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Tresset [83]
3 years ago
8

9x-4x<3+-11-2 how to do this

Mathematics
2 answers:
raketka [301]3 years ago
3 0
This is the Answer: 5x < -10
Vladimir [108]3 years ago
3 0
Answer: x<-16/5

9x-4x=5x

3-11-2=-16
 so... 5x<-16
divide by 5
x<5/16
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Conti. 7-10 thanks a lot! <br><br>unhelpful answers will be deleted.​
Marysya12 [62]

Answers:

10. b. \displaystyle 13

9. b. \displaystyle 20

8. a. \displaystyle 33

7. a. \displaystyle 25°

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x

Plug this back into the equation to get \displaystyle 13on both sides.

9. All edges in a square obtain congruent right angles and edges, so set \displaystyle 45equivalent to the given expression:

\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}

7. In this rectangle, segment <em>EO</em><em> </em>is a segment bisectour, making these angles <em>Complementary</em><em> </em><em>Angles</em><em>.</em><em> </em>Therefore, set an equation up to find its complement:

\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}

I am joyous to assist you at any time.

3 0
2 years ago
Find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Ierofanga [76]

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

  • a = 1
  • b = 2
  • Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

6 0
3 years ago
Read 2 more answers
a map shows the town where niko lives. the actual distance from niko's house to his school is 3miles, and measures one-half inch
garri49 [273]

6 miles = 1in

9 miles = 1 1/2in

12 miles = 2in

and it goes on, hope this helps!

6 0
3 years ago
Read 2 more answers
What is the surface area of this net?
balandron [24]

Answer:

It is 27.4

Step-by-step explanation:

First you need to find the area of the three rectangle.

Area=base*high

You do 4*2 for about 3 times

Which is 8 for 4*2

Then you multiply it 3 more time and get 24.

After that you add 24+1.7+1.7 and get 27.4

4 0
3 years ago
The population of turtles is doubling every 3 months. If there are 400 turtles now, how many will there
QveST [7]

First we need to know how many months is 2 years. To answer that we multiply the number of months in a year by 2 and get 48 months.

Every 3 months the population of turtles doubles, but to get how many times the population doubles, you need to divide 48 months by 3 to get 16.

So population of 400 will get <u>doubled</u> 16 times in the following <u>two</u> years.

We construct the following equation where p is the final population,

p=400\cdot2\cdot16=\boxed{12800}

Hope this helps. :)

4 0
3 years ago
Read 2 more answers
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