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Gelneren [198K]
2 years ago
7

NEED HELP! (Question is on attached image and I WILL mark brainliest.)

Mathematics
1 answer:
asambeis [7]2 years ago
7 0

Answer:

• let's consider m‹FBD

{ \tt{m \angle FBD  = 180 \degree -   m \angle ABF}}

• Then let's consider m‹GFE

{ \tt{m \angle GFE  =  180 \degree - m \angle HGF}}

but AD||HE, therefore:

{ \tt{m \angle FBD + m \angle GFE = (180 \degree - m \angle ABF) + (180 \degree - m \angle HGF)}}

but m‹ABF ≈ m‹HGF

{ \tt{2(m \angle FBD) +2( m \angle GFE) = 180 \degree + 180 \degree}} \\  \\ { \tt{2(m \angle FBD + m \angle GFE) = 360 \degree}} \\  \\ { \tt{m \angle FBD + m \angle GFE =  \frac{360 \degree}{2} }} \\  \\ { \boxed{ \boxed{ \bf{m \angle FBD + m \angle GFE = 180 \degree}}}}

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Which of the following is a reflection of ( 2,4 ) across the x-axis?
fiasKO [112]

Answer:

(2,-4)

Step-by-step explanation:

(2,4) is located in Quadrent I (+,+), if you reflect over the x-axis, it would be in Quadrent IV (+,-).

if you dont understand I suggest you draw a coordinate plane on a graphing notebook.

7 0
3 years ago
A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio
Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

brainly.com/question/16450098

#SPJ4

3 0
2 years ago
PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumfe
Rzqust [24]

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

⇒ radius=\frac{diameter}{2}

⇒ x+6=\frac{3x+5}{2}

⇒ 2\times (x+6)=\frac{3x+5}{2}\times 2

⇒ 2x+12=3x+5

⇒ 12-5=3x-2x  ...<em>Arranging variables and constants. </em>

⇒ 7=x

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = 2\pi r= 2\pi (13) = 26 \pi        Or

⇒ Circumference = \pi d=\pi (26)=26\pi

The circumference of the circle = 26π unit.

4 0
2 years ago
20,000 has been placed in a bank account that earns 5.7% interest. How much money will be in the account if it is compounded sem
tamaranim1 [39]

Answer:

$25 821.69

Step-by-step explanation:

The formula for the future value (FV) of an investment is

FV =PV(1 + r/n)^nt

FV = 20 000(1 + 0.087/2)^(2×3)

FV = 20 000(1 + 0.0435)⁶

FV = 20 000(1.0435)⁶

FV = 20 000 × 1.291 0847

FV = $25 821.69

5 0
3 years ago
What does n ≥ 1 stand for in a sequence?
AleksandrR [38]

Step-by-step explanation:

it means n that you are solving for is greater than 1

8 0
3 years ago
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