All categories

1 year ago

What is the value of y?

Mathematics

2 answers:

kondaur [170]1 year ago

5 0

Answer:

Step-by-step explanation:

1: y+10°+2y+50°=180°

2:3y+60°=180°

3:3y=120°

4:y=40°

pantera1 [17]1 year ago

3 0

<h3>Answer:</h3>

40°

<h2>Step–by–step explanation:</h2>

Sum of interior angles in a triangle = 180

:. 2y + y + 10 + 50 = 180

→ 3y + 60 = 180

+60 crosses over, and we have:

3y = 180 — 60 → 3y = 120

At this juncture, we divide by the coefficient of y, as shown below↓

$\frac{3y}{3} = \frac{120}{3}$

Then, we have:

$\frac{120}{3} = 40$

:. 40° is our final answer.

<h3>I hope this helps</h3>

You might be interested in

In math class, James, Hadley, and Gwen were challenged to go stand on the field in a random location and find the distance betwe

o-na [289]

The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;

Gwen to Hadley ≈ 18.24 meters

Gwen to James ≈ 19.94 meters

<h3>How can the distances between the students be found?</h3>

The given angles are;

At James's location; 61°

At Hadley's location; 73°

At Gwen's location; 46°

The distance between James and Hadley = 15 meters

The angle facing the distance between James and Hadley is the angle at Gwen, 46°

The angle facing the distance between Gwen and James is the angle at Hadley, 73°

The angle facing the distance between Gwen and Hadley is the angle at James, 61°

The angle that faces the 15 meter length is the angle at Gwen, which is 46°

By the rule of sines, the distance from Gwen to Hadley is therefore;

$\frac{15}{sin( 46 ^ \circ)} = \frac{Gwen \: to \: Hadley}{sin( 61 ^ \circ)}$

Which gives;

$Gwen \: to \: Hadley= \frac{15 \times sin( 61 ^ \circ) }{sin( 46 ^ \circ)} \approx 18.24$

Gwen to Hadley ≈ 18.24 meters

Similarly, we have;

$\frac{15}{sin( 46 ^ \circ} = \frac{Gwen \: to \: James}{sin( 73 ^ \circ)}$

Therefore;

$Gwen \: to \: James = \frac{15 \times sin( 73 ^ \circ) }{sin(46 ^ \circ)} \approx 19.94$

Gwen to James ≈ 19.94 meters

Learn more about the rule of sines here:

brainly.com/question/4372174

#SPJ1

4 0

1 year ago

pressed against the side of a building the ladder is 13 ft long and forms an angle of 70.5 degrees with the ground. how far is t

jeyben [28]

Answer:

35°, how far above the ground is: the kite? 4 q. 0tt. "S. 'K,' ... 13. A ladder 14 feet long rests against the side ofa building. Thebase of the ladder rests on level ground ... A 24-foot ladder leaning against a building forms an 18° angle with the side of the building.

8 0

3 years ago

Somebody please help me with this!

andreyandreev [35.5K]

8/x + 2 is equal to 8/4 + 2.

8/4 = 2

2 + 2 = 4

ANSWER: 4

5 0

3 years ago

Read 2 more answers

what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?

marshall27 [118]

Solve:

"twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4

x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.

8 0

3 years ago

Please help I don’t understand

aksik [14]

Is this a multiple choice question? If so what are the options?
My guess is 21

7 0

2 years ago