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Dmitry [639]
3 years ago
12

Solve the inequality: -2 (2x – 4) < 4 (2 - x).

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
5 0

- 4x + 8 < 8 - 4x

First, we multiply -2 in (2x-4) and 4 in (2-x) first.

- 4x + 4x < 8 - 8

0 < 0

The inequality is false. Therefore there are no solutions.

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Use interval notation to express the following:<br> The set of all numbers less than 2.
AlexFokin [52]

Answer:

( - infinity, -3 ] [ -2, infinity )

square bracket means it includes the end point.

Step-by-step explanation:

(-∞, -3]U [-2,∞)

3 0
3 years ago
Pleaseee help :) !!
Law Incorporation [45]

<u>Answer:</u>

P = 61.9°

<u>Step-by-step explanation:</u>

We are given a right angled triangle, ΔPQR, with known side lengths for all three sides and we are to find the measure of angle P.

For that, we can use sin, cos or tan.

sin P = \frac { 15 } { 17 }

sin P = 0.882

P = sin' ( 0 . 882 )

P = 61.9°

5 0
3 years ago
What is the relationship between the 6s in the number 660,472
scoundrel [369]
<u><em>Answer:</em></u>
The first 6 is 10 times greater than the second one

<u><em>Explanation:</em></u>
The given number is 660,472
<u>This number can be rewritten as:</u>
660,472 = 600,000 + 60,000 + 400 + 70 + 2

<u>Now, comparing this to the place-value chart shown in the attached image, we would find that:</u>
The first 6 represents the hundred thousands of the number
The second 6 represents the ten thousands of the number
The 0 represents the thousands of the number
The 4 represents the hundreds of the number
The 7 represents the tens of the number
The 2 represents the ones of the number

<u>Now, we are comparing the values of the 6s:</u>
The first 6 represents the hundred thousands of the number
The second 6 represents the ten thousands of the number
<u>This means that:</u>
The first 6 is 10 times greater than the second one

Hope this helps :)

5 0
4 years ago
Fran has a monthly income of $2940, and budgets 9% of that amount for groceries.
notsponge [240]

Answer: $265

Step-by-step explanation: Fran has a monthly income of $2940, and she budgets 9% of it for groceries. 9% of $2940 is $265 dollars.

Hope this helps!

7 0
3 years ago
Find the measure of the numbered angles in the rhombus. The diagram is not to scale.
Temka [501]
Check the picture below.

a rhombus has a few features, the diagonals meet at right-angles, that means angle 1 is clearly a right-angle.

because the rhombus is just a slanted square, namely, even though it's slanted, the sides are all equal in length, and because of that, the angles on the 2 locations, will be smaller than the angles at the 3 locations.

since the rhombus has 4 congruent triangles, we can check any of those, keeping in mind that the sum of their interior angles must be 180°.  So whatever ∡2 and ∡3 are, they must add up to 90, and ∡2  being the smaller one.

so 90° and 41° and 49°, gives us 90 + 41 + 49 = 180.

4 0
3 years ago
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