Toby equals 20 dollars and Mark equals 32 dollars. We need to find a number that is both divisible by 32 and 20.
Table A:20, 40, 60, 80, 100, 120, 140, 160
Table B:32, 64, 96, 128, 160.
Both numbers have 160, so find how much of what goes into it. 8 paintings from Toby and 5 from Mark.
Answer:
B
Step-by-step explanation:
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By comparing the right triangle ABC with the triangle XYZ, we will see that:
<h3>
How to find the given segments?</h3>
So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.
Also, remember that for right triangle we have the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Now, the problem tells us that:
tan(x) = 5/2.5
For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.
Then we have:
YZ = 5
XY = 2.5
Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:
AC = 2*XY = 2*2.5 = 5
CB = 2*YZ = 2*5 = 10
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
The distributive property: a(b + c) = ab + ac
(x - 3)(4x + 2) = (x)(4x + 2) + (-3)(4x + 2)
= (x)(4x) + (x)(2) + (-3)(4x) + (-3)(2) = 4x² + 2x - 12x - 6
<h3>= 4x² - 10x - 6</h3>