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8_murik_8 [283]
3 years ago
5

Which description does NOT guarantee that a trapezoid is isosceles?

Mathematics
1 answer:
babunello [35]3 years ago
3 0

A trapezoid is isosceles if and only if

(1) The base angles are congruent

(2) The diagonals are congruent

(3) The opposite angles are supplementary

So the description does not guarantee that a trapezoid is isoceles for "Congruent bases".

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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Find x when - 1/2 + x = - 21/4
lbvjy [14]

Step-by-step explanation:

-1 / 2 + x = -21 /4

x = -21/4 + 1/2

x = (-21 + 2)/4

x = -19/4

4 0
3 years ago
How to write into an equation
Rama09 [41]

\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74

5 0
3 years ago
Show the correct steps to simplify this problem.
KengaRu [80]
Do 12-5 then 6.4 then 2.2 then whatever answer you get for 12-5 multiply it by the answer you get for 6.4 then subtract whatever answer you get for 2.2 hope this helps!
7 0
3 years ago
What is 18:14 equal to _:56?
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56÷14 = 4 so 18×4 = 72. The answer is 72:56
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3 years ago
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