Please help

1< |x– 2| < 5

Answers

Answer 1

Answer:

[tex]1 < |x -2|< 5\\1< |x-2| = |x-2| > 1\\-1 >x-2 \ , \ x-2<1\\1>x \ , \ x >3\\\\|x-2|<5 = -5 < x-2<5 = -3 <X<7\\\\Therefore , by \ merging \ overlapping \ intervals \\\\-3<x<1\quad \mathrm{or}\quad \:3<x<7[/tex]


Related Questions

Which of the following best describes the situation below?
The number of miles a car can run depends on the gallons of gasoline in the
tank.

Answers

Answer:

Step-by-step explanation:

Simplify this expression.
(2+3)65-7

Answers

Answer:

Make me Brainliest

Step-by-step explanation:

=5*65-7

=325-7

=318

PLEASE HELP ID APPRECIATE IT

Answers

Answer:

94281 km +- 1 km

572.2 km +- 0.1 km

HELLPPPP!!!!!!
A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year.
How many helmets did the company sell in their first year?

Answers

Answer:

1,260 helmets

Step-by-step explanation:

100/225 × 2,835 = 1,260

please help i have an exam next week and im really stuck on this

Answers

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.

Answers

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

Solve for x. Round to the nearest tenth of a degree, if necessary.
K
J
17
28
21-0
Submit Answer
Answer: 0

Answers

Answer:

52.6°

Step-by-step explanation:

cos(theta)= adj/hyp

hyp=28

adj=17

what is
√117^2
Please help schools almost over and i need major help

Answers

Answer:

117

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

please mark me as brainlest

please solve and find the value of x.

Answers

Answer:

28

Step-by-step explanation:

Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:

2x° = 56°

2x = 56

x = 56/2

x = 28

Answer: x=28

Step-by-step explanation:

A line has to be 180 degrees

You have 56, so 180-55=124 degrees

Angles are parallel because of the two double curve line.

Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.

You know that a triangle is 180 degrees

So 180-124=56 degrees

So the unknown angle and the x angle together have to equal 56 degrees.

Since both angles are the same all you do is 56/2.

Now x= 28degrees

What is the y'intercept of the line given by the equation y = 5x + 16? !!!!

Answers

Answer:

16

Step-by-step explanation:

Y=Mx+b where m is the slope and b is the y intercept

y=5x+16 where 5 is the slope and 16 is the y intercept.

Which statement describes the linear graph

Answers

Answer:

B.

Step-by-step explanation:

a five-question quiz is taken in which the first and second questions have four answer choices the third and fourth questions have three answer choices and the last question has five answer choices a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly

Answers

Answer:

1.37

Step-by-step explanation:

1

. Formula of the area of a trapezoid is:

Answers

Answer:

Step-by-step explanation:

A=(b1+b2)h/2

What is Median?

I'm not going to be online for 3 weeks. No need to worry about me, okay :) <3 <3​

Answers

Answer:

See below

Step-by-step explanation:

The median is the middlemost term in a numerically ordered data set.

For example, if I had for my data set {2,2,3,5,6,7,8} then 5 would be the median because it's the middlemost term.

In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
the midpoint of PQ. If RS = 18 – 4x, and OP = -9 + 7x, what is the
measure of OP?
R
S
O

Answers

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12

Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.

Answers

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

5.6 x 2.25 = $12.60 is the amount she pays

For some integer q, Every odd integer is of the form

(a) q (b) q+1 (c) 2q (d) 2q+1​

Answers

Answer:

Every Odd Integer is of the form 2q+1

Take 5 as our test odd Number

2(5) + 1 = 11.

This works and Nothing else will from the set of Options.

SO OPTION D IS LEGIT!

Either enter an exact answer in terms of π or use 3.14, for π and enter your answer as a decimal?

