Answer:
Step-by-step explanation:
Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.
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Given
∠GBD=4x+84
∠EFC=16x
m∠GBD=m∠EFC
Solve
4x+84=16x ⇔ Given
4x+84-4x=16x-4x ⇔ Subtract 4x on both sides
84=12x ⇔ Simplify
84/12=12x/12 ⇔ Divide 12 on both sides
x=7 ⇔ Simplify
Substitute the x value into each angle expression
∠GBD=4x+84=4(7)+84=28+84=112
∠EFC=16x=16(7)=112
Hope this helps!! :)
Please let me know if you have any questions
Answer:
$126.20
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Mike is buying eight tickets for a concert. </em>
<em>A package of five tickets costs $74.45. </em>
<em>Individual tickets cost $17.25 each.</em>
<u><em>To Find:</em></u>
<em>What is the least amount that Mike can pay for eight tickets? Be sure to include a decimal point in your answer.</em>
<u><em>Solve:</em></u>
<em>Since we know that:</em>
<em>A package of five tickets costs $74.45. </em>
<em>Individual tickets cost $17.25 each.</em>
<em>Hence we know that 5 + 3 = 8</em>
<em>Thus,</em>
<em>$74.45 = 5 tickets</em>
<em>Now for the 3 tickets we can do individual tickets which cost $17.25</em>
<em>$17.25 × 3 = 51.75</em>
<em>Then we add both together:</em>
<em>51.75 + 74.45 = $126.20</em>
<em />
<u><em>Kavinsky</em></u>
A. We're told the fan completes 45 full revolutions every minute. One full revolution is
, so the fan has an angular speed of

B. Throughout one full revolution of the fan, a point at the tip of one of the fan's blades travels the circumference of a circle with radius 16 in. The circumference is then
. This means the linear speed is

3 5/8 as a decimal is 3.625
Using the formula for surface area you get 880.52 mm^2