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2 years ago

Solve for x: 1 < X + 3 < 4

Mathematics

1 answer:

sveta [45]2 years ago

6 0

Answer:

for soln 1: X < -2; for soln 2: X < 1

Step-by-step explanation:

This is two set problem involving inequality. Therefore, you have to solve for each side of the inequality to know the values of X for each sides.

1 < X + 3 < 4

Soln 1. solve for the first side of the inequality

1 < X + 3

1 - 3 < X

-2 < X

X > -2

soln 2: solve for the second side of the inequality

X +3 < 4

X < 4 - 3

X < 1

Therefore, X > -2; X < 1

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I need help finding the solution

Ilya [14]

<h3>Answer: 226 degrees</h3>

=====================================================

Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

---------------------

Use this x value to find the measure of arcs DC and CB

arc DC = 12x+7 = 12*5+7 = 67
arc CB = 18x-23 = 18*5-23 = 67

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

7 0

3 years ago

Find x Help me plz!!!

mariarad [96]

9514 1404 393

Answer:

x = 8

Step-by-step explanation:

Assuming the figure is a parallelogram, the diagonals bisect each other. That means ...

3x -11 = x +5

2x = 16 . . . . . . . add 11-x to both sides

x = 8 . . . . . . divide by 2

3 0

3 years ago

Read 2 more answers

g A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slo

Law Incorporation [45]

Answer:

Step-by-step explanation:

Let us consider E_abc to be the event that a, b and c appear on the first, second and third slot of the spin machine.

Now, we are told that each slot has 4 possibilities which are a cherry, a lemon, a star, or a bar when spun.

Thus, from mn rule in probability, the total number of simple events in the sample space is = 4³ = 64

7 0

3 years ago

Why is the number 19/100 a rational number?

Kobotan [32]

Answer:

B. It is the quotient of 19 divided by 100

Step-by-step explanation:

A rational number is the quotient of two integers. 19/100 is the quotient of the integers 19 and 100.

5 0

4 years ago

On the Richter scale, the magnitude, M, of an earthquake is given by M= 2/3logE/Eo, where E is the energy released by the earthq

Ivahew [28]

Answer:

See below

Step-by-step explanation:

Part A

Formula

M = 2/3 * log(E/Eo)

Givens

M = ??

E = 2 * 10^15 joules

Eo = 10^4.4

Solution

M = (2/3) * log(2 * 10^15 / 10^4.4)

M = (2/3 ) log (7.96 * 10 ^ 11)

M = (2/3) * 11.901

M = 7.934

Part B

What the question is saying is that E/Eo = 10000

You don't have to figure out exact values.

M = 2/3 * log(10000)

M = 2/3 * 4

M = 8/3 or 2 2/3 or 2.66667

If you have choices, please list them.

4 0

3 years ago