Answer:
<em>The third choice gives the correct sequence.</em>
Step-by-step explanation:
<u>The Number Line</u>
To represent numbers in the line, we use arrows starting from the mark for zero up to the given number. If the number is positive, the arrow points to the right and if the number is negative, the arrow points to the left.
The number -3 must be represented as an arrow to the left side of length 3. Subtracting something from the number should also point to the left side, but if the number is negative, then the new arrow points to the right side.
To subtract -1, the arrow should point to the right starting from -3
The third choice gives the correct sequence.
By solving a system of equations, we will see that the width is 170ft and the length 275 ft.
<h3>
How to get the dimensions of the base?</h3>
For a rectangle of length x and width y, the perimeter is:
P = 2*(x + y).
Here we know that:
x = 2y - 65ft
p = 890ft = 2(x + y)
So we have a system of equations.
To solve this, we need to replace the first equation into the second one:
890ft = 2(x + y)
890ft = 2(( 2y - 65ft) + y)
Now we can solve this for y.
890ft = 4y - 130ft + 2y
890ft + 130ft = 6y
1020ft/6 = y = 170ft
So the width is 170ft, and we know that:
x = 2y - 65ft = 2*(170ft) - 65ft = 275ft
So the length is 275 ft.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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6t+12-4t
Use the distribution property.
Answer: x = 2
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Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
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Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
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Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
