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3 years ago

Given m n, find the value of x and y. (37-18) (8x+12) m (2X+18) n

Mathematics

1 answer:

adelina 88 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

The two inside angles will sum to 180°.

The top to angles are equal.

Think about this as what if both of the parallel lines were intersected by a perpendicuar line. Every angle would be a right triangle 90°. The inside angles will sum to 180° and the opposite angles are again equal.

(2x + 18) + (8x + 12) = 180

10x + 30 = 180

10x = 150

x = 15

-------------------------

(3y - 18) = (8x + 12) x = 15

(3y - 18) = (8(15) + 12)

(3y - 18) = (120 + 12)

(3y - 18) = 132

3y = 132 + 18

3y = 150

y = 50

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Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d

qwelly [4]

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

3 0

3 years ago

The sum of two numbers is 15. four times the smaller number is 60 less than twice the larger number. what is the larger number?

kirza4 [7]

X = smaller number, y = larger number
x + y = 15.....x = 15 - y
4x = 2y - 60

4(15 - y) = 2y - 60
60 - 4y = 2y - 60
60 + 60 = 2y + 4y
120 = 6y
120/6 = y
20 = y <==== larger number is 20

x + y = 15
x + 20 = 15
x = 15 - 20
x = - 5

4 0

4 years ago

Please help me with this question

Natali5045456 [20]

Again, In this question too you need to substitute the given variable values into the original expressions. Here, "x" is given as a value of "12" and the variable of "y" is given as as value of "2". A single variable of "x" in the numerator is given in the expression. On the denominator the variable of "y" with a value of "2" is multiplied by a numbered value of "3". So, now showing this by the help of LaTeX.

$\mathbf{Since, \: x = 12, \: y = 2}$

$\mathbf{\therefore \quad \dfrac{12}{3 \times 2}}$

$\mathbf{\therefore \quad \dfrac{12}{6}}$

$\mathbf{2}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is: \: B) \: 2}}}$

Hope it helps.

3 0

3 years ago

Simplify the problem pleaseee

ladessa [460]

Answer:

16x²+6x+3

Step-by-step explanation:

x²+6x+3(5x²-4)+15

x²+6x+15x²-12 +15

16x²+6x+3

8 0

3 years ago