Answer:
x = 68°
Step-by-step explanation:
∠ DCB = ∠ EDC = 27° ( alternate angles )
Thus ∠ ECB = 23° + 27° = 50°
The sum of the 3 angles in a triangle = 180°, thus
x = 180° - (62 + 50)° = 180° - 112° = 68°
Answer:
First term 
Second term 
Third term 
Step-by-step explanation:
Given,
First term 
Second term 
Third term 
Also,
With the value of 
, we conclude that the first three terms are as follows:
First term 
Second term 
Third term 
Answer:
Danny: y-=.75x+20
Avery: y=1.25x+18
Step-by-step explanation:
To write a system of equations, it usually equals y=mx+b. Since Danny and Avery both earn the set monthly allowance of 20 and 18 dollars respectively, those numbers go on the variable b since it's a set amount and they start off with that amount of money if they weren't nice to their mom at all.
Since we are trying to find the overall amount of money, let y=total money a child earns every month and x=how many times the child is nice to their mother.
The extra .75 cents Danny earns go under the variable m because it is dependent on how many times he is nice to his mom. Along with Avery.
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
= 
+ 6x² + 9 - ( - 2x² + 1) ← distribute by - 1
= + 6x² + 9 - + 2x² - 1 ← collect like terms
= 8x² + 8
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