<span>Circle D circumscribes ABC and ABE, The statements that best describe the triangles are:
</span><span>Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE.
Statement II: The distance from C to D is the same as the distance from D to E. Hence, each of them (CD and DE) is a radius of the given circle.
So, the answer is the second option, I and II.
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The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
The correct answer is: [D]: " x² – 5x – 24 " .
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Explanation:
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Given: " (x + 3)(x – 8) " ; expand :
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Note: (a + b) (c + d) = ac + ad + bc + bd .
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a = x ;
b = 3 ;
c = x
d = 8
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" (x + 3)(x – 8) " ;
= (x * x) + ( -8 * x) + ( 3 * x ) + (3 * -8) ;
= x² + (-8x) + 3x + (-24) ;
= x² – 8x + 3x – 24 ;
→ Combine the "like terms" :
– 8x + 3x = – 5x ;
And simplify the expression;
to get:
→ " x² – 5x – 24 " ; which is: Answer choice: [D]: " x² – 5x – 24 " .
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ok so first we find the volume of the prism which is just LWH which means u multiply them all so you would get 1 1/2 x 1 x 2 1/2 which equals 3.75.
Then we find out the small cube which is 1 1/2 x 1 1/2 which equals 2.25
Then you divide 3.75 by 2.25
So 1.67 small cubes can fit in the rectangular prism
so for part B just multiply the small cube volume by 1.67 and you will get approximently 3.75
The degree of the polynomial is 3
