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Evgesh-ka [11]
3 years ago
6

Due soon!! Find the measure of GE¯¯¯¯¯¯¯¯. A. 14 B. 20 C. 15 D. 16

Mathematics
2 answers:
Serhud [2]3 years ago
8 0

Answer:

D.16

Step-by-step explanation:

GE × GF = GH^2

9 × (9 + x - 2 ) = 12^2

63 + 9x = 144

9x = 81

x = 9

so, GE = 9 + x - 2

= 7 + 9

= 16

Nataly_w [17]3 years ago
4 0

Answer:

D. 16

Step-by-step explanation:

GH^2 = GF \times GE

12^2 = 9 \times (9+x - 2)

144= 9 \times (7+x)

\frac{144}{9}= (7+x)

16= 7+x

16-7=x

9=x

GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2

GE = 16

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The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin
Alex

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that x=rcos(\theta) and y=rsin(\theta) where \theta=angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi

Now we will calculate the height of the building using the y equation and so:

y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi

The building is 0.034921 miles or approximately 184.3774 feet tall.

4 0
2 years ago
Select all that apply. Which of the following are proportions? 25/10=5/2,3/4=8/10,2/8=3/12,3/4=15/20
8_murik_8 [283]

Answer:

\frac{25}{10} = \frac{5}{2} is in proportion.

\frac{3}{4} = \frac{8}{10} is not in proportion.

\frac{2}{8} = \frac{3}{12} is in proportion.

\frac{3}{4} = \frac{15}{20} is in proportion.

Step-by-step explanation:

The first example is \frac{25}{10} = \frac{5}{2} and it is in proportion.

This is because, you will get the same simplest fraction (\frac{5}{2}) from the fraction \frac{25}{10} by dividing its numerator and denominator by 5.

The second example is \frac{3}{4} = \frac{8}{10} and it is not in proportion.

This is because, you can not  get the simplest fraction (\frac{3}{4}) from the fraction \frac{8}{10} after simplification.

The third example is \frac{2}{8} = \frac{3}{12} and it is in proportion.

This is because, you will get the same simplest fraction (\frac{1}{4}) from the fraction \frac{2}{8} by dividing its numerator and denominator by 2 and from the fraction \frac{3}{12} by dividing its numerator and denominator by 3.

The fourth example is \frac{3}{4} = \frac{15}{20} and it is in proportion.

This is because, you will get the same simplest fraction (\frac{3}{4}) from the fraction \frac{15}{20} by dividing its numerator and denominator by 5. (Answer)

3 0
2 years ago
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Can the sides of a right triangle have sides the length of 48.5ft,30ft,32.5ft
myrzilka [38]

Answer:

No

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP!<br><br> Question is on photo! <br> Thank you!!
ipn [44]

We conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)

<h3>How to determine the domain and range of a relation and if a relation is a function</h3>

Herein we have a relation between two variables, x and y, relations involve two sets: an input set called domain and an output set called range. A relation is a function if and only if every element of the domain is related to only one element from the range.

Graphically speaking, the horizontal axis corresponds with the domain, whereas the vertical axis is for the set of the range. According to the previous concepts, we conclude that the relation presented in the picture is a function with domain: - 4 ≤ x < 1 and range: - 4 ≤ x ≤ 5. (Correct choices: B, C, H)

To learn more on functions: brainly.com/question/12431044

#SPJ1

7 0
1 year ago
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