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AysviL [449]
4 years ago
6

Need An Answer ASAP ... THANK YOU !!!

Mathematics
1 answer:
lozanna [386]4 years ago
8 0

Answer:

∠EFG = 48°

Step-by-step explanation:

As FH bisects ∠EFG , ∠EFH = ∠HFG .

We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°

Also, ∠HFG  + ∠EFH = ∠EFG

=> 2(-5x + 89)° = (61 - x)°

=> -10x + 178 = 61 - x

=> 10x - x = 178 - 61

=> 9x = 117

=> x = 117 / 9 = 13

Putting the value of 'x' in ∠EFG gives :-

(61 - x)° = (61 - 13)° = 48°

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If m(x)=x 5/x-1 and n(x) = x – 3, which function has the same domain as (m*n)(x)
Tatiana [17]
<span><u><em>Answer:</em></u>
m(x) has the same domain as (m*n)(x)

<u><em>Explanation:</em></u>
<u>1- For m(x):</u>
m(x) is a fraction. This means that the <u>denominator cannot be zero</u>, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the <u>domain of m(x) can be any real number except 1</u>

<u>2- For n(x):</u>
The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the <u>domain of n(x) is all real numbers</u>

<u>3- For (m*n)(x):</u>
(m*n)(x) = m(x) * n(x) = </span>\frac{x-5}{x-1} *(x-3) =  \frac{(x-5)(x-3)}{(x-1)}
<span>
We can note that the product is also a fraction. This means that the <u>denominator cannot be zero</u>.
The denominator here will be zero at x = 1.
This means that the <u>domain of (m*n)(x) is all real numbers except 1</u>.
<u>This is the same as the domain of m(x)</u>

Hope this helps :)</span>
8 0
4 years ago
Please help me‼️‼️‼️‼️‼️‼️‼️‼️‼️
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Step-by-step explanation:

1 m = 3.280839895... ft

therefore,

1 m² = 10.76391042... ft²

35 m² = 35 × 10.76391042... ft² =

= 376.7368646... ft²

the area of the circle is

pi×r²

r = 50/2 = 25 ft

so, the area of the red circle is

pi×25² = pi×625 = 1,963.495408... ft²

we need to paint it twice, so the area to be painted is twice the area of the circle

2×pi×625 = 3,926.990817... ft²

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3,926.990817... / 376.7368646... = 10.42369671... cans

we need to round this up to full cans.

so, we need 11 cans of red paint to give that red pad 2 coats of paint.

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