Answer:
It's either 39.2 or 39.3 (a more accurate answer) because it depends on what you round by. since it's Delta Math, you should get 2 attempts.
Step-by-step explanation:
Since they are similar, they are proportional.
54/11=4.90909091 or 4.9
Multiply 11 by 4.90909091 and you get 54
Multiply 8 by 4.90909091 and you get 39.3
if you multiply by 4.9 you get 39.2
Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
Answer:
The sum of all the sweets is 54 sweets
Step-by-step explanation:
Here, we want to calculate the number of sweets the three have altogether.
Let the number of sweet Faith has be x
Mathematically;
Faith has 4 sweets fewer than the average number of sweets
The average is the sum of all the sweets divided by 3
The average will be (10 + 30 + x)/3
Thus;
(10 + 30 + x)/3 - 4 = x
(40 + x)/3 = x + 4
40 + x = 3(x + 4)
40 + x = 3x + 12
40-12 = 3x -x
28 = 2x
x = 28/2
x = 14 sweets
So the sum of all the sweets would be 10 + 30 + 14 = 54 sweets
