All categories

3 years ago

Triangle WXY has the interior and exterior angles shown below.

Mathematics

2 answers:

shepuryov [24]3 years ago

8 0

Answer:

The correct option is last one 77 degrees.

Therefore the measure angle W is 77 degrees.

Step-by-step explanation:

Given:

Exterior angle = 122°

∠W = (2x-13)°

∠Y= x°

To Find:

∠W = (2x-13)° = ?

Solution:

Exterior Angle Property:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Angle W and Angle Y are the interior angles of Exterior angle 122°.

∴ $Exterior\ angle=m\angle W+m\angle Y$

Substituting the values we get

$122=2x-13+x\\3x=135\\\\x=\dfrac{135}{3}=45\\\\x=45$

Now Substitute 'x' in angle W we get

$m\angle W=2\times 45 -13=77\°$

Therefore the measure angle W is 77 degrees.

Ann [662]3 years ago

5 0

Answer:

Step-by-step explanation:

thanks and five stars if correct

You might be interested in

2.) Two students are working on a simplification problem. Their work is shown below. Is either of

kvasek [131]

Answer:

Both Jeff and Lori are wrong.

Step-by-step explanation:

$3 - \frac{(4 \times 3)^{2} }{2} + (1 \times 6)$

$3 - \frac{12^{2}}{2} + 6$

$3 - \frac{144}{2} + 6$

$3 - 72 + 6$

$- 72 + 9$

$- 63$

-63 is the final answer

8 0

3 years ago

A seamstress is paid $9.55 for every pair of pants made. how many pants would have to be made to receive $525.00 a week?

Svetlanka [38]

Let the number of pants have to be made be x.

So,

9.55 * x = 525.00

x = $\frac{525}{9.55}$ ≈ 54.97

Thus, the number of pants have to be made are 54.

8 0

3 years ago

Match the mathematical expression with its translation

egoroff_w [7]

Answer:

$\begin{array}{cc}\text{Mathematical expression}&\text{Translation}\\ \\xy&\text{The product of two numbers}\\ \\\dfrac{x}{y}&x\text{ divided by }y\\ \\x-y&x\text{ minus }y\\ \\x+y&\text{the sum of }x\text{ and }y\\ \\y-x&x\text{ subtracted from }y\\ \\y:x&y\text{ divided by } x\\ \\x+y=6&\text{the sum of two numbers is 6}\\ \\xy=6&\text{the product of two numbers is 6}\\ \\6x=y&\text{6 times a number equals }y\\ \\y=x-6&\text{6 less than a number is }y\end{array}$

Step-by-step explanation:

6 0

3 years ago

What are the coordinates of X?

Darina [25.2K]

Answer:

Step-by-step explanation:

x is at (0, 4)

4 0

2 years ago

3y - 5z = -23

leonid [27]

Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.

8 0

3 years ago