Answer: ∠B = 50°
∠BCD = 40°
<u>Step-by-step explanation:</u>
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
Find the common ratio by dividing.
16 / 8 = 2
8 / a = 2
2 / b = 2
The common ratio is 2.
Since we need to find the values of a and b, use the common ratio to solve for them.
8 / 2 = 4 (a)
2 / 2 = 1 (b)
Now, we know that first 5 terms.
We can solve for the 8th term using the previous terms and the common ratio.
6th term: 1 / 2 = 0.5
7th term: 0.5 / 2 = 0.25
8th term: 0.25 / 2 = 0.125
Part A: 2
Part B: a = 4, b = 1
Part C: 0.125
Best of Luck!
Answer:
Step-by-step explanation:
Gradient of a line =( y2 - y1)/x2 - x1
From the question, x1=4,y1=-1,x2=1,y2=0.
Therefore, substitute for these values in the above formula
m = 0-(-1)/1-4
= 0+1/-3
= -1/3.
Therefore, y-y1/x-x1 = -1/3
y - y1 = -1/3(x - x1)
y - (-1) = -(x-x1)/3
y+1 = - (x - 4)/3
Multiply through by 3
3y+3= -x+4
3y +x=4-3
x+3y= 1
Therefore the answer is A.
Round each coin weight to the nearest gram first, penny 3g, nickel 5g, dime 2g, quarter 6g, half dollar 11g. Now add those numbers together as he has one of each coin 3+5+2+6+11=27 grams
Answer:
6/5 x (x-6)
Step-by-step explanation:
convert the decimal into a fraction
1.2x -7.2
6/5x - 36/5
factor 6/5 from the expression
6/5x (x-6)
