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3 years ago

Find the x of a triangle.

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

Answer:

x = 17

Step-by-step explanation:

29 + 29 + 11x - 65 = 180
58 + 11x - 65 = 180
58 + 11x + 65 = 245
58 + 11x = 245
-58 + 11x = -58
11x = 187
x = 17

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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle

dem82 [27]

Answer:

229.23 feet.

Step-by-step explanation:

The pictorial representation of the problem is attached herewith.

Our goal is to determine the height, h of the tree in the right triangle given.

In Triangle BOH

$Tan 60^0=\dfrac{h}{x}\\h=xTan 60^0$

Similarly, In Triangle BOL

$Tan 50^0=\dfrac{h}{x+60}\\h=(x+60)Tan 50^0$

Equating the Value of h

$xTan 60^0=(x+60)Tan 50^0\\xTan 60^0=xTan 50^0+60Tan 50^0\\xTan 60^0-xTan 50^0=60Tan 50^0\\x(Tan 60^0-Tan 50^0)=60Tan 50^0\\x=\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0} ft$

Since we have found the value of x, we can now determine the height, h of the tree.

$h=\left(\dfrac{60Tan 50^0}{Tan 60^0-Tan 50^0}\right)\cdotTan 60^0\\h=229.23 feet$

The height of the tree is 229.23 feet.

5 0

3 years ago

BEST GETS BRAINLIEST

il63 [147K]

Answer:

2.5

Step-by-step explanation

1/4 x 10= 2.5

4 0

3 years ago

Houston, Texas get an annual rainfall of 5.2 times more than El Paso, Texas. Houston has an average rainfall of 46 inches, about

Nitella [24]

Answer:

8.85 inches

Step-by-step explanation:

Divide Houston's average by 5.2 to find El Paso's:

46/5.2

= 8.85 inches

So, El Paso gets about 8.85 inches of rain

6 0

3 years ago

Read 2 more answers

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).

Roman55 [17]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

If lines are parallel then they have the same slope (m)

This means that the slope of the line will be 3

y = 3x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(5, 2)

2 = 3(5) + b

2 = 15 + b

-13 = b

y = 3x - 13

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0

3 years ago

Solve for equation4y+4=3x

Basile [38]

Answer:

Step-by-step explanation:

Switch sides:

3x = 4y+4

Divide both sides by 3:

$\frac{3x}{3}=\frac{4y}{3}+\frac{4}{3}$

Simplify to give:

$x=\frac{4y+4}{3}$

5 0

2 years ago