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2 years ago

Given: A regular hexagon; M is the midpoint of angle NO and RP. Prove: Angle NRM = Angle OPM

Mathematics

1 answer:

gavmur [86]2 years ago

3 0

Answer:

Step-by-step explanation:

Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.

So that;

NR ≅ OP (property of a regular polygon)

PM ≅ RM (half of the distance across flats of a polygon)

NM ≅ OM (half of the distance across flats of a polygon)

<NMR ≅ <PMO (vertically opposite angles)

<NRM ≅ <OPM (alternate angle property)

<RNM ≅ <POM (alternate angle property)

This therefore proves that: ΔNRM = ΔOPM

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hii i need help with a geometry problem. i'll mark you brainliest!! please please help i really need to solve this.

k0ka [10]

Answer:

∠ ABC = 81° , ∠ FEC = 90°

Step-by-step explanation:

Since AB ≅ BC then Δ ABC is isosceles.

The median BE is therefore

The angle bisector of ∠ ABC and

BE bisects AC at right angles.

Thus

∠ ABE = ∠ CBE = 40° 30' , then

∠ ABC = 2 × 40° 30' = 81°

Since BE is perpendicular to AC then

∠ FEC = 90°

8 0

3 years ago

The lengths of the sides of a triangle are in the ratio 3:4:5. Find the lengths of the sides of this triangle if its perimeter i

Strike441 [17]

Answer: 16 one side 32 second side 48 third side

Step-by-step explanation:

16;32;48

3;4;5

4 0

3 years ago

If the line 2x+3y=6 is perpendicular to the line ax+4y=3, then a=?

olga nikolaevna [1]

Answer:3y=−2x+12

y=(−2x+12)/3

y=-2x/3+4

m=-2/3

perpendicular -1/m=3/2

y=mx+c

y=3/2x+12

2y=3x+12

Step-by-step explanation:

8 0

2 years ago

A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service

Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

$y-264.70=39.95(x-6)$

Part b) The equation in slope intercept form is

$y=39.95x+25$

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

$y-y1=m(x-x1)$

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

$m=39.95\ \frac{\$}{month}$

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

$y-264.70=39.95(x-6)$ ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$y-264.70=39.95(x-6)$

Isolate the variable y

Distribute right side

$y-264.70=39.95x-239.70$

Adds 264.70 both sides

$y=39.95x-239.70+264.70$

$y=39.95x+25$

Part c) what is the setup fee?

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

$y=39.95(0)+25$

$y=\$25$

The setup fee is $25

8 0

3 years ago

PLEASE I NEED THIS <br> SO MANY POINTS

katovenus [111]

The speed of Sali is 18.75 km/hr.

Given,

Total distance travelled by Jane and Sali =63 km.

The total time is taken by Jane=3.5 hours.

Sali started to cycle 4 minutes after Jane started to cycle $=\frac{4}{60}=\frac{1}{15}$ hours.

<h3>What is the formula to find speed?</h3>

The formula to find speed is $Speed=\frac{Distance}{Time} \ km/hr$ .

The speed of Jane $=\frac{63}{3.5}=18 \ km/hr$ .

Let the speed of Sali be $x \ km/hr$ .

Sali caught up with Jane when they had both cycled 30 km.

Thus, $\frac{30}{18}-\frac{30}{x}=\frac{1}{15}$

$\implies \ \frac{30x-540}{18x} =\frac{1}{15}$

$\implies \ 15(30x-540)=18x$

$\implies \ 5(30x-540)=6x$

$\implies \ 150x-2700=6x$

$\implies \ 144x=2700\implies \ x=18.75$

Therefore, the speed of Sali is 18.75 km/hr.

To learn more about the speed visit:

brainly.com/question/7359669.

#SPJ1

4 0

1 year ago