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notka56 [123]
3 years ago
5

Use this regular pentagon to answer the questions. A regular pentagon with center point A is shown. Line are drawn from each poi

nt to center point A. Triangle A B C is formed. What is the measure of one of the central angles in the regular pentagon? ° What is the measure of one of the congruent base angles in triangle ABC? °
Mathematics
1 answer:
Kay [80]3 years ago
4 0

Answer:If the questions consits of 36, 54, 72, and 108 it goes as 72 then 54

Step-by-step explanation:

Just did it on edgunity.

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In the equation x + y = 8, find the value of x if y = 3<br><br> 3<br> 5<br> 7<br> 11
snow_lady [41]

Answer:

11

Step-by-step explanation:

x+y=8     y=3

x+3=8

-3     -3

x=11

7 0
3 years ago
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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle
dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0

Similarly, In Triangle BOL

Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0

Equating the Value of h

xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft

Since we have found the value of x, we can now determine the height, h of the tree.

h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet

The height of the tree is 229.23 feet.

5 0
3 years ago
Write a Rule for a Composite Function
zysi [14]

Answer:

C

Step-by-step explanation:

Observing that <em>f</em> has to be placed inside <em>g</em>, we can easily substitute x^2 - 3 in place of the x in x + 1, making it

(x^2 - 3) + 1 which equals

(x^2) - 2

5 0
2 years ago
I need help! Will this would be very appreciated!pls
elena-s [515]

Answer:

No real

solution

Step-by-step explanation:

Firstly, let us check if we would be having a real solution

We start by rewriting the equation

We have this as;

8x^2 -25x + 24 = 0

We proceed to get the discriminant

Mathematically, we have this as;

D = b^2 - 4ac

b is the coefficient of x which is -25

a is the coefficient of x^2 which is 8

c is the last number which is 24

So we have;

D = (-25)^2 - 4(8)(24)

D = 625 - 768 = -143

Since the value of the discriminant is negative, there cannot be real roots

What we have as solution are complex roots

6 0
2 years ago
Please please help please help me help help me please help me
Mumz [18]

Answer:

m = 6

Step-by-step explanation:

m = 9-3 / 1 - 0

m = 6/1

7 0
2 years ago
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