Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
<h2>Answer</h2>
A. Angle E = 113°
B. x = 16°
<h2>Explain</h2>
<u>Number A</u>
92 + 70 + 85 + ? = 360
162 + 85 + ? = 360
247 + ? = 360
? = 360 - 247
? = 113°
<u>Number B</u>
108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360
(180 + 84 + 30 + 18) + (x + 2x) = 360
312 + 3x = 360
3x = 360 - 312
3x = 48
x = 48/3
x = 16°
#LearnWithBrainly
Answer: 2412(-2)
(-2)- small numbers
Explanation: you would divide (due to it being a negative 2) by two 10s to get your original number
Answer:
John received 10% of the overall votes.
Step-by-step explanation:
Let us assume that the number of votes John got = m
So, the number of votes Vivienne received = 3 times (John's share )
= 3 times m = 3 m
Also, The number of Votes Nassim received = 2 times ( Vivienne's share)
2 x (3 m) = 6 m
Total Votes in the grade 6
= Votes received by { John + Vivienne + Nassim}
= m + (3 m) + (6 m) = 10 m
Hence, the total number of students who voted in grade 6 = 10 m
= 
or, The percentage of John's Votes = 10%
Hence, John received 10% of the overall votes.
Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is -69.
Step-by-step explanation:
- Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.
⇒ 6y² - 21y - 3y + 12 - 63
⇒ 6y² - 24y - 51
- Step 2: Find value of the expression for y = -2
⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21
- Step 3: Find value of the expression for y = 3
⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69
