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sattari [20]
2 years ago
5

Solve for Xexplain the process for this problem​

Mathematics
1 answer:
aksik [14]2 years ago
5 0

Answer:

x = 40

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

126° is an exterior angle of the triangle, then

x + 2x + 6 = 126

3x + 6 = 126 ( subtract 6 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

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The size of a typical city park is about 5 acres, or 217,800 square feet. If a developer plans to
pshichka [43]

Using the percentage concept, it is found that 95.4% of the park will be used for other activities.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

In this problem, there will be two courts of 5,000 square feet each, totaling 10,000 square feet. The remainder 207,800 square feet will be used for other activities, hence the percentage is given by:

P = \frac{207,800}{217,800} \times 100\% = 95.4\%

95.4% of the park will be used for other activities.

More can be learned about the percentage concept at brainly.com/question/10491646

3 0
2 years ago
The captain of a ship at point A and sailing toward point B observes a lighthouse at L and finds angle LAC to be 36*30'. After s
wel

Answer:

The distance between B and lighthouse is 3.8688 km

Step-by-step explanation:

Given:

The angle made from ship to lighthouse is 36.5 degrees

and that of point B is 73 degrees.

To Find:

Distance  Between Point B and Lighthouse

Solution:

<em>Consider a triangle LAB(Refer the attachment )</em>

And Point C is on the line AB as A i.e. ship is sailing to B

So C is at 5 km from A.

Now In triangle LAC,

Using Trigonometry Functions as ,

tan(36.5)=LC/AC

LC=tan(36.5)*AC

=0.7399*5

=3.6998 km

Now In triangle LBC,

As,

Sin(73)=LC/LB

LB=LC/(Sin(73))

=3.6998/0.9563

=3.8688 km

LB=3.8688 km

6 0
3 years ago
ASAP
rewona [7]

Answer: 90 people

Step-by-step explanation:

3 ladles per person = 150 people x 3

= 450 ladles full

450 ladles full = 5 ladles per one person = 450/5 = 90 people

8 0
3 years ago
How many 1/2 cup servings are in 9 cups of cereal?
Arlecino [84]

Answer:

18

Step-by-step explanation:

9 divided by 1/2 is the same as 9 multiplied by 2, which equals 18

5 0
2 years ago
How can you solve a rational equation without graphing?
KiRa [710]

Answer:

To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:

x2 – 6x + 8 = (x – 4)(x – 2)

The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)

Step-by-step explanation:

4 0
3 years ago
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