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3 years ago

Which angles form a linear pair ?

Mathematics

1 answer:

sergejj [24]3 years ago

6 0

Answer: I believe MRN and NRO

Step-by-step explanation:

A pair of linear angles is formed when two lines intersect, they have to add up to 180 degrees so MRN + NRO equal 180

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A company sells widgets. The amount of profit, y, made by the company, is related to

Y_Kistochka [10]

Answer:

<em>774 dollars</em>

Step-by-step explanation:

Given the amount of profit, y, made by the company, is related to

the selling price of each widget, x, by the given equation

y = -8x^2 + 242x – 1056

The company made her maximum profit when dy/dx = 0

dy/dx = -16x + 242

0 = -16x + 242

16x = 242

x = 242/16

x = 15.125

Get the maximum amount of the profit

Substituting x = 15.125 into the function we have:

y = -8(15.125)^2 + 242(15.125) – 1056

y = -8(228.77)+3,660.25-1056

y = -1,830.09+3,660.25-1056

y = 773.91

<em>Hence the maximum amount of profit the company can make, to the nearest dollar is 774 dollars</em>

7 0

3 years ago

HELPPPPPPPPPPPPPPP RATE 5 STARSS

Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is: $\sqrt{(x-w)^{2} +(y-z)^{2} }$

so, the length of the side AB =

$\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5$

the length of side BC =

$\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }$

the length of side AC=

$\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4$

now, the easiest one will be when the vertices are on the coordinate axes.

so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

here, the alternate interior angles are angle1 and angle4.

therefore to prove this step, he used parallel postulate as a reason.

so, the correct option is "a"

7 0

4 years ago

The hypotenuse of a right triangle is 15cm long. One of the triangle’s legs is two times the length of the other leg. Find the l

vladimir2022 [97]

Answer:

6.7cm, 13.4cm, 15cm.

Step-by-step explanation:

Let x be one side of the triangle. The question tells us the other side is 2x.

We can relate all 3 sides using the Pythagorean Theorem:

$15^2=x^2+(2x)^2\\225=x^2+4x^2\\225=5x^2\\x^2=45\\x=6.7$

That means the side lengths are 6.7cm and 2 x 6.7 cm = 13.4cm.

6 0

3 years ago

Read 2 more answers

I NEED HELP PLEASE PLEASE HELP ME :(

Rama09 [41]

Answer:

-1/125

Step-by-step explanation:

1/(-5)^3

evaluate

1/-125

5 0

3 years ago

El doble de un numero al cubo menos el triple de otro al cuadrado, esta expresión a cual corresponde?

topjm [15]

15 hope this helpsssm

7 0

3 years ago