Answer: 12, 15, 11, 28
Explanation:
14. FC is half of AC so the length of FC is 12.
15. BD is 30 and half of that is BC or 15. AB and BC have same length so it is also 15.
16. ED and BE have same length so it is also 11.
17. BD is twice of AB so if AB is 14, BD will be 28.
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Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality
First, draw the dotted line
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality
First, draw the solid line
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
Y = x^2 - 64
x^2 - 64 = 0
x^2 = 64
x^2 = 8^2
x = 8 and x = -8
answer is B. x = 8 and x = -8
Answer:
AS IT IS RIGHT ANGLE .
THEREFORE, 1 ANGLE =90°
A=55°,
LET LAST ANGLE BE Y.
THEREFORE, Y=90-55=35°
RATIO OF A:Y=55:35=11/7
RATIO OF ANÔTHER SIDE :X=11:7
HYPOTENOUES=8
THEREFORE8^2=11X^2+7X^2
64=121X^2+49X
Larger triangle’s base length
a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________
Smaller triangle’s base length:
The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
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The finale!
Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)
Good luck to you!