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mr Goodwill [35]
2 years ago
8

Find the tan of ∠T

Mathematics
1 answer:
Alecsey [184]2 years ago
5 0

Answer:

c

Step-by-step explanation:

Soh-cah-toa

Tangent = Opposite/Adjacent

(opposite side from the angle + adjacent from the angle)

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In triangle FGH, GJ is an angle bisector of ∠G and perpendicular to FH.
Citrus2011 [14]
The picture in the attached figure

we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.

Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH
This information means that angle GHJ = angle GFJ

We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
3x-8=16
3x=16+8
3x=24
x=8 units
Hence,
the length of FH = 2×8=16 units

the answer is
FH=16 units

4 0
3 years ago
70% of what number is 21 and how do you do it
tester [92]
The answer is 30 because you put 21/x= 70/100
you cross multiply 100 and 21 you get 2100 and you divide it by 70 you should get 30 cause you take out one 0 from both numbers and end up with 210 divided by 7 then you get 30

4 0
3 years ago
Read 2 more answers
Which expression is equivalent to 36/(4 + y)?
I am Lyosha [343]

Answer:

B) 36/(y+4)

Step-by-step explanation:

Use the process of elimination.

A cannot work because we are changing the operation. Instead of dividing thirty-six by the sum of four and a number, we are dividing thirty-six by four, then adding the unknown number. This is not the same as the original expression, so we know it is not this.

Next, check C. C doesn't seem right either. Remember that, unlike multiplication and addition, you cannot flip the order in which the operation is being done and still get the same answer. C says four plus a number divided by thirty-six, which is entirely different from our original expression. So the answer is not C.

And finally, check D. D doesn't work either. With D, we are dividing thirty-six by a number, then adding it to thirty-six divided by four. This is not the same as our original expression, so D isn't it.

That leaves us with B. Does it work? Yes, because changing the y and the four still will give the same thing. And yes, because 36 is being divided by the sum of that number and four. So it is our answer.

8 0
2 years ago
Eight is added to a number and the sum is doubled, the result is -11 less than the number. Find
inna [77]
If you don’t know what a number is, you should substitute it for x and make an equation with the information you have been given. This gives:

(x + 8) x 2 = x - 11

Then, solve:

2x + 16 = x - 11

2x = x -27

x = -27

This can then be checked by using the number in the original text.

-27 + 8 = -19

-19 x 2 = -38

-38 is 11 less than -27.

Hope this helps :)
3 0
3 years ago
To finance her community college​ education, Sarah takes out a loan for ​$3700. After a year Sarah decides to pay off the​ inter
iragen [17]
So, to solve this, we use this equation:
3700 + 0.05(3700)
But, if we want to make it shorter:
1.05(3700)
Now you just multiply(you may want to use a calculator)
1.05(3700) = 3885
She will pay $3885
8 0
3 years ago
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