This figure is 14 of a circle. What is the best approximation for the perimeter of the figure? use 3.14 to aproximate pi.

1/4 divided by 2/6 in simplest form

Nuetrik [128]

Answer:

1/4*6/2=6/8

3/4

Step-by-step explanation:

3 0

9 months ago

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I need help with geometry. Find x.

I am Lyosha [343]

Answer:

Part 9) $x=5$

Part 10) $x=-9$

Step-by-step explanation:

we know that

The Midpoint Theorem states that: The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

Part 9) we know that

Point Q is the midpoint segment XY (QY=QX)

Point R is the midpoint segment XW (RW=RX)

Applying the Midpoint Theorem

RQ is parallel to WY

and

$RQ=\frac{1}{2}WY$

we have

$RQ=2x-3\\WY=x+9$

substitute

$2x-3=\frac{1}{2}(x+9)$

solve for x

$4x-6=(x+9)$

$4x-x=9+6$

$3x=15$

$x=5$

Part 10) we know that

Point B is the midpoint segment TS (BS=BT)

Point C is the midpoint segment RS (CS=CR)

Applying the Midpoint Theorem

BC is parallel to TR

and

$BC=\frac{1}{2}TR$

we have

$BC=x+19\\TR=x+29$

substitute

$x+19=\frac{1}{2}(x+29)$

solve for x

$2x+38=(x+29)$

$2x-x=29-38$

$x=-9$

5 0

3 years ago

A goat enclosure is in the shape of a right triangle. One leg of the enclosure is built against the side of the barn. The other

Sonbull [250]

Answer:

The lengths are

8 + 8[root]3 , 12 + 8[root]3 and 20 + 8[root]3.

Step-by-step explanation:

Let the side against the barn be xft

We were told that the adjacent side is 4ft more than the side against the barn. This means it has a length of (x + 4)ft.

Lastly, we are told that the hypotenuse is 8ft longer than the side along the barn I.e (x + 4 + 8)ft = ( x + 12)ft.

Since the three lengths form a triangle, the square of the hypotenuse equals the square of the adjacent side plus the square of the opposite side. This is the pythagoras' theorem.

Mathematically, this can be written as follows:

(x + 12)^2 = x^2 + (x + 4)^2

This yields x^2 + 24x + 144 = x^2 + x^2 + 8x + 16

x^2 + 24x + 144 = 2x^2 + 8x + 16

Rearranging this will yield:

x^2 - 16x - 128 = 0

Using the quadratic formula yields the following values for x :

8 - 8[root]3 and 8 + 8[root 3]

Since the first is negative, we discard it and the only correct value of x is 8 + 8[root]3

Now the other length is 12 + 8[root]3 and 20 + 8[root]3.

4 0

3 years ago

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You're planning to buy a boat, a motor, and some miscellaneous boating equipment. The boat costs $325, the motor costs $225, and

arlik [135]

325 + 225 + 79 = 629
629 - 438 = $191
= A. $191

7 0

3 years ago

What angles can form a triangle

Dimas [21]

Answer:

The right triangle: The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

5 0

3 years ago