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alexira [117]
3 years ago
14

Solve for x.

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

\huge \boxed{\mathfrak{Question} \downarrow}

  • Solve for x.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Okay, so from the given figure we can see that, < FAE & < FAB forms a linear pair. In a linear pair, the 2 angles will together sum up to 180°. So,

  • < FAE = 4x°
  • < FAB = 2x°

__________________

From the explanation, we can understand that,

Sum of the linear pair = 180°

< FAE + < FAB = 180°

4x° + 2x° = 180°

6x° = 180°

x° = 180 ÷ 6

x = <u>3</u><u>0</u><u>°</u><u>.</u>

__________________

  • The value of x will be<em><u> 30°</u></em> (3rd option).

__________________

<u>NOTE</u> : Here, the lesser than symbol ( < ) stands for 'angle'.

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Write a slope intercept equation for a line that passes through (-2,5) and (2,-7)
wlad13 [49]

Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

First, find slope using the given coordinates. Formula for slope: y₁ - y₂ / x₁ - x₂.

Our coordinates are (-2, 5) and (2, -7). Plug them in and simplify.

5 - (-7) / -2 - 2

5 + 7 / -4

12/-4

-3

The slope is -3. The equation becomes y = -3x + b.

To find b, plug an (x, y) coordinate on the line in for x and y in the equation and solve. I'll use (-2, 5)

y = -3x + b

5 = -3(-2) + b

5 = 6 + b

-1 = b

The y-intercept is (0, -1). The equation can now be completed!

<h3>Answer:</h3>

y = -3x - 1

7 0
3 years ago
A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T) at a distance of 9,000
Flura [38]

Answer:

∅ ≈ 56.31°

Step-by-step explanation:

The bird is spotted flying 6000 ft from a tower . The distance of the tower from the bird is 6000 ft. The height of the tower is 9000 ft because the observer spot the distance from the top of the tower at a distance of 9000 ft.

The illustration forms a right angle triangle. The adjacent side of the triangle is  6000 ft and the height or opposite side of the triangle is 9000 ft. Using tangential ratio the angle of depression from the bird to the observer can be found as follows.

Let

∅ = angle of depression

tan ∅ = opposite/adjacent

tan ∅ = 9000/6000

tan ∅ = 1.5

∅ = tan⁻¹ 1.5

∅ = 56.309932474

∅ ≈ 56.31°

7 0
3 years ago
What are the solutions of the equation (2x + 3)2 + 3(2x + 3) + 11 = 02 Use u substitution and the quadratic formula to solve.
Stella [2.4K]

Answer:

x=-2.4 or x= - 12/5

Step-by-step explanation:

hope that helps.

8 0
3 years ago
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Morgarella [4.7K]

Answer:

It would be 3124

5 0
3 years ago
You buy a 24 pack of 591mL bottles of water. How many Liters is that?
4vir4ik [10]
24 bottles x 591 mL/bottle = 14,184 mL

Since 1L = 1000 mL,

14,184 mL x 1L/1000mL = 14,184/1000 = 14.184L (14 whole liters)

3 0
3 years ago
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