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LenKa [72]
3 years ago
13

What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90

degrees.
Mathematics
1 answer:
mixas84 [53]3 years ago
7 0

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°

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choli [55]

Answer:

k = 9

Step-by-step explanation:

Given:

Consecutive Terms:  k-5, k+7, k+55

Required:

Determine the value of k

To do this, we make use of the concept of common ratio.

The common ratio (r) of a geometric sequence is:

r = \frac{T_{n}}{T_{n-1}}

In other words:

r = \frac{T_3}{T_2} = \frac{T_2}{T_1}

Where 1, 2 and 3 represents the terms of the progression/sequence

So:

r = \frac{T_3}{T_2} = \frac{T_2}{T_1} becomes

\frac{k+55}{k+7} = \frac{k+7}{k-5}

Cross Multiply:

(k+55)(k-5) = (k+7)(k+7)

Open Brackets

k^2 + 55k - 5k - 275 = k^2 + 7k + 7k + 49

k^2 + 50k- 275 = k^2 + 14k + 49

Collect Like Terms

k^2 - k^2 + 50k-14k  = 275 + 49

36k  = 324

Solve for k

k = 324/36

k = 9

5 0
3 years ago
Anyone knows how to do 4a)
Olin [163]

Sure.  Brainly just made me an Ace.

Let's plug in 1/x as the independent and xy as the dependent in point slope form:

xy = m (\frac 1 x) + b = \frac m x + b

We have two points (1/x,xy)=(-4,-2) and (1/x,xy)=(3,5)

That's a slope

m = \dfrac{5- -2}{3 - -4} = 1

So a y intercept

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That's easy to solve for y:

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When x=1 that's

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8 0
3 years ago
Read 2 more answers
~ HELP NEEDED!!!! 20 POINTS ~
sladkih [1.3K]

Answer:

Here is a proof

 

Angle DEF  =  angle ABC              

A transversal cutting two parallel lines makes alternate exterior angles equal

 

Sum of  measures of angles 1 and 2  = 50° + 48°  =  98°   = measure of angle DEF  =  measure of angle ABC

 

But since  s bisects   angle ABC, then angle 4  =  98 / 2   = 49°

 

But angles 3 and 4  are vertical angles....therefore.... measure of angle 3  =  49°

Step-by-step explanation:

6 0
3 years ago
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o-na [289]

Answer:

The temperature at midnight would be 12 degrees cause -7 +7+7+ 5=12 and the equation for that would be -7+7+7+5= x

Hope that helps!

4 0
3 years ago
Mr. Varello is paid semimontnly. His annual salary is $64,333. What is his semimonthly
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Answer: His semimonthly salary is $2,680.54.

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64,333/12 = 5,361.08

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8 0
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