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valkas [14]
3 years ago
7

Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer: \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}

Step-by-step explanation:

2x-5\le \:-x+12

2x\le \:-x+17\\

2x+x\le \:-x+17+x

3x\le \:17

\frac{3x}{3}\le \frac{17}{3}

x\le \frac{17}{3}

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Find the length of the third side to the nearest tenth.<br> Need help hurry!!
Katen [24]

Answer:

6.7

Step-by-step explanation:

Given is a right angled triangle.

So by Pythagoras theorem:

Length of the third side

=  \sqrt{ {7}^{2} -  {2}^{2}  }  \\  \\  =  \sqrt{49 - 4}  \\  \\  =  \sqrt{45}  \\  \\  = 6.70820393 \\  \\  \approx 6.7

4 0
3 years ago
The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of yo
Simora [160]

Using the concept of proportional, it is found that the value of x  for the given similar triangles is 2.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Since two triangles ΔACD and ΔABE are similar triangles, then their corresponding sides will be proportional.

Therefore, AC/ AB = AD / AE

By substituting the measures of the sides here;

AC/ AB = AD / AE

(x + 10) / 10 = (15 +3) / 15

15(x + 10) = 180

x + 10 = 12

x = 12 - 10

x = 2

Therefore, the value of x  for the given similar triangles is 2.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ1

4 0
1 year ago
Can someone help me on this! plz help me and tell me how u got the answer.
inn [45]

Answer: The last choice, 2x + 3y = 10

Step-by-step explanation: This equation will have the same slope. The line will be parallel to the original side , just higher up on the grid.

7 0
3 years ago
(1, 1) and (5, 7) can somebody help
Murljashka [212]

Answer:

1×5 + 1×7 +1×5 +1×7

5+7+5+7 : 24

7 0
3 years ago
On Monday, 490 students went on a field trip to the zoo. All 9 buses were filled and 4 students had to travel in cars. How many
pickupchik [31]
Alright so 4 students rode in cars so do 490-4=486
Now do 486 (# of students riding bus) divided by 9 (how many buses) which gets u 54
So 54 students were on each bus
5 0
4 years ago
Read 2 more answers
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