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Anika [276]
3 years ago
9

If m∠1 = m∠2, then m∠1 is:

Mathematics
1 answer:
dmitriy555 [2]3 years ago
7 0

Answer:

equal to m<2.

Step-by-step explanation:

Whatever the angle of m<1 is, it is also the measure of m<2 and vice versa.

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What is the measure of angle PMN? (Image included)
yarga [219]
A quadrilateral QNML is a trapezoid, therefore |∡QNM| + |∡NML| = 180°

|∡NML| = 180° - |∡QNM| ⇒ |∡NML| = 180° - 82° = 98°

|∡NML| = |∡NMP| + |∡PML| ⇒ |∡NMP| = |∡NML| - |∡PML|

|∡NMP| = 98° - 30° = 68°

Answer: |∡NMP| = 68° .
5 0
4 years ago
Can u guys help me on number 4 and 5
Mekhanik [1.2K]

I hope this helps you! Feel free to ask ant questions

7 0
3 years ago
A cylindrical can, open at the top, is to hold 840 cm3 of liquid. Find the height and radius that minimize the amount of materia
ycow [4]

Answer:

the radius of the base is equal to x=2\sqrt[3]{\frac{105}{\pi } }

And the height is equal to:

y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }

Step-by-step explanation:

We write the volume function

f(x,y)=840=\pi x^{2} y where x is the radius of the base and y is the height of the cylinder

y=\frac{840}{\pi x^{2} }

The surface of a cylinder is given by

S(x)=\pi x^{2} +2\pi xy=\pi x^{2} +\frac{1680}{x} on the interval from 0 to infinity

We now determine the critical values by differentiating and making the equation equal to 0

f'(x)=2\pi*x- \frac{1680}{x^{2}} =\frac{2\pi x^{3}-1680}{x^{2} } =0

This equation have 2 complex solutions and one real solution

x=2\sqrt[3]{\frac{105}{\pi } }

For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to x=2\sqrt[3]{\frac{105}{\pi } }

And the height is equal to:

y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }

y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }

7 0
3 years ago
Fresh produce is delivered to a restaurant every four days. Every 6 days, the restaurant receives a delivery of a dried and cann
trapecia [35]

Answer:

12

Step-by-step explanation:

4,8,12

6,12

They both have 12 in common

3 0
4 years ago
Answer Choices:
astra-53 [7]
The answer is D. 60'. You add both angles together, then subtract them from 180.
60+70=120
180-120=60
4 0
3 years ago
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