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Tomtit [17]
3 years ago
11

What is the solution to this inequality?

Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer: x>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x−5>−29

Step 1: Add 5 to both sides.

6x−5+5>−29+5

6x>−24

Step 2: Divide both sides by 6.

6x/6>-24/6

<h3>x>-4</h3>
You might be interested in
Evaluate <br> 12^2<br><br> 1. 144<br> 2. 24<br> 3. 266
pogonyaev

Answer:

The answer is 144

Step-by-step explanation:

12*12

12²

144

6 0
3 years ago
Find the measure of each bolded arc. Round to the nearest hundredth
vladimir1956 [14]

Answer:

Arc Length = 68.7

Step-by-step explanation:

The formula that is used to find the arc length:

s = (θ/360) * 2πr

(You would get the value of θ, by subtracting 57 from 360)

(You would get r by dividing 26 by 2)

Now we can solve this;

s = (303/360) 2π(13)

s = 0.842 * 2π(13)

s = 0.842 * 0.283(13)

s = 68.7

Hope this helps!

5 0
3 years ago
Question 1
Ahat [919]

Answer: x = 22


Explanation:


1) Corresponding sides and correspoding angles of congruent triangles are equal.


2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.


That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:


  • ∠A and ∠D are congruent
  • ∠B and ∠ E are congruent
  • ∠C and ∠F are congruent
  • Segment AB and segment DE are congruent
  • Segment BC and segment EF are congruent
  • Segment AC and segment  DF are congruent

In the figures, it is given that the segment DF measures (1/2)x  - 1 and the corresponding segment AC measures 10 units.


Hence, you set this equation: (1/2)x - 1 = 10


Solving for x:

  • (1/2)x = 10 + 1
  • (1/2)x = 11
  • x = 2(11)
  • x = 22 ← answer
5 0
4 years ago
Asim used 324 ft? of carpet for his living room floor. The living room floor
dybincka [34]

Answer:

Hey there!

Area of a square: Length(Length)

324=Length^2

Length=18 ft.

Let me know if this helps :)

8 0
3 years ago
Read 2 more answers
The resistance, R of a wire varies directly as the length, l, and inversely as the diameter, d, squared. If R is 1.50ohms when l
tatyana61 [14]

Answer:

resistance is 1.5 ohms (1.5 Ω)

Step-by-step explanation:

R varies directly with l

R varies inversely with d^2

We can set-up a proportionality statement as shown below:

R=k\frac{l}{d^2}

Now, Given,

R = 1.50

l = 2

d = 1.5

We substitute and find k (the proportionality constant):

R=k\frac{l}{d^2}\\1.5=k\frac{2}{1.5^2}\\1.5=\frac{2k}{2.25}\\2k=1.5*2.25\\2k=3.375\\k=1.6875

Now, we will use this value of k to solve the problem.

Given,

l = 8

d = 3

and

k = 1.6875

We find R:

R=k\frac{l}{d^2}\\R=1.6875\frac{8}{3^2}\\R=\frac{1.6875*8}{9}\\R=1.5

The resistance is 1.5 ohms (1.5 Ω)

3 0
3 years ago
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