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3 years ago

Find x in the given figure. (The vertical chord is a diameter.)

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

Step-by-step explanation:

Let the center of the circle be point O.

A right-angled triangle can be drawn using one side of chord X as the base and its height up to point O.

The height of the triangle will be 4 - 2 = 2, and the hypotenuse is the radius of the circle, which is 4.

By Pythagoras' Theorem, 2^2 + (X/2)^2 = 4^2.

So (X/2)^2 = 14, and X = 2√14.

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Can anyone help me with this question please

klemol [59]

Answer:

7. ∠CBD = 100°

8. ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°

Step-by-step explanation:

7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.

Then the congruent base angles of isosceles triangle ABC will be ...

∠B = ∠C = (180° -20°)/2 = 80°

The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...

∠CBD = 180° -80°

∠CBD = 100°

8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:

∠CBD = ∠BCE = 100°

∠CED = ∠BDE = 80°

8 0

3 years ago

Three people invest in a treasure dive, each investing the amount listed below. The dive results in 40 gold coins. Apportion tho

garri49 [273]

Answer:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

Step-by-step explanation:

We know that the dive results in 40 gold coins.

We know that:

Alice: $7,600 Ben: $5,900 Carlos: $1,400.

So they have $ 14900 in total.

Now we will divide that money by 40.

$x=\frac{14900}{40}\\\\x=372.5$

So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.

$A=\frac{7600}{372.5}=20.4\\\\B=\frac{5900}{372.5}=15.8\\\\C=\frac{1400}{372.5}=3.75\\$

We conclude that:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

6 0

3 years ago

-4=b/2 <br> a)-8<br> b)-2<br> c)2<br> D)8

Kitty [74]

Answer : A {-8}

-4 = b/2

-4 *2 = b

-8 = b

7 0

3 years ago

Which is greater 192 inches or 5yards and 1 foot

makvit [3.9K]

1 yard = 36 inches. We have 5 yards, so 5x36 = 180

1 foot = 12 inches.

So the base 192 is largest.

3 0

3 years ago

Find the scale factor of the similar polygons. Simplify your answer. (Hint: New/Old)

Alenkasestr [34]

1.5 :) :) :) :) :) :)

7 0

3 years ago