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GarryVolchara [31]
3 years ago
13

I need help finding unknown angle measures. Please help picture of problem is here.

Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

x=30 , <HFC= 120 , <DBG=60

Step-by-step explanation:

First when I take a look at these types of problems I always make sure to look around and see if there is anything that can help me.

A very key thing to remember is that all angles that are on a line will = 180

So looking at the angles and just normal geometry rules you can know that 2x+4x=180 cause the inner angles add up to 180.

So then if 6x=180 then divide by 6 to get 30 for finding x!

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Step-by-step explanation:

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3 years ago
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The back of jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing f
kow [346]

Answer:

The maximum possible area of the pasture  is 26,450 feet square.

Step-by-step explanation:

Let us assume the width of the rectangular area  = m  ft

and the length of the area = k ft

Also assume:  ( one side with k units IS NOT FENCED)

So, the total  perimeter of the fencing is:

2 m + k = 460

or, k = 460 - 2m  ........ (1)

Now, AREA OF THE RECTANGULAR PORTION = Length x  Width  = k x m

Put  k =  460 - 2m

We get:   A = m (460 - 2m)

or, A =  460 m  - 2m²

We need to find the maximum for the parabolic function A = 460 m  - 2m²

The function has a maximum value as the quotient in front of x^2 is negative: -2 < 0

A (max)  = c-\frac{b^2}{4a}   where a = -2, b = 460, c = 0

= -\frac{(460)^2}{4(-2)}  = 26,450

A max = 26,450 sq ft.

The maximum possible area of the pasture  is 26,450 feet square.

7 0
4 years ago
Part A<br> Find the value of x in the following figure:<br> Part B<br> Find Y:
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I hope it's helps you

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Answer:

The balance amount owed on the credit card altogether =  $258.43

Step-by-step explanation:

Here, the current amount owed on the credit card = $225.45

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⇒ New amount owed on credit card  = Previous Debt + New Purchase

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Hence, the balance amount owed on the credit card  =  $258.43

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