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Eva8 [605]
3 years ago
11

In triangle FGH, the measure of angle F=42 and an exterior angle at vertex H has a measure of 104. what is the measure of angle

G
Mathematics
1 answer:
qaws [65]3 years ago
5 0

Answer:

Angle G = 62.

Step-by-step explanation:

The exterior angle at H is 104. Subtract 104 from 180 to get the interior angle H = 76.

Add interior angles F and H to get 118. Subtract:

180 total degrees in a triangle minus 118 for Angles F and H.

180 - 118 = 62

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Evaluate the six trigonometric functions of the angle 0
Alla [95]

# Sin θ = 9/15.

# Cos θ = 12/15.

# Cosec θ = 15/9.

# Sec θ = 5/4

Step-by-step explanation:

by \: using \: pythagorian \: triplets

{a}^{2}  +  {b}^{2}  =  {c}^{2}

{9}^{2}  +  {12}^{2}  =  {c}^{2}

81 + 144 =  {c}^{2}

225 =  {c}^{2}

c = 15.

\sin θ =  \frac{9}{15}

\cos θ =  \frac{12}{15}  =  \frac{4}{5}

\csc θ =  \frac{15}{9}

\secθ =  \frac{5}{4}

7 0
3 years ago
Community Gym charges a $50 membership fee and a $70 monthly fee. Workout Gym charges a $200
Reil [10]

Answer:

community gym

50+(70×12)

=$890

workout gym

200+(60×12)

=$920

8 0
3 years ago
What is the product of -1/2 x 1/8 in simplest form
hjlf

Answer: Edit: -0.0625

Step-by-step explanation:

3 0
3 years ago
How do you solve -2(x + 3y) = 18
sergiy2304 [10]

solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Step-by-step explanation:

We need to solve the equation: -2(x + 3y) = 18

Solving the equation:

-2(x + 3y) = 18\\-2x-6y=18

Simplifying and finding value of x:

-2x-6y=18\\-2x=18+6y\\-2x/-2=18/-2+6y/-2\\x=-9-3y

We can simplify and find value of y as well:

-2x-6y=18\\-6y=18+2x\\-6y/-6=18/-6+2x/-6\\y=-3-1/3x

So, solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

5 0
3 years ago
The Perimeter Of A Rectanglular Garden Is 84 Feet . The Length Of The Garden Is Twice The Width . What Is The Width Of The Garde
nalin [4]
\bf \stackrel{\textit{perimeter of a rectangle}}{P=2L+2W\implies 2(L+W)}~~
\begin{cases}
L=length\\
W=width\\
--------\\
P=84\\
L=\stackrel{\textit{twice the width}}{2W}
\end{cases}
\\\\\\
84=2(L+W)\implies \cfrac{84}{2}=L+W\implies 42=L+W
\\\\\\
42=(2W)+W\implies 42=3W\implies \cfrac{42}{3}=W\implies 14=W
5 0
3 years ago
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