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2 years ago

Which statement about the value of x is true?

Mathematics

2 answers:

zloy xaker [14]2 years ago

8 0

Its the first one x is greater than 38 because by looking at the angle it looks bigger than 90 degrees so by that you cancel 39 and 77 and leaves you 38 or 103 103 could be an option but we don't know that for sure we know for sure it's more than 38 so the first choice is correct

And btw is it talking about the right side of the angle or left im confused like is the x the dot where n is if it is then the answer is 38

icang [17]2 years ago

3 0

Answer: x > 38

In this case, x is a exterior angle of the triangle. The exterior angle of a triangle is the sum of the nonadjacent interior angles of the triangle.

Therefore:
x = 38 + 39
x = 77

77 > 38
x > 38

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A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin

djyliett [7]

Answer:

A) (7.6, 8.8)

which are the coordinates of the treasure.

Missing Problem Statement:

Given Options:

A) (11.4, 14.2)

B) (7.6, 8.8)

C) (5.7, 7.5)

D) (10.2, 12.6)

I have added the picture showing the traced map onto a coordinate plane to find exact location of treasure.

The coordinates of Tree are (16,21)

Coordinates of rock are (3,2)

Step-by-step explanation:

Let,

Coordinates of treasure be (a,b)

$d_{1}$ = distance from tree to treasure

$d_{2}$ =distance from rock to treasure

$d_{1}=\sqrt{(16-x)^2 + (21-y)^2}$

$d_{2}=\sqrt{x\2 + (y-2)^2}$

Given ratio between rock and tree, $\frac{d_{2}}{ d_{1}}=\frac{5}{9}$ = 0.55_______(Equation.1)

which will be used to locate the treasure.

Now we just need to cross check by putting the coordinates given in the options one by one to find out value of $d_{1}$ , $d_{2}$ and checking if it satisfies the Equation 1.

Check (A) (11.4, 14.2)

$d_{2}$ = 14.8, $d_{1}$ = 8.2,

$\frac{d_{2}}{ d_{1}}$ = 1.8

Check (C) (5.7, 7.5)

$d_{2}$ = 6.13, $d_{1}$ = 16.98,

$\frac{d_{2}}{ d_{1}}$ = 0.36

Check (D) (10.2, 12.6)

$d_{2}$ = 12.8, $d_{1}$ = 10.2,

$\frac{d_{2}}{ d_{1}}$ = 1.25

Check (B) (7.6, 8.8)

$d_{2}$ = 8.2, $d_{1}$ = 14.8,

$\frac{d_{2}}{ d_{1}}$ = 0.55

Which satisfies Equation 1, such that ratio between rock and tree is 5:9 or $\frac{d_{2}}{ d_{1}}=\frac{5}{9}$ = 0.55

So, the coordinates of the treasure are (B) (7.6, 8.8)

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1 year ago

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Nana76 [90]

Answer:

The independent would be the 15 tickets and the dependent would be the t-shirt

Step-by-step explanation:

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onsider the graph of the line of best fit, y = 0.5x + 1, and the given data points. A graph shows the horizontal axis numbered n

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Answer:

I think its -1

Step-by-step explanation:

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bearhunter [10]

Answer:

The corresponding angles are:

∠ 1 and ∠ 5

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When two parallel lines are crossed by another line, the angles in matching corners are called corresponding angles and they are equal in measures

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- Look to the attached figure

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∴ ∠ 2 ≅ ∠ 6 ⇒ corresponding angles

∴ ∠ 3 ≅ ∠ 7 ⇒ corresponding angles

∴ ∠ 4 ≅ ∠ 8 ⇒ corresponding angles

The corresponding angles are:

∠ 1 and ∠ 5

∠ 2 and ∠ 6

∠ 3 and ∠ 7

∠ 4 and ∠ 8

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The ratio can be written in parts as shown below;
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