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3 years ago

How do I do this ?This is very hard please help

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

The measure of m<JMO is 20 degrees

The triangle JOK is a 60 degrees equilateral triangle. Hence the measure of m<O at the center is 60 degrees.

<h3>Angle at a point</h3>

The sum of the angle at a point is 360 degrees.

Since the base angles of triangle KOL and OLM are equal hence;

m<KOL + m<MOL + m<JOM + m<JOK = 360 (angle at a point)

Substitute the base angles and the equilateral angles to get angle JOM

80 + 80 + m<JOM + 60 = 360

m<JOM = 360 - 360 - 220

m<JOM = 140 degrees

<h3>Sum of angles in a triangle</h3>

Since the sum of angle in the triangle JOM is 180 degrees, hence;

2m<JMO + m<JOM = 180

2m<JMO = 180 - 140

2m<JMO = 40

m<JMO = 20 degrees

Hence the measure of m<JMO is 20 degrees

Learn more on angles here: brainly.com/question/25770607

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Which will hold more juice, 12cans which is 150 ml or 2 bottles which is 1 liter

inn [45]

Answer:

if the two bottles are 1 liter each then those two bottles would hold more juice because in total they would hold two liters of juice

Step-by-step explanation:

the 12 cans of 150 ml would hold a total of 1.8 liters which is less than 2 liters

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4 years ago

Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-

levacccp [35]

Given:

The equation of parallel line is:

$3x-2y=5$

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).

To find:

The equation of required line.

Solution:

Midpoint of line segment joining the points (-4,2) and (2,4) is:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)$

$Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)$

$Midpoint=\left(-1,3\right)$

It means the required line passes through the point (-1,3).

The slope of line $Ax+By=C$ is:

$m=\dfrac{-A}{B}$

The given equation is:

$3x-2y=5$

Here, A=3 and B=-2. So, the slope of the line is:

$m=\dfrac{-3}{-2}$

$m=1.5$

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

$y-y_1=m(x-x_1)$

$y-3=1.5(x-(-1))$

$y-3=1.5(x+1)$

$y-3=1.5x+1.5$

Adding 3 on both sides, we get

$y=1.5x+1.5+3$

$y=1.5x+4.5$

Therefore, the equation of the required line is $y=1.5x+4.5$ .

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3 years ago

As part of this month's customer appreciation,

podryga [215]

Answer:

Hey there!

LCM of 12 and 5= 60

Thus, in 200 customers, 3 will get both free song and video downloads.

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4 years ago

Zahra is anxious to save money on her utility bills and knows that changing the temperature of the water when she does laundry c

STatiana [176]

The amount that will be saved yearly oh the utility bills will be $65 each year.

<h3>How to calculate the amount of utility saved</h3>

From the information given, the cost per load on hot wash is given as 71 cents per load and the cost of warm wash is given as 25 cents per load.

Therefore, the yearly cost for hot wash will be:

= 71 cents × 365

= 25915 cents

In this case, she cuts down the amount of laundry that she does in hot water to one-half will be:

= 25915 cents × (3/4 - 1/2)

= $259.15 × 0.25

= $65

In conclusion, the correct option is $65.

Learn more about utility on:

brainly.com/question/24719924

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