Answer:
2. A = 30°
3. x = 12
Step-by-step explanation:
2.
The angle OPPOSITE of the angle "8x +4" is also same because they are vertical angles (makes a "cross").
The angle beside (adjacent) to the 130 degree angle is 50. Because a straight line is 180 degrees. So 130 ADDED to WHAT will make 180?
130 + WHAT = 180
WHAT = 180 - 13- = 50
Now, we have all the 3 angles of a triangle. We know sum of 3 angles in a triangle is 180, thus we can write:
3x - 6 + 50 + 8x + 4 = 180
Now, we can first, solve for x:
The value of "x" is 12. But we need measure of Angle A which is "3x - 6". So we plug in x = 12 in it.
A = 3x - 6
A = 3(12) - 6
A = 36 - 6
A = 30°
3.
The Square inside the triangle means the angle is a 90 degree angle. The other 2 angles are shown as algebraic expression.
We know sum of 3 angles in a triangle is 180 degrees. Thus we can write an equation in "x" and solve for x. Shown below:
Thus, the value of x is 12
Answer:
7,6
Step-by-step explanation:
the square root of 49 is 7 and
the square root of 36 is 6
so it must be between 7 and 6
Answer:
The general solution is
Step-by-step explanation:
Given differential equation is
y''-4y'+4y=0
and
To find the we are applying the following formula,
The general form of equation is
y''+P(x)y'+Q(x)y=0
Comparing the general form of the differential equation to the given differential equation,
So, P(x)= - 4
The general solution is
Answer:
0.0996
Step-by-step explanation:
6≥5
rounds up
5 goes up to 6
0.0996 has 4 d.p
Answer:
Step-by-step explanation:
Part 1
$6.84 + $4.88 + $8.32 + $4.98 = $25.02
The total cost of the steaks comes to $25.02.
Part 2
2 × 20 = 40
40 - 25.02 = 14.98
1.25 is 5% of 25.02
14.98 - 1.25 = 13.73
The family gets $13.73 back in change.
Part 3
6.84 ÷ 12 = 0.57
4.88 ÷ 8 = 0.61
8.32 ÷ 16 = 0.52
4.98 ÷ 6 = 0.83
Part 4
0.83 - 0.52 = 0.31
They should buy larger steaks to share because the larger steaks are $0.31 cheaper than the smaller steaks.