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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

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Find the length of side AB Give answer to 3 significant figures

Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a right angle $\triangle ABC$ in which we have the following things:

$\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm$

Side BC is the hypotenuse here.

We have to find the side AB.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating $\angle B$ :

Sum of all the angles in $\triangle ABC$ is $180^\circ$ .

$\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ$

We know that cosine of an angle is:

$cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm$

So, side AB = 8.857 cm .

6 0

2 years ago

Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullsey

EastWind [94]

Answer:

$P(Mary) = (1 - p) * r$

Step-by-step explanation:

Given

$p \to$ Peter hits

$r \to$ Mary hits

Required

The probability that Mary wins

From the question, we understand that Peter throws the first.

If Mary is to win, then Peter has to lose his throw

Using the complement rule, the probability that Peter misses is:

$p' = 1 - p$

So, the probability that Mary wins is:

$P(Mary) = p' * r$

This gives:

$P(Mary) = (1 - p) * r$

6 0

2 years ago

The graph models the daily high temperature, H(t), in Santiago, Chile, t days after the hottest day of the year. What does the p

alekssr [168]

For this case we have a function of the form:
H (t)
Where,
t: number of days
H: the daily high temperature
We have the point (0.29).
It means that the hottest day of the year had a temperature of 29 degrees.
Answer:
the hottest day of the year had a temperature of 29 degrees.

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3 years ago

7 increased by 5 times a number ?

RideAnS [48]

Answer:

i wouldsay b

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

There were 27,000 people at a ball game in Los Angeles. The day's receipts were $204,000. How many people paid $13 for reserved

Studentka2010 [4]

21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
7y = 42000
y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000

5 0

3 years ago