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aniked [119]
3 years ago
11

Please help me with complement or supplement of an angles.

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer:

60

Step-by-step explanation:

If we look at the picture, we can see that its a right angle having a 90 degree.

We can make a equation with this as we know that m1 and m2 has to equal 90

x + y = 90

Since we know that m2 = 30 we can plug 30 for x

(30) + y = 90

Now we simply moving the 30 to the 90

y = 90 - 30

y = 60

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Two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.
spin [16.1K]

Answer:

Step-by-step explanation:

We can eliminate options C and D quite quickly because factoring either one would have one equation be y = x and the other either y = 72x - 96 or y = 72x + 108. Neither of these added to x will give either option A or B

so that leaves E.

72x² – 204x + 144 = 0

we can find the zeros

x = (204 ± √(204² - 4(72)(144))) / (2(72))

x = (204 ± 12) / 144

x = 1.5

x = 4/3

so the equation has factors

(x - 1.5)(x - 4/3)

and therefore also a factor in their product

x² - (\frac{17}{6})x + 2

which is 1/72 of the original quadratic

so all factors of E are

72(x - 1.5)(x - 4/3)

now we need to distribute factors of 72 among the other two factors so that when we add them together the x¹ terms are either 16 or 17  and the x⁰ terms sum to -12. let "a" and "b" be the factors of 72.

ab = 72

a = 72/b

-1.5a - 4b/3 = -12

1.5a + 4b/3 = 12

1.5(72/b) + 4b/3 = 12

108/b + 4b/3 = 12

 324/b + 4b = 36

   324 + 4b² = 36b

        81 + b² = 9b

b² - 9b + 81 = 0

b = (9 ±√(9² - 4(1)(81))) / 2(1))

b = (9 ± √-243) / 2

as both of these roots are imaginary numbers

there is no valid solution to this problem as posed

IF we allow a slight edit to answer B, we can factor 72 into 9•8

y = 8(x - 1.5)    y = 9(x - 4/3)

y = 8x - 12       y = 9x - 12

so the sum of the two would be 17x - 24

7 0
2 years ago
What is the formula to a trapezoid
Molodets [167]
[(upper legth + lower length) x height] divided by 2
3 0
3 years ago
PLEAZE HELP IM FAILING THIS CLASS 9) The volume of a box is represented by x' +11x² + 20x – 32. The width of the box is x – 1, a
In-s [12.5K]

Answer:

Step-by-step explanation:

Volume of the box  =  x³ +11x² + 20x – 32        I think the ' is a typo for ³

      the width is x-1    and the height is x+8      

Find an expression for the length

       Vol = LWH    solve L

        Vol / (WH)   =  L     so

L  =  (x³ +11x² + 20x – 32) / (x-1) (x+8)      

                    so it would help to factor the numerator

       (x³ +11x² + 20x – 32)       I'm willing to bet (x-1) and  (x+8) are factors

                                               but I will plot the equation to find the three roots

        (x³ +11x² + 20x – 32)  = (x-1) (x+8) (x+4)

L  =  (x³ +11x² + 20x – 32) / (x-1) (x+8)

   =  (x-1) (x+8) (x+4) / (x-1) (x+8)           the (x-1) and (x+8) cancel out leaving

L =   (x + 4)

7 0
3 years ago
Plz Help me find the linear equation!!!!!!!!
Alexxx [7]

Answer:

you need to show or tell us the problem for us to be able to help you

Step-by-step explanation:

:/

5 0
3 years ago
Read 2 more answers
Find the products (4m+5)(3m-6)
Vesnalui [34]

Answer:

12m^2 - 9m -30

Step-by-step explanation:

So rewrite the equation to this:

4m * 3m

4m * -6

5 * 3m

5 * -6

Now solve:

4m * 3m = 12m^2

4m * -6 = -24m

5 * 3m = 15m

5 * -6 = -30

Now add them together in order:

12m^2 - 24m + 15m - 30

Simplify -24m and 15m:

12m^2 - 9m -30

Thus

12m^2 - 9m -30 is the answer

Hope this helps!

4 0
3 years ago
Read 2 more answers
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