Area=width*length. Let width=x ft, then length=3x ft, given the information in the problem. The area of basement=x*3x=768, 3x^2=768, x^2=256, x=16. The width is 16 feet. Therefore, length=3x=3*16=48 feet.
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Answer:
∠16 = 47°
Step-by-step explanation:
Vertical and corresponding angles are congruent. The remainder are supplementary to those.
∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°
∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
</span>

Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:

We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
<u>The center of dilation</u>
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
<u>The scale factor of dilation</u>
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:


So, the scale factor (k) from large to small is:


Read more about dilation at:
brainly.com/question/13176891
Answer:
Irrational: √2 = 1.4
Step-by-step explanation: