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KatRina [158]
3 years ago
13

If m<2=35° and <1and <2 form a right angle. Find m <1.

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0
To solve this problem, we just need to set up a simple equation. We have that angles 1 and 2 add up to equal a right angle, or 90°, and that m<2 is 35°, so we just have to do a bit of subtraction.

<1 + <2 = 90   Given
<1 + 35 = 90   Substitute 35 for <2
<1 = 55°   Subtract 35 from both sides to get rid of it, since subtraction is the opposite of addition.

Therefore, m<1 = 55°.

Hope this helps!
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Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 cm^{3} equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 cm^{3} equals 0.034 oz.

By unitary method:

0.034 oz = 1 cm^{3}

1 oz = \frac{1}{0.034}

13.46 oz = \frac{1}{0.034}\times13.46 =395.88 \ cm^{3}

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 cm^{3}. Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = \pi r^{2} h

                   395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}

By cross multiplication:

                 395.88\times 7 =198\ h\\2771.16= 198\ h

By dividing both side by 198

h = 13.99 cm

Therefore,  height of the mug to the nearest centimeter is 14 cm.

                   

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Find the values of x and y​
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X= 20 & Y= 70 in right-angled triangle .

What is right angle triangle?

  • A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees.
  • The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base make up the sides that the right angle is formed from.
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2X + 140 = 180

2X = 40°

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X + Y = 90°

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Learn more about right-angled triangle

brainly.com/question/3770177

#SPJ13

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Step-by-step explanation:

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