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77julia77 [94]
3 years ago
14

Two column proof:

Mathematics
1 answer:
gulaghasi [49]3 years ago
8 0

Answer:

Given : BRDG is a kite that is inscribed in a circle,

With BR = RD and BG = DG

To prove : RG is a diameter

Proof:

Since, RG is the major diagonal of the kite BRDG,

By the property of kite,

∠ RBG = ∠ RDG

Also, BRDG is a cyclic quadrilateral,

Therefore, By the property of cyclic quadrilateral,

∠ RBG + ∠ RDG = 180°

⇒ ∠ RBG + ∠ RBG = 180°

⇒ 2∠ RBG = 180°

⇒ ∠ RBG = 90°

⇒ ∠ RDG = 90°

Since, Angle subtended by a diameter or semicircle on any point of circle is right angle.

⇒ RG is the diameter of the circle.

Hence, proved.

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valina [46]

By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.

<h3>How to find the missing side?</h3>

By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:

z² = x² + y²

Also, the sides of this right-angled triangle are:

  • Hypotenuse = 14 inches.
  • Opposite side = x inches.
  • Adjacent side = 7 inches.

Substituting the given parameters into the formula, we have;

14² = x² + 7²

196 = x² + 49

x² = 196 - 49

x² = 147

x = √147

x = √49 × √3

x = 7√3 inches.

Read more on Pythagorean theorem here: brainly.com/question/23200848

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3 0
1 year ago
The total length of wire needed to fasten 175 bundles is 2,975 cm.
UkoKoshka [18]

According to the conversion table we know,

1 meter = 100cm

This means if we need to convert meters to centimeters, we need to multiply by 100

Or

If we need to convert from centimeters to meters, we need to divide by 100.

Here the length of the wire needed to wrap 175 bundles = 2975 cm.

Now as we need to convert it to meters.

We need to divide this by 100.

We get

2975/100= 29.75

So 2975 cm = 29.75 m

Option D) is the right answer

3 0
3 years ago
Read 2 more answers
Brad is putting up a 14 foot diameter circular flower garden in his yard. What is the area of brads garden ?
Lapatulllka [165]

Answer:

The area is about 153.938

Step-by-step explanation:

To find the area of a circle, you have the equation

πr squared

the diameter is 14, so the radius is 7.

pi 7 squared is equal to about 153.938

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4 0
3 years ago
6) 8x + 38 =-34-6 - 4x)​
nlexa [21]

Answer:

-6.5 would be your answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
SS
Tanzania [10]

Answer:

c = 160 - 3(45)

Step-by-step explanation:

if c = the number of characters left;

160 = maximum number of characters that can be used in a text

3*45 = number of characters in sentences already used. (There are 3 sentences of 45 characters.)

(# of char left) = (max # char) - (# char already used) so:

c = 160 - 3*(45)

c = 160 - 135

c = 25

8 0
3 years ago
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