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Lapatulllka [165]
3 years ago
8

Suppose M is the midpoint of line FG.

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
A)\\|FM|=5y+13;\ |MG|=5-3y\\\\|FG|=|FM|+|MG|\\\\|FG|=(5y+13)+(5-3y)=2y+18\\\\B)\\|FM|=8a+1;\ |FG|=42\\\\|FG|=2|FM|\\\\2(8a+1)=42\\16a+2=42\ \ \ \ \ |subtract\ 2\  from\ both\ sides\\16=40\ \ \ \ \ |divide\ both\ sides\ by\ 16\\a=\frac{40}{16}\\a=\frac{5}{2}\\a=2.5

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A flag pole is 12 ft high in the air. The Distance from the top of the pole to a point on the ground where Janae is standing is
Tema [17]

Janae is standing at a distance of 9 feet from the bottom of pole

<em><u>Solution:</u></em>

The flag pole, and the point where Janae is standing and the ground forms a right angled triangle

The figure is attached below

ABC is a right angled triangle

AB is the height of pole

AB = 12 feet

C is the point where Janae is standing

AC is the distance from the top of the pole to a point on the ground where Janae is standing

AC = 15 feet

BC is the distance between bottom of pole and the point on the ground where Janae is standing

We have to find BC

We can use pythagoras theorem for right angled triangle

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition for right angled angle triangle ABC,

AC^2 = AB^2+BC^2

Substituting the values we get,

15^2=12^2+BC^2\\\\225 = 144 + BC^2\\\\BC^2 = 225-144\\\\BC^2=81\\\\\text{Taking square root on both sides }\\\\BC = 9

Thus she is standing at a distance of 9 feet from the bottom of pole

8 0
3 years ago
There are 480 sophomores and 520 juniors in a high school. Find the ratio of juniors to sophomores
kow [346]

Answer:

13:12, 13 to 12, or 13/12

Step-by-step explanation:

520:480

Divide both numbers by GCF (40)

13:12

4 0
3 years ago
A=1/2h(b+b)
charle [14.2K]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE help! Quickly please. I'll give as many points as I can!
nignag [31]

Answer:

x=55

a=11.47

Step-by-step explanation:

To find x we add all the angles in the triangle.  The three angles in a triangle add to 180 degrees

35+x+90 = 180

Combine like terms

125+x=180

Subtract 125 from each side

125-125+x=180-125

x= 55

To find a

sin 35 = opposite side/ hypotenuse

sin 35 =a/20

Multiply each side by 20

20sin35 =a

11.47152873 =a

6 0
3 years ago
Solve for x:-ax+3b&gt;5
Salsk061 [2.6K]
Our current equation is:
-ax + 3b > 5

Our objective is to solve for x, so let's first get -ax by itself.
Subtract 3b from both sides.

-ax > -3b + 5
Now, we have -a multiplying x, so we need to perform the opposite order of operations (like previously shown with 3b).
Divide both sides by -a.
Remember to flip the inequality when multiplying or dividing by a negative.

x <_ (-3b + 5)/-a is your final answer.

I hope this helps!
7 0
3 years ago
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