The answer is: [A]: "right [triangle]" .
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Explanation:
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Given: Side lengths:
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" <span>24 in., 32 in., and 40 in " ;
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Divide each side length by "8" ;
</span><span>
24 in. / 8 = 3 in. ;
32 in. / 8 = 4 in. ; and
40 in. / 8 = 5 in. .
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3 in . , 4, in, 5 in. ; is a "right triangle" ;
since: 3</span>² + 4² = 5² ;
→ 9 + 16 = 25 ;
according to the Pythagorean theorem: " a² + b² = c² " .
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Answer: x = 15
Step-by-step explanation:
First, we will have to acknowledge that Angle M is a complementary angle (that means that it is 90 degrees) meaning that 2x° + 4x° will equal 90 degrees. So, let’s set up this equation.
90 = 2x + 4x
90 = 6x
= 
15 = x
Therefore, the x is 15.
The equation of the line with slope m and passing through the point 
is
Since m=6 and the coordinates of the point are (8,3), then the equation is
Answer: correct choice is B.
Answer:
a) M =82
Step-by-step explanation:
Let´s study this as a Normal distribution.
As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))
where
X = mean for the taken sample = What we want to know in this problem
μ = Total population mean =80
sd= standard deviation= 12
n = sample size=9
So in this case z=( X-80)/(12/sqr(9))= (X-80)/4
also we know that the effect size taken by the machine is 0.5, which is the same as the z-score
so...
0.5 = (X-80)/4 => 0.5*4 = X-80
2+80 = X
X = 82
Answer: The answer is (A) ∠T.
Step-by-step explanation: Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.
In the two polygons, the corresponding vertices are
A ⇒ T
B ⇒ V
C ⇒ S
D ⇒ R
E ⇒ K.
Therefore, ∠EAB, which is ∠A will correspond to ∠T.
Thus, the correct option is (A) ∠T.
