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MatroZZZ [7]
2 years ago
15

Find the value of x.6 3 2 x​

Mathematics
1 answer:
love history [14]2 years ago
3 0

Answer:

x=4

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

\frac{BA}{BC}=\frac{AD}{DC}

Substitute,

\frac{x}{6}=\frac{2}{3}

Cross products,

3(x)=2(6)

Simplify,

3x=12

Inverse operations,

3x=12\\\\x = 4

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At pizza express it takes 6 cups of cheese to make 15 pizzas. At perfect pizza it takes 4 cups of cheese to make 6 pizzas. If th
rodikova [14]

Pizza Express has a larger constant of proportionality than Perfect Pizzas because <u><em>1.6 > 1.5</em></u>

15/6        6/4

<em>   Simplify</em>

<u>5/3    >    3/2</u>

<em>PE: 5/3 or 1.6</em>

<em>PP: 3/2 or 1.5</em>

<em />

I had this on my math test

4 0
3 years ago
Carl is standing at the top of 35 Ft cliff looking down at a rock for motion in the sea. He estimates the angle of depression is
Liula [17]

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Data;

  • Angle = 30 degree
  • Opposite = 35
  • Adjacent = x

<h3>Trigonometric Ratio</h3>

Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.

SOHCAHTOA

Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.

Tan\theta = \frac{opposite}{adjacent} \\tan 30 = \frac{35}{x}\\ x = \frac{35}{tan30}\\ x = 60.62ft

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.

Learn more on trigonometric ratio here;

brainly.com/question/12172664

7 0
2 years ago
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes. An IRS employee announces at lu
belka [17]

Answer:

Mean = 2

Standard deviation = 1.356

Step-by-step explanation:

We are given;

Probability of taxpayers that make mistakes when filling out forms: p = 0.08

Sample size; n = 25

In binomial distribution;

Means is;

μ = np

Thus;

μ = 25 × 0.08

μ = 2

Formula for standard deviation here is;

σ = √(np(1 - p))

σ = √(25 × 0.08(1 - 0.08))

σ = 1.356

7 0
3 years ago
Which equation is equivalent to<br> Sq rt x+ 11 = 15?
vladimir2022 [97]
I do y get this but it might be 4
7 0
3 years ago
3d-4 when d=1.2<br><br><br> Please help its homework
AysviL [449]
-0.4 because it is 3.6 - 4
5 0
3 years ago
Read 2 more answers
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