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3 years ago

2. What is the value of x in this diagram?

Mathematics

1 answer:

padilas [110]3 years ago

3 0

The answer is: [B]: " 15 " .
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Explanation:
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"112" and "(7x + 7)" are the measurements of 2 (TWO) vertical angles;

and all vertical angles are equal; so, to solve for "x" ;

7x + 7 = 112 ;

Subtract "7" from EACH SIDE of the equation:

7x + 7 - 7 = 112 - 7 ;

to get:

7x = 105 ;

Now, divide EACH SIDE of the equation by "7" ; to isolate "x" on one side of the equation; and to solve for "x" ;

7x / 7 = 105 / 7 ;

to get: x = 15 ; which is:
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Answer choice: [B]: " 15 " .
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Needd helpp pleasee!!!!!

Morgarella [4.7K]

Number of game tokens is the label on x-axis.

Step-by-step explanation:

The equation is y = 0.5x + 3

Given,

Admission charge = $3
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3 years ago

Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f

guapka [62]

Answer:

Fred C. 16.30 ft

Gary B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always draw a diagram first (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to find "x", which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

Use the trig. ratio sine because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x Isolate "x". Rearrange the equation.

xsin67° = (15ft) Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft Exact answer in decimals

x ≈ 16.30 ft Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to find "x", which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. The trig. ratio that has adjacent and opposite is tangent.

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x Rearrange the formula to isolate "x"

xtan69° = 442m Divide both sides by tan69°

x = 442m / tan69° Solve by dividing

x = 169.6679.... m Exact decimal answer

x ≈ 169.67m Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

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4 0

3 years ago

7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4

DerKrebs [107]

9514 1404 393

Answer:

(x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

7a +4b = 5/4

8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

8b = 8/4

b = 1/4

Substituting into the first equation gives ...

7a +4/4 = 5/4

a = 1/28

Now, we can get back to solving for x and y.

4x +3y = 1/a = 28

4x -3y = 1/b = 4

8x = 32 . . . . . . . . . add the two equations

x = 4

3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

Additional comment

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

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3 years ago

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Answer:

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Step-by-step explanation:

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Subtract 7 from each side

-3( 2+4p) + 7 -7= 49-7

-3( 2+4p) = 42

Divide by -3

-3( 2+4p) /-3 = 42/-3

( 2+4p) = -14

Subtract 2 from each side

2+4p-2 = -14-2

4p = -16

Divide by 4

4p/4 = -16/4

p = -4

3 0

3 years ago

In 3 years, a gyms membership went up from 6,400 to 8,400. Which expression shows how to find the percent of increase (A) 2,000/

deff fn [24]

Answer:

B. 2000/6400

Step-by-step explanation:

Percent increase is told by the attached formula.

Plugging it in, you get 2000/6400.

6 0

3 years ago