Ask question

Ask question

All categories

3 years ago

14

I have no clue how to do this!!!

1 answer:

lara31 [8.8K]3 years ago

5 0

Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180 combine like terms on the left.
z + 137 = 180 subtract 137 from both sides
z = 180 - 137
z = 43 degrees.

Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35

sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32

Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.

You might be interested in

A rectangular based prism has a length of

bazaltina [42]

Answer:

924m^3 is the volume of the rectangular prism

7 0

3 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

<em></em>

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0

3 years ago

Stan evaluated a function with a value and got 3 as the result. He wrote the entire process as a sentence: The function , when e

grandymaker [24]

The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3

4 0

3 years ago

Company A charges a base rate of $5 per month, plus 4 cents per minute that you are on the phone. Company B charges a base rate

Afina-wow [57]

...........................

4 0

3 years ago

The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 6 millimeters. One of the base legths of the tr

Andrej [43]

-------------------------

3 0

3 years ago