The inequality should read:
Subtract 2 from all the terms:
Divide all the terms by -5 to get x by itself (note that you flip the inequality signs as you divide by a negative):
The inequality is 2 ≤ x < 8.
A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.
The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.
Answer:
50%
Step-by-step explanation:
Answer:
3 i think
Step-by-step explanation:
looked in photomath
Answer:the length of the shorter string= 36cm
Step-by-step explanation:
Let us assume the lengths are 2x and 7x since thery are in the ratio of 2 :7
Such that Length of the shorter string = 2x
and the longer string = 7x so that the difference in Length which is 90cm can be expressed as
7x- 2x= 90
5x= 90
x 90/5
x= 18
shorter string = 2 x = 2x 18= 36cm
Longer strring = 7x 18=126cm
<h3>
Answer: Check out the diagram below.</h3>
Explanation:
Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.
The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.
Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.
The same set of steps will have us construct point C' as well. AC doubles to AC'
Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.
Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.
