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astra-53 [7]
3 years ago
6

Which are correct representations of the inequality 6x > 3 + 4(2x - 1)? Select three options.

Mathematics
2 answers:
inessss [21]3 years ago
6 0

Answer:

1,2,and 3

Step-by-step explanation:

It's a correct answer.

viktelen [127]3 years ago
6 0

Answer:

Option 1,2, and 3

Step-by-step explanation:

Given : Inequality 6x \geq 3 + 4(2x - 1)

To find : Which are correct representations of the inequality?

Solution :

Inequality 6x \geq 3 + 4(2x - 1)

Solving the inequality by opening the bracket,

6x \geq 3 +8x -4

Option 2 is correct.

6x \geq 8x -1

1\geq 8x -6x

1\geq 2x

Option 1 is correct.

\frac{1}{2}\geq x

x\leq \frac{1}{2}

x\leq 0.5

A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.

Option 3 is correct.

Therefore, Option 1,2, and 3 is correct.

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Pentagon RSTUV is circumscribed about a circle. What is the value of x if RS = 10, ST = 13, TU = 11, UV = 12, and VR = 12?
Kobotan [32]

Answer:

Step-by-step explanation:

The value of x is 7 ⇒ 1st answer

Step-by-step explanation:

* Lets revise a fact in the circle

- The two tangents drawn from a point out side the circle are equal

∵ RSTUV is circumscribed about a circle

∴ Each side of the pentagon is a tangent to the circle

- Look to the attached figure to know how we will solve the problem

- Each tangent divided into two parts

# RS = x + y

∵ RS = 8

∴ x + y = 8 ⇒ (1)

# RV = x + n

∵ RV = 12

∴ x + n = 12 ⇒ (2)

- Subtract (2) from (1)

∴ y - n = -4 ⇒ (3)

# ST = y + z

∵ ST = 12

∴ y + z = 12 ⇒ (4)

# TU = z + m

∵ TU = 15

∴ z + m = 15 ⇒ (5)

- Subtract (5) from (4)

∴ y - m = -3 ⇒ (6)

# UV = m + n

∵ UV = 9

∴ m + n = 9 ⇒ (7)

- Add (6) and (7)

∴ y + n = 6 ⇒ (8)

- Lets solve equation (3) and equation (8) to find y

∵ y - n = -4 ⇒ (3)

∵ y + n = 6 ⇒ (8)

- Add (3) and (8)

∴ 2y = 2 ⇒ divide two sises by 2

∴ y = 1

- Lets substitute the value of y in equation (1)

∵ x + y = 8 ⇒ (1)

∵ y = 1

∴ x + 1 = 8 ⇒ subtract (1) from both sides

∴ x = 7

* The value of x is 7

plz mark me as brainlyist thxx

7 0
3 years ago
Read 2 more answers
Explain how knowing 1+7 helps you find the sum for 7+1
maksim [4K]
Because there both addition
6 0
3 years ago
Can you please Help!!!! 20 points!!!!!!
Mademuasel [1]

Answer:

I'm doing the same thing and, I don't understand it either.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST IF CORRECT ANSWER! How many solutions??
sammy [17]

Answer: infinite

Step-by-step explanation: since they have the same slope and y interscept it is a coincident line and has infinite solutions

y= 4-x

y= 4-x

4 0
3 years ago
Read 2 more answers
A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?
Vilka [71]

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

a^{2} +b^{2} =c^{2}

since we know a and b are the same length (sides of a square are congruent) we would have

a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}

We know that c is 14 so

2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999

5 0
2 years ago
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