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3 years ago

10

Sqrt x-3+5=x ?? Help

1 answer:

kolezko [41]3 years ago

6 0

7 is a solution
4 is extraneous
The work is attached below

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

harina [27]

Answer:

$Perimeter = 38.6$

Step-by-step explanation:

Given

$A\ B = 13$

$B\ F = 9$

$F\ C = 5.6$

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

$Perimeter = A B + B\ C + A\ C$

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

$B\ C^2 = B\ F^2 + F\ C^2$

Substitute values for BF and FC;

$B\ C^2 = 9^2 + 5.6^2$

$B\ C^2 = 81 + 31.36$

$B\ C^2 = 112.36$

$B\ C^2= \sqrt{112.36$

$B\ C = 10.6$

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

$A\ B^2 = B\ F^2 + A\ F^2$

Substitute values for B F and A B;

$13^2 = 9^2 + A\ F^2$

$169= 81 + A\ F^2$

$A\ F^2 = 169 - 81$

$A\ F^2 = 88$

$A\ F = \sqrt{88$

$A\ F = 9.4$

Since F lies on line A C:

$A\ C = A\ F + F\ C$

$A\ C = 9.4 + 5.6$

$A\ C = 15.0$

Recall that:

$Perimeter = A\ B + B\ C + A\ C$

$Perimeter = 13 + 10.6 + 15.0$

$Perimeter = 38.6$

<em>Hence, the perimeter is 38.6</em>

3 0

2 years ago

What is the measure of <7?

mash [69]

Answer:

120

Step-by-step explanation:

<2 = 120 degrees

<3 = <2 vertical angles

Assuming b is parallel to c

<3 = <6 alternate interior angles

<6 = <7 vertical angles

<2 = <7 =120

5 0

3 years ago

the second longest bridge in the world, the tianjin grand bridge, is 373,000 feet long. Its length is 167,700 feet less than the

Mademuasel [1]

If something is 167,700 feet less than something then the value of the longer object would be the that much more than the length of that shorter object. In this case it would be 373,000 + 167,700 = 540,700 ft.

1 1 <------- Carried Values
37300
167700
+
_______
540700

4 0

2 years ago

What do e and f equal?

Aleks04 [339]

They both equal 78 degrees because they are the same angle which means that they have the same degrees for f and e.

6 0

3 years ago

The Smiths own a home whose market value is $105,000. Their municipality taxes at 85% and the rate is 70 mills or $70 per thousa

barxatty [35]

Answer: 6247.5

Step-by-step explanation:

85% x 105000 = 89250

70 x 89.25 = 6247.5

7 0

3 years ago

Read 2 more answers