Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)
Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
Answer:
Step-by-step explanation:
Distribute -3 through the parentheses
Similarly, Distribute 4 through the parentheses
⇒
Collect like terms
⇒
Calculate
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Move 33 to right hand side and change it's sign
⇒
Calculate
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Hope I helped!
Best regards!!
Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(8−12x)+8x=−25x+52
(2)(8)+(2)(−12x)+8x=−25x+52(Distribute)
16+−24x+8x=−25x+52
(−24x+8x)+(16)=−25x+52(Combine Like Terms)
−16x+16=−25x+52
−16x+16=−25x+52
Step 2: Add 25x to both sides.
−16x+16+25x=−25x+52+25x
9x+16=52
Step 3: Subtract 16 from both sides.
9x+16−16=52−16
9x=36
Step 4: Divide both sides by 9.
9x/9 = 36/9
x = 4
You can work these in your head if you consider the revenue generated by the least contributor (children's tickets) and the difference in revenue between that and the larger contributor ($2.00 -1.50 = 0.50).
If all were children's tickets, the revenue would be 500*$1.50 = $750.00. The actual revenue exceeded that amount by $862.50 -750.00 = 112.50. This difference in revenue is made up by the sale of $112.50/$0.50 = 225 adult tickets. Then the number of children's tickets is 500 -225 = 275.
225 adult tickets were sold
275 children's tickets were sold.
_____
If you need an equation, you can write an equation using a variable for the number of adult tickets sold (the largest contributor).
.. (500 -a)*1.50 +a*2.00 = 862.50
.. 0.50a = (862.50 -750.00) . . . . . does this look familiar, yet?
.. a = 112.50/0.50 = 225
Answer: All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3x−1)=6x−2
Step 1: Simplify both sides of the equation.
2(3x−1)=6x−2
(2)(3x)+(2)(−1)=6x+−2(Distribute)
6x+−2=6x+−2
6x−2=6x−2
Step 2: Subtract 6x from both sides.
6x−2−6x=6x−2−6x
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
