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2 years ago

ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?

Mathematics

2 answers:

Goshia [24]2 years ago

7 0

Answer:

The correct answer is 82

Step-by-step explanation:

denis23 [38]2 years ago

4 0

I hope this helps you

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Does anybody know thisss?????!!!!!

nataly862011 [7]

There are 12 months in most years.
.. 23%/12 ≈ 1.91667%

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3 years ago

Please help I can't work out the gradient

Annette [7]

Answer:

a is 2.5

b is 1

gradient is rise over run

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3 years ago

Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

lara [203]

Answer:

11 and 12

Step-by-step explanation:

x=smaller

y=larger

2y=3x-9 x+1=y

2(x+1)=3x-9

2x+2=3x-9

11=x

11+1=y

12=y

3 0

3 years ago

Pythagorean theorem to determine if a triangle with sides 2 ft,5ft,4ft is a right triangle

Delvig [45]

$a^2 + b^2 = c^2$

$2^2 + 4^2 = 5^2$

$4 + 16 = 25$

$20 = 25$

Since 20 = 25 is clearly a false statement, the three side lengths 2 ft, 4 ft, and 5 ft do not form a right triangle.

4 0

3 years ago

Find gradient xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to x, assuming y = y(x).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for dy/dx :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

$\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}$

If y ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}$

4 0

3 years ago