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Svetlanka [38]
3 years ago
12

What angle corresponds to angle AFG?

Mathematics
2 answers:
viva [34]3 years ago
7 0

Look at the image below :)

In case you didn't know, corresponding angles are equal to each other and are on the same side of the traversal

Therefore the answer is angle CGH

Hope this helped!  

Wewaii [24]3 years ago
6 0

Answer:

<h2>∠CGH</h2>

Step-by-step explanation:

When two lines are crossed by another line, the angles in matching corners are called corresponding angles.

When the two lines are parallel Corresponding Angles are equal.

∠AFG and ∠CGH are corresponding angles.

The lines AB and CD are parallel, therefore m∠AFG = m∠CGH.

∠CGH and ∠DGH are supplementary angles.

Therefore m∠CGH + m∠DGH = 180°

Substitute m∠DGH = 54°:

m∠CGH + 54° = 180°          <em>subtract 54° from both sides</em>

m∠CGH = 126°

Therefore m∠AFG = 126°.

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Can some show the steps and the answer please I really need help tell me how you get it and the answer
Lana71 [14]

Answer:

Step-by-step explanation:

so this is about triangles..  sooo the following is a bit of helpful reminders that I keep on my computer to help me remember how to fit the trig functions to triangles..  I strongly suggest you copy it and keep it where you can look at it often.

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

I use this anytime I run into triangles or need some help with sin or cos

now the problem , 3 ladder  10, 12, & 15 feet.   Alex wants to get to 8 feet.

the problems is also telling you that   you can use   t.....   and then , the words are cut off.. but I know they were going to say   Tan ... next.. :P

b/c Tan is how you figure out problems with the adjacent side and the opposite side.  like this problem.    Look at  TOA  above.  use that to recall how the parts fit in the formula

Tan(∅) = Opp / Adj

they give us the Opp side of 8 feet in the problem

then they also tell us the Hyp of the triangle which is each of the ladders length.  Then they ask us what is the Adj sides length?

So we also need to solve the triangle with the know hyp  (ladder length).. uggg, this problem is long. Then we can solve the dist. from the wall or Adj side length.

it's two steps, if you want to think of it that way.   You're supposed to be pretty confident with trig functions.   I'm guessing this is a trig class.. right?

let's solve for the 3 different angles that the ladders make , each going to 8 feel.  Obviously, nobody would really do this with a ladder they would just lean it against the wall . and if it's taller than where they want to climb, they would just go up part way.   so anyway,     find the 3 different angles.  

look above to see which formula to use.

I like SOH b/c it seems to have all the pieces of the triangle we want to work with.

ladder 1  ( 10')

Sin(∅) = Opp / Hyp

Sin(∅) = 8 / 10

∅ = arcSin (4/5)

[ first, yes, I just reduced the fraction, then I did the arcSin on both sides, I think you might know how to do that already ? ]

∅ = 53.13010 °

( yes, I used my calculator to find that,  calculators are okay to use when figuring out non standard angles )

ladder 2 (12')

Sin(∅) = 8/12

∅ = arcSin (2/3)

∅ = 41.81031°

ladder 3 (15')

Sin(∅) = 8/15

∅ = arcSin (8/15)

∅ = 32.230952°

now use our Tan function to find the Adjacent side which is the distance from the wall

Tan(∅)= Opp / Adj

Adj = Opp / Tan(∅)

( I did some quick algebra to move the side we want to solve for, now plug and chug all 3 angles  )

ladder 1

Adj = 8 / Tan(53.13010)

Adj = 6.0000005    

ladder 2

Adj = 8 / Tan(41.81031)

Adj = 8.94427

ladder 3

Adj = 8 / Tan(32.230952)

Adj = 12.688577

so the 10' ladder is 6 feet from the wall

the 12' ladder is 8.9 feet from the wall

the 15 foot ladder is 12.7 feet from the wall.

I really don't think that 15' ladder is going to stay on the wall.. if Alex climbs it... it's way way too far out... it will just fall straight down the wall  :/   Maybe another math problem for the forces involved  :P

5 0
2 years ago
Solve the system of inequalities:
Flura [38]

Answer: (here is a link to the same problem.) LINK >>>. graph system of inequality and solve for system

brainly.com/question/11934937?utm_source=android&utm_medium=share&utm_campaign=question

Step-by-step explanation: Solve the system of inequalities:

5 0
2 years ago
X/7 &gt; -2. Solve and graph. Help.
ikadub [295]
This is the answer hope i helped

8 0
2 years ago
John and Gary share a workload. At a certain point, John worked 2 more hours than Gary. The next day, John has worked 4 of Gary’
il63 [147K]
If these both men were working at normal hours, and then, (John) worked "2 more hours" than Gary has, this would just mean that he has worked more.

x+2= x+2.

Now if John has worked the double amount, 4 more times than Gary's usual hours, this would mean something quite different.

Then the expression would look like, (x+2×4x)

We don't know how many hours are the "usual hours", this is what "x" would then represent.

John has then worked (4×2+x) more hours than Gary.

Your answer: (4×2+x)
4 0
3 years ago
Below, the two-way table is given for a class
Nataliya [291]

Answer:

2/7 = 29% (nearest percent)

Step-by-step explanation:

Calculate the totals and add them to the table:

\begin{array}{| c | c | c | c | c | c |}\cline{1-6} & \sf Freshman & \sf Sophmore & \sf Juniors & \sf Seniors & \sf Total \\\cline{1-6} \sf Male & 4 & 6 & 2 & 2 & 14\\\cline{1-6} \sf Female & 3 & 4 & 6 & 3 & 16\\\cline{1-6} \sf Total & 7 & 10 & 8 & 5 & 30\\\cline{1-6}\end{array}

<u>Probability Formula</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Let P(A) = probability that the student is a freshman

Let P(B) = probability that the student is male

Use the given table to calculate the probability that the <u>student is male</u>:

\sf \implies P(B)=\dfrac{14}{30}

And the probability that the <u>student is a freshman </u><u>and </u><u>male:</u>

\implies \sf P(A \cap B)=\dfrac{4}{30}

To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:

<u>Conditional Probability Formula</u>

The probability of A given B is:

\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}

Substitute the found values into the formula:

\implies \sf P(Freshman|Male)=\dfrac{\dfrac{4}{30}}{\dfrac{14}{30}}=\dfrac{4}{14}=\dfrac{2}{7}=0.28571...=29\%

Therefore, the probability that the student is a freshman given they are male is 29% (nearest percent).

Learn more about conditional probability here:

brainly.com/question/28028208

brainly.com/question/23957743

8 0
1 year ago
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