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Juli2301 [7.4K]
3 years ago
15

Please help and include explanation !!

Mathematics
1 answer:
Sidana [21]3 years ago
6 0

The vertical angles are equal to each other, that is, one of the one-sided corners will be 116°.

The sum of the one-sided angles is 180°, which means: 4x+116 = 180°

4x = 180-116 => 4x = 64°

x = 64/4 = 16°.

The sum of two adjacent angles is 180°. which means, that: 2x-3y = 180-64 = 116°

2x-3y = 116°

-2x+3y = -116

-32+3y = -116

3y = -116-(-32)

3y = -84

y = -84/3 => y = -28.

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Select all the correct equations.
Naya [18.7K]

Answer:

You did not post the options, but i will try to answer this in a general way.

Because we have two solutions, i know that we are talking about quadratic equations, of the form of:

0 = a*x^2 + b*x + c.

There are two easy ways to see if the solutions of this equation are real or not.

1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).

2) look at the determinant.

The determinant of a quadratic equation is:

D = b^2 - 4*a*c.

if D > 0, we have two real solutions.

if D = 0, we have one real solution (or two real solutions that are equal)

if D < 0, we have two complex solutions.

3 0
3 years ago
The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Ni
Yanka [14]

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

<h3>How to interpret Cycle Graphs?</h3>

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

Read more about Cycle Graphs at; brainly.com/question/24461724

#SPJ1

4 0
2 years ago
Pleas help me ASAP thank you :)
RoseWind [281]

Answer:

11

Step-by-step explanation:

it says 11

8 0
2 years ago
Help me please giving brainiest
Setler79 [48]

Answer:

1) The most common place (mode) for people to jog is the path.

2) (The picture)

Step-by-step explanation:

1) The mode means what is most common, and since the path has 22 people, it is the most common place.

2) The data is distributed into 5 different columns based on how many people use the certain column. The second column is the mode and most common spot to jog.

4 0
2 years ago
Marie joined a book club. She had to pay a one time registration fee of 80.00 and then 3.00 per book.How much did it cost her to
Rasek [7]

Answer:

It cost her this much = 3×15 = 45

5 0
3 years ago
Read 2 more answers
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