What is an equivalent ratio to 7:5A 14:12B 21:10C 21:15PLZ help me

2 answers:

4 0

Look at all the options.

Let's look at the 5 in the ratio. A number of an answer choice has to be divisible by 5. We can already say A isn't the right answer, because we can't multiply 5 to 12.

All the 7 factors are equal to 21.

7*3= 21

So, shouldn't we multiply by 3 for the 5 as well?

3*5= 15

The correct answer is 21:15 or "C".

I hope this helps!

Paha777 [63]3 years ago

3 0

The correct answer is C, since 7:5*3 is 21:15.

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Simplify (sec θ – tan θ)2

rusak2 [61]

Answer:

2 sec (θ ) − 2 tan ( θ )

Step-by-step explanation:

4 0

2 years ago

Please help thank you and show all work.

Daniel [21]

Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

$51*tan(15)$
$\approx 14$

Now, subtract that from 207 to get the height of the smaller building.

$207-14=193$

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

$3x+1=2(x+8)$

Distributive property

$3x+1=2x+16$

Subtract both sides by 1 and 2x

$x=15$

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)