin has hiked 80% of the trail, he has 100% - 80% or ?%
So, 20% of 1.8 = ? × 1.8 = 0.36.

Answers

Answer:

Part 1: 4.5

Part 2: 20%, 0.2

Step-by-step explanation:

1. 1.8 = 80% We need to understand this.

So we can do this then:

2. 1.8/8 = 80%/8

3. 0.225 = 1%

4. 0.225 * 20

5. 4.5

(this is part 1 btw)

Part 2!

20% since 100-80 is 20.

20% -> 0.2

Really Easy Points!!!
-
Define potential

Answers

Potential is what an individual is capable of doing or becoming

Answer:

Having or showing the capacity to develop into something in the future is called potential

In each of the following, solve for X.

Answers

Answer:

Solving for X: x = 8

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

12/15 = x/10

x = 8

y = x + 10

y = 8 + 10

y = 18

PLEASE HELP AND NO LINKS PLEASE

Answers

Answer:

x ≤ 4

Step-by-step explanation:

x ≤ 4

A closed circle means ≤ or ≥

An open circle means < or >

As the shaded area is to the left of 4,   x ≤ 4

I need help...............

Answers

Answer:

2 (a) d=3

(b) e= 21

(c) f= 4

3.(A) 3cm

This is your answer

(Unitary Method)
12 workers can do a piece of work in 20 days. How many workers should be added to complete the work in 16 days?
(Give answer in process by process)
(Answer is 3 workers)​

Answers

Given :-

12 workers can do a piece of work in 20 days .

To Find :-

How many workers should be added to complete the work in 16 days ?

Solution :-

According to the question ,

→ In 20days 12 workers can do a piece of work.

→ In 1day 12*20 workers can do that work

( Less days , more workers )

→ In 16 days 12*20/16 = 15 workers can do the work.

So 15 -12 = 3 workers should be added to complete the work.

Hence the required answer is 3 .

I hope this helps.

ring-ring. *pick up phone* Hello, Einstein? I be needing some help.

Thank you.

Answers

Answer:

The one that you pick is correct

Brenda is given a budget of $1100 to remodel her bedroom. It will cost her $12 for each can of paint she buys. If she wants to have $850 leftover to buy new furniture, how many cans of paint can she buy?​

Answers

Answer:

20

Step-by-step explanation:

please rate 5 stars and thank it and make brainliest

hope this helps have a good day

Elena writes the equation 6x+2y=12. Write a new equation that has:
no solutions in common with Elena's equation

PLEASE HELP ME FAST!!

Answers

6x-2y=12 the wording is very strange
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