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Nikitich [7]
2 years ago
14

Please help me! Look at this diagram.

Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0

Answer:

if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree

Step-by-step explanation:

for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree

Gnom [1K]2 years ago
5 0

Answer:

x=13\text{ and } y=5

Step-by-step explanation:

First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:

m\angle BCD + m\angle DCE = 180

And since we know that ∠BCD measures 130°:

m\angle DCE  = 180-130=50^\circ

And since ∠DCE and ∠BCA are vertical angles:

\displaystyle \angle DCE \cong  \angle BCA

Therefore, by definition:

m\angle DCE = m\angle BCA = 50^\circ

Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:

m\angle A = m\angle B

The interior angles of a triangle must total 180°. So:

m\angle A + m\angle B +m\angle BCA = 180

Substitute in known values:

m\angle A + m\angle A+ (50)=180

Simplify:

2m\angle A=130

Divide both sides by two:

m\angle A = 65

Substitute:

(5x)=65

Therefore:

x=13

Similarly, for the triangle on the right, we can write that:

m\angle D + m\angle E + m\angle DCE = 180

Substitute:

(10y+5)+(6x-3)+(50)=180

Combine like terms:

10y+6x+52=180

Since we determined that <em>x</em> = 13:

10y+6(13)+52=180

Simplify:

10y+130=180

Therefore:

10y=50

And by dividing both sides by 10:

y=5

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oee [108]

Answer:

19 bars =<u> 76 more ores.</u>  22 bars = <u>88 total ores.</u>

Step-by-step explanation:

y = 4x

(4 times a number. Ex: x could be 98740757 or 2, it doesn't matter.)

1 b = 4 o

3 b = 12 o

22 - 3 = 19 b

19 b = 76 o (more)

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3 years ago
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Dvinal [7]

Answer:

B

using SOHCAHTOA

COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3

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3 years ago
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A loan of $8,000 is paid back in two years in monthly payments of $400. The percentage interest on the loan was
Serhud [2]

Answer:

D

Step-by-step explanation:

The number of months in two years is 24 months.

Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600

Now, $8,000 was borrowed but $9,600 was returned

The amount of interest is 9600-8000 = 1600

So what percentage of 8,000 is 1600?

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8 0
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statuscvo [17]
The answer to 14 is 13 as in the number not the question
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If the distance from the boat to the lighthouse is 120 meters and the angle of elevation is 40°, which of the following equation
Sidana [21]

You can use the fact that lighthouses are usually standing perpendicular to the ground that smaller distance on earth surface(planes or water bodies like sea or ocean or calm river) acts as if they a straight plane.

The length (y) of the lighthouse is given by:

Option D:  tan 40° = y over 120.

<h3>What is angle of elevation?</h3>

What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

<h3>How to calculate the height of the considered lighthouse?</h3>

See the figure attached below to understand the symbols used in calculations.

Let the boat is on point C, and let the light house be AB.

Then we have:

Length of CA = 120 meters

∠ ACB = 40°

To find: length of AB

By using the trigonometric ratio tangent, we get:

tan(\angle ACB) = \dfrac{AB}{AC}\\\\tan(40^\circ) = \dfrac{h}{120}

Since here h is denoted by y, we have h = y, or

The equation to find the height of the lighthouse is

tan(40^\circ) = \dfrac{y}{120}

Thus,

The length (y) of the lighthouse is given by:

Option D:  tan 40° = y over 120.

Learn more about angle of elevation here:

brainly.com/question/12483071

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