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garri49 [273]
3 years ago
9

Find the value of x.a. 23°b. 124° c. 33°d. 45°​

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
6 0

Answer:

x=33.

Step-by-step explanation:

The sume of angles in triangle is 180, so it must be

23+124+x=180

x=180-147

x=33

zavuch27 [327]3 years ago
4 0

Answer:

The answer to your question is x = 33°

Step-by-step explanation:

Data

Angle 1 = 23°

Angle 2 = 124°

Angle 3 = x°

To solve this problem, just remember that the sum of the internal angles in a triangle equals 180°

Then,

          Angle 1 + Angle 2 + Angle 3 = 180°

                   23° + 124° + x° = 180°

Solve for x

                   x° = 180° - 23° - 124°

                  x° = 33°

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A guy wire makes a 65° angle with the ground. walking out 37 feet further from the tower, the angle of elevation to the top of t
kicyunya [14]

Let's call the height of the tower h and the distance from the 65 degree angle to the base of the tower d.

We get two equations:

\tan 65^\circ = \dfrac h d

\tan 39^\circ = \dfrac{h}{d+37}

h = d \tan 65^\circ = (d+37) \tan 39^\circ

d(\tan 65 - \tan 39) = 37 \tan 39

d = \dfrac{37 \tan 39}{\tan 65 - \tan 39}

h = d \tan 65 = \dfrac{37 \tan 39 \tan 65}{\tan 65 - \tan 39}

h \approx 48.1 \textrm{ feet}

Answer: 48

3 0
4 years ago
Can you pls help me with this?☺️<br>thank you ☺️<br>​
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12. MORT

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4 0
3 years ago
Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollar
lesantik [10]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
Factor the gcf -5k^2+20k-30
Degger [83]
Everything is divisible by five, so pull out five

5(-k^2+4k-6)
8 0
4 years ago
Two debt payments of $2000 each are due now and nine months from now. If money is worth 8%, what single payment six months from
IrinaVladis [17]

The single payment six months from now is required to settle the debt will be $4042.

<h3>How to calculate the amount?</h3>

The interest rate monthly will be 8/1200.

The number of time period given is 6 months.

Therefore, the future value will be:

= 2000(1 - 8/1200)^6

= 2081.35

The present value will be:

= 2000(1 - 8/1200)^3

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Therefore, the single payment will be:

= 2081.35 + 1960.53

= 4042

In conclusion, the correct amount is $4042.

Learn more about debt on:

brainly.com/question/1957305

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