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2 years ago

Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.

Mathematics

1 answer:

Bumek [7]2 years ago

6 0

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

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10-root18/root2 = a+broot2

Sauron [17]

Step-by-step explanation:

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$\frac{10}{ \sqrt{2} } + \frac{ - \sqrt{18} }{ \sqrt{2} }$

$5 \sqrt{2} + ( \frac{ - \sqrt{18} }{ \sqrt{2} } ) \times \sqrt{2}$

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$b = \frac{ - \sqrt{18} }{ \sqrt{2} }$

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2 years ago

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is

Mice21 [21]

Answer:

Option A is correct.

Step-by-step explanation:

Given an isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. we have to find the area of isosceles trapezoid.

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14.

From the figure attached , we can see an isosceles trapezoid ABCD,

AB = 8cm and CD=14cm

So we have to find the value of AE which is the height of Trapezoid in order to find area.

In ΔAED

$tan\angle 45 =\frac{AE}{ED}$

⇒ $AE=1\times 3$

∴ AE = DE =3cm

$\text{The area of the trapezoid=}\frac{h}{2}\times (a+b)$

h=3cm, a=14cm, b=8cm

$Area=\frac{3}{2}\times(14+8)=\frac{3}{2}\times 22=33 units^2$

hence, $\text{The area of the trapezoid is }33 units^2$

Option A is correct.

3 0

2 years ago

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Find the value of each expression. Show your work.

luda_lava [24]

Answer:

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Step-by-step explanation:

Sadly, I cannot show work, but those are the answers

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2 years ago

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Romashka [77]

Answer:

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Step-by-step explanation:

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lapo4ka [179]

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