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Alla [95]
3 years ago
14

Solve for X ...........

Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

x = 46

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2(2 + x) = 6(6 + 10)

2(2 + x) = 6 × 16 = 96 ( divide both sides by 2 )

2 + x = 48 ( subtract 2 from both sides )

x = 46

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One angle of a triangle has a measure of 3 times as large as the smallest. The measurement of the 3rd angle is 40 degrees more t
MrMuchimi

The largest of the three angles is 84°.

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3 0
3 years ago
To measure the height of a tree, a surveyor walked a short distance from the tree and found the angle of elevation was 43.9°, th
padilas [110]

Answer:

The height of the tree is H = 77.06 m

Step-by-step explanation:

From Δ ABC

AB = height of the tree

\tan 43.9 = \frac{AB}{BC}

\tan 43.9 = \frac{h}{x}

h = 0.9623 x ------- (1)

From Δ ABD

\tan 37.6 = \frac{h}{20+ x}

h = 0.77 (x + 20) ----- (2)

Equating Equation  1 & 2 we get

0.9623 x =  0.77 (x + 20)

0.9623 x = 0.77 x + 15.4

x (0.1923) = 15.4

x = 80.08 m

Thus the height of the tree is given by

H = 0.9623 x

H = 0.9623 × 80.08

H = 77.06 m

Therefore the height of the tree is H = 77.06 m

4 0
3 years ago
Triangle UVW is formed by the three squares G, H, and I:
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Answer:

The correct answer would be C- (UV)2 + (VW)2 = (UW)2, because 81 + 144 = 225

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3 0
3 years ago
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If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk co
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2 years ago
Sally bought the pizza shown above for lunch, which was cut into 10 equal slices.What percentage of the pizza did sally eat if s
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Answer:

DM

Step-by-step explanation:

We can represent the pizza as 1. And every time we take a slice, we take percentage away. This pizza is cut up equally into 10 slices. So, if we take away a slice, we take away 1/10 of the pizza. What if Sally ate 6 slices? Same difference. She took away 6/10 of the pizza.

And to answer the question, "What percentage of the pizza did Sally eat if she had six slices?"

We will convert the 6/10 into a percentage. First convert the fraction into a decimal then into a percent.

To convert a fraction into a decimal, simply divide it's numerator by it's denominator.

6/10 = 0.60

And to convert a decimal into a percentage, move the decimal point two places to the right and change it into a % sign.

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So, the answer to this question C) 60%

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7 0
3 years ago
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