6. Find the mode of the set of data: 55, 56, 45, 51, 60, 53, 63, 70, 62, 58, 63
Grace [21]
6. 63(Could have counted wrong. Mode is the number that appears the most in a set of data)
7. Couldn't solve sorry!
Based on the given conditional statement, the biconditional statement would be The sum of two angles is 180° if and only if the angles are supplementary.
<h3>What is the biconditional statement?</h3>
A biconditional statement takes a conditional statement and restates it while also stating its converse.
To do so, it will often use the words, "if and only if" to emphasize the condition required.
The biconditional statement here is therefore:
" The sum of two angles is 180° if and only if the angles are supplementary."
Find out more on biconditional statements at brainly.com/question/24528571
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V = s^2 +1/2sh
Reorder so common terms are on one side.
s^2 +(sh)/2 = v
Subtract s^2 from both sides.
(sh)/2 = -s^2 +v
Multiply both sides of the equation by 2.
sh = -s^2 *2 +v *2
Simplify each term.
sh = -2s^2 +2v
Divide each term by s and simplify.
h = -2s + (2v)/s
<h3>10(n²+n)-6(n²+2)</h3><h3>10n²+10n-6n²-12</h3><h3>10n²-6n²+10n-12</h3><h3>4n²+10n-12</h3>
please mark this answer as brainlist
Answer:
r = (ab)/(a+b)
Step-by-step explanation:
Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).
Using the Pythagorean theorem, we can write the relation ...
((a-r) +(b-r))^2 = (2r)^2 +(b -a)^2
a^2 +2ab +b^2 -4r(a+b) +4r^2 = 4r^2 +b^2 -2ab +a^2
-4r(a+b) = -4ab . . . . . . . . subtract common terms from both sides, also -2ab
r = ab/(a+b) . . . . . . . . . divide by the coefficient of r
The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).
_____
The graph in the second attachment shows a trapezoid with the radius calculated as above.
