Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.
A, 2^12.
3x - y = 12 can also be written as 3x - 12 = y
The fraction is 8^x / 2^y,
Substitute y = 3x - 12 into fraction,
8^x / 2^[3x - 12]
= 8^x / [(2^3)^x × 2^(-12)]
= 8^x / [(2 × 2 × 2)^x × 2^(-12)]
= 8^x / [8^x × 2^(-12)]
{8^x can be factorised out of numerator and denominator of fraction}
= 1 / 2^(-12)
{When the denominator becomes numerator, the power sign is switched from - to +}
= 2^(12)
Hope this helps! :)
Answer:
25.375
Step-by-step explanation:
17.50×45%=7.875
17.50+7.875=25.375 new price
Answer:
7/3
Step-by-step explanation:
y2-y1/x2-x1
-2-(-9)/6-3 = -2+9/3 = 7/3
For the first image it is option 4
Second image it is option 1
third image it is 3 dogs
