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3 years ago

How would you solve this?

Mathematics

1 answer:

butalik [34]3 years ago

3 0

Hello,

I suppose as we don't see correctely the 2nd image, that it is the first one.

Angles DOY and DKY intersept then same arc are equals.

5x+15=3x+21
==>2x=6
==>x=3 and 5x+15=5*3+15=30°, 3x+21=3*3+21=30°
Angle OYK=15x=15*3=45°
Angle ODK=9x+18=9*3+18=45° =Angle OYK which intersept the same arc.

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Show whether or not the product of a rational number and an irrational number is always a rational number. Explain why?

Mamont248 [21]

Answer:

Hi 345

Step-by-step explanation:

3 0

3 years ago

On the number line below, Point B lies somewhere between Points A and C. If AB = \frac{1}{3} AC. Find BC. a 16 b 0 c 8 d 24

ollegr [7]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the number line is not attached.

However, the following will guide you through

Given

$AB = \frac{1}{3}AC$

Required

Determine BC

First, we need to get the fraction of BC using the following

$AB + BC = AC$

Substitute $\frac{1}{3}AC$ for AB

$\frac{1}{3}AC + BC = AC$

Make BC the subject of formula

$BC = AC - \frac{1}{3}AC$

Take LCM

$BC = \frac{3AC - AC}{3}$

$BC = \frac{2AC}{3}$

$BC = \frac{2}{3}AC$

This implies that you multiply the length of AC by 2/3 to get BC

Take for instance, AC = 24

BC will be:

 $BC = \frac{2}{3} * 24$ 

 $BC = \frac{48}{3}$ 

 $BC = 16$ 

Or if AC = 12

BC will be:

$BC = \frac{2}{3} * 12$

$BC = \frac{24}{3}$

$BC = 8$

Or if AC = 36

BC will be:

$BC = \frac{2}{3} *36$

$BC = \frac{72}{3}$

$BC = 24$

5 0

3 years ago

A line whose slope is 4 and passes through the point (0, -9) lies on the line whose equation is: 4x + y = -9 4x - y = 9 y - 4x =

Papessa [141]

The general form of the equation of a line is represented by the Affine function y = mx + b, in which m represents the slope, b the y-intercept, y and x the coordinates of a point.
By hypothesis, we got the slope (m = 4), and the coordinates of a point (in which x = 0 and y = -9). So all we need to do is to find the y-intercept b.
Let's replace the values we have in the equation y = mx + b:

-9 = 4*0 + b
-9 = 0 + b
-9 = b.

We got now the y-intercept. So the final equation of the line is:
y = 4x - 9

If we subtract 4x from each side, we get:
y - 4x = -9
And if we multiply both sides by -1, we get:
4x - y = 9

So the equation of the line, based on your choices, is 4x - y = 9.

I've added a picture of the graph of the equation under the answer.

Hope this Helps! :)