Answer:
B. More than one quadrilateral exists with the given conditions, and all instances must be isosceles trapezoids.
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary. They are only congruent if the parallelogram is a rectangle. In this problem, adjacent angles are both congruent and acute. If this were a triangle, it would guarantee the triangle is isosceles.
The fact that opposite angles are supplementary guarantees that the fourth side of the figure is parallel to the base between the acute angles. That makes the figure an isosceles trapezoid. Unless specific angles and side lengths are specified, the description matches <em>any</em> isosceles trapezoid.
The answer is: " - (4/3) " .
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Explanation:
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The original equation given has a slope of (3/4).
Note: We know this since the equation for the slope of the line is written in "slope-intercept form" ; also known as: "point-slope form"; that is:
" y = mx + b " ; in which "m" (the coefficient of "x") is the slope.
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The slope of a line PERPENDICULAR to an equation, when written in "slope-intercept form", is the "negative reciprocal" of the slope of the original line.
Hence, the negative reciprocal of "(3/4)" is: "-(4/3)" .
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Answer:
D
Step-by-step explanation:
Answer:
The sequence above is a geometric sequence
For an nth in a geometric sequence
where n is the number of terms
a is the first term
r is the common ratio
From the question
a = 45
r = 15 / 45
The explicit formula for the sequence is
U(n) = 45(1/3)^n-1
Hope this helps you
Answer:
The correct answer is
Step-by-step explanation:
Snow cone holders are sold in sleeves of 50.
The cones have a slant height (l) of 5 inches and a radius (r) of 3 inches.
Surface area of each cone holder = π × r × l = π × 15 = 15π square inches.
Surface area of all 50 cones in the sleeve = 15π × 50 = 750π = 2357.143 square inches.
Thus 2357.143 square inches pf paper would be necessary for each sleeve each having 50 cone holders.