Answers

Answer:

56.54

Step-by-step explanation:

Circumference of a circle = 2πr

However, this is a semicircle

Curved circumference of the semicircle = πr

Diametrical length = 2r

Therefore, circumference of a semi circle is πr + 2r

Circumference of a semicircle = πr + 2r

r = 11

Circumference of a semicircle = πr + 2r

= (3.14 * 11) + (2 * 11)

= 34.54 + 22

= 56.54

simply the complex numbers: (2 + 5i)(1 – 3i)

Answers

Answer:

17 just multiply the like dot product of vectors

GI = 6, HI = 8, DT = 12, what is IE?​
a.12
b.16
c.8
d.4

Answers

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = [tex]\frac{48}{12}[/tex]

EI = 4

Therefore, Option D is the correct option.

What aspects of distance learning do you hope to keep when we return to classes full time?

Answers

to remain at home still maybe i jsut it’s so awkward

Find the value of x that makes ABCD a parallelogram.
D
с
X + 40°
70°
70°
X + 40°
А
B
O A. x = 40°
B. x = 50°
O c. x = 70°
O D. x = 30°
HELPPP MEEE PLSSS ASAPPPP !!!!!

Answers

C. X=70

Consecutive angles are supplementary (add to 180)

70+ x + 40 = 180

110 + x = 180

X = 70

The value of x that makes ABCD a parallelogram is C. x = 70°.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

To learn more about Parallelograms, click here :

https://brainly.com/question/11220936

#SPJ7

What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm
A. 34.6 cm
B. 17.3 cm
C. 69.1 cm
D. 138.2 cm

HELPPP

Answers

Answer:

C. 69.1

Step-by-step explanation:

Circumference formual = 2pi r

2 × 3.14 × 11

69.1cm

The circumference of the circle is 69.1 cm.

What is circumference?

The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.

Given that a circle with radius 11 cm, we need to find the circumference of the circle,

Circumference = π × 2 × radius

= 3.14 × 2 × 11

= 69.1 cm

Hence, the circumference of the circle is 69.1 cm.

Learn more about circumference, click;

https://brainly.com/question/28757341

#SPJ7

Pleaseeeeeeeee helppppp someone pleaseeeeeee I’m begging uuuuuuuuuuuu

Answers

Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

Which angles are supplementary to∠4? Select all that apply.

Answers

9514 1404 393

Answer:

  B, D, E

Step-by-step explanation:

All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...

  ∠2, ∠6, ∠7

2.5 km= M

Help me please

Answers

Answer:

2,500

Step-by-step explanation:

Have a good day :)

Please solve, f(x) = mx + b

Answers

Answer:

[tex]m = \frac{4 - 3}{3 - 6} \\ m = \frac{1}{ - 3} \\ f(x) = \frac{ - 1}{3} x + 5

1. The angle θ lies in Quadrant I.


sinθ=2/5


What is cosθ?


√−21/5


−2/5


√21/5


2/5

Answers

Answer:

2/5.......................

What is the slope of the line that passes through the points (6, -5) and (6, —8)?
Write your answer in simplest form.

Answers

Answer:

(y2 -y1) / (x2 - x1)

Step-by-step explanation:

use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.

Hope that helped

Answer:

Undefined

Step-by-step explanation:

GIVEN :-

A line passes through two points , and their coordinates are given below :-

(x₁ , y₁) = (6 , -5)(x₂ , y₂) = (6 , -8)

TO FIND :-

Slope of the line

FORMULAE TO KNOW BEFORE SOLVING :-

Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).

[tex]=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

SOLUTION :-

According to the question ,

[tex]=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}[/tex] = undefined (∵ Anything divided by 0 is undefined.)

Just help me please don’t ignore me

Answers

Answer:

See https://brainly.com/question/23882263 for A and B parts of the first question

d)

[tex]HF = \sqrt{EH^2+EF^2} = \sqrt{2^2+3^2} = \sqrt{13}[/tex]

#2

[tex]d = \sqrt{2^2+5^2} = \sqrt{4+25} = \sqrt{29}[/tex]

#3

Diagonals are perpendicular. Side length of the rhombus:

[tex]a = \sqrt{(8/2)^2+(6/2)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]

Perimeter:

P = 4a = 4(5) = 20
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