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REY [17]
3 years ago
14

BD bisects /ABC. Find the value of x.​

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0

Answer:

x=8

Step-by-step explanation:

we know that

If BD bisects angle ABC

then

m∠ABD=m∠DBC

substitute the given values

(2x+7)\°=(4x-9)\°

Solve for x

4x-2x=7+9

2x=16

x=8

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Find the interquartile range from 2, 5, 9, 1, 6, 9, 3 round to the nearest tenth
MariettaO [177]
Put the numbers in order
1,2,3,5,6,9,9

Q1 = 2
Q2 (median -- middle number) = 5
Q3 = 9

IQR = Q3 - Q1 = 9 - 2 = 7
4 0
3 years ago
7
jeyben [28]

Answer:

x = -2

Step-by-step explanation:

Given the point, (-2, 9) and the linear equation of a <u>horizontal line</u>, y = 6:

The linear equation of a horizontal line with a slope of zero (<em>m</em> = 0) is y = <em>b, </em>for which the y-intercept is (0, <em>b</em>). <u>Perpendicular lines</u> comprise of the intersection of two lines forming 90° angles.  

Since we are given the equation of a horizontal line, then we can assume that <em>the line that intersects a horizontal line must be a </em><u><em>vertical line</em></u> in order to form perpendicular lines.

The linear equation of a <u>vertical line</u> with an undefined slope is <em>x</em> = <em>a</em>, for which the x-intercept is (<em>a</em>, 0). Vertical lines have an <u>undefined slope </u>because these lines do not have any horizontal change. Thus, when you try to solve for its slope, the denominator will have a difference of 0, making the mathematical operation undefined.

We can use the <u>x-coordinate</u> of the given point, (-2, 9), to formulate an equation for a vertical line: x = -2.

Therefore, the equation of the line that goes through y = 6 is x = -2.

Attached is a screenshot of the graph of both equations, y = 6 and x = -2, showing that their intersection form 90° angles, making them perpendicular lines.      

8 0
3 years ago
Identify the linear and quadratic factor(s) of the function f(x):
kykrilka [37]

Answer:

f(x) = (x^2 -4) ( x-5)

Here quadratic factor is ( x^2 -4) As x contains power 2

and linear factor is (x-5) as x contains power 1

7 0
3 years ago
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algol13
B is the correct. Because if you look at the problem I can turn it around and see
6 0
3 years ago
5. A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is appro
Temka [501]

Answer:

the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

Where r = radius or the length of the radius

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 × π × r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛(3V/4π) = r

Substituting our given values in the question, we have:

∛(3 × 3052.08/ 4 ×3.14) = r

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Therefore, the length of the radius of the Earth Model = 9cm

7 0
3 years ago
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