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IrinaK [193]
3 years ago
14

angle 3 and angle 4 form a linear pair. the measure of angle 3 is four more than three times the measure of angle 4. find the me

asure of each angle
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
4 0
Since angles 3 and 4 form a linear pair, the sum of the measures of their angles must add up to 180. 

We can define angle 3 as x, and angle 4 as (180-x). 

x = 3 ( 180 - x ) + 4.

Solving for x, we get x=138. This is angle 3. Angle 4 is 180-138, so angle 4 is 42.
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The frustum can be considered as consisting of a square pyramid, less the

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Reasons:

The given parameter of the frustum are;

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Height of pyramid, h = 9 cm

Side length of base = 10 cm

Height of frustum

By proportional shapes, the side length of the top of the frustum can be found as follows;

\dfrac{4 \, cm}{9 \, cm} = \dfrac{x}{10 \, cm}

x = \dfrac{4 \, cm}{9 \, cm} \times 10 \, cm = 4\frac{4}{9} \, cm

V = \dfrac{h}{3} \times \left(B_1 + B_2 + \sqrt{B_1 \times B_2} \right)

B₁ = 10², B₂ = \left(4\frac{4}{9} \right)^2

Therefore;

V = \dfrac{4}{3} \times \left(10^2 + \left(4\frac{4}{9}  \right)^2  + \sqrt{10^2 \times  \left(4\frac{4}{9}  \right)^2} \right) \approx 218.93

The volume of the stand, V ≈ 218.93 cm³

Mass = Volume × Density

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Learn more here:

brainly.com/question/24323975

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What does supplementary mean
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Ed turns 34 and deposits $100 at the end of each month in IRA that earns 9% interest p.A compounded monthly. Find how much will
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Answer:

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Step-by-step explanation:

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FV= {A*[(1+i)^n-1]}/i

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FV= {100*[(1.0075^312) - 1]} / 0.0075

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Answer:

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