Answer:
42
Step-by-step explanation:
Trapezoid has 4 lines
If each side increase by 7, 4 lines totally increase by 7*4 = 28
Perimeter will be 14 + 28 = 42
Answer:
0.77
Step-by-step explanation:
From the information given:
The breakdown time (a)= 3 hours
The breakdown rate (λ) = 1/a = 1/3
Average flow time in the system (W) = 2.305 hours
For the entire system;
The average down machines L = Wλ
= 2.305 × (1/3)
= 0.77
12x=4(x-5)
distributive property to get rid of parenthesis 12x=4x-20
subtract x from one side to get the variable on one side 8x=-20
divide 8 by -20
x=-2.5
Answer:
m∠P = 82°
m∠Q = 49°
m∠R = 49°
Step-by-step explanation:
<em>In the isosceles triangle, the base angles are equal in measures</em>
In Δ PQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ ∠Q and ∠R are the base angles
→ By using the fact above
∴ m∠Q = m∠R
∵ m∠Q = (3x + 25)°
∵ m∠R = (2x + 33)°
→ Equate them
∴ 3x + 25 = 2x + 33
→ Subtract 2x from both sides
∵ 3x - 2x + 25 = 2x - 2x + 33
∴ x + 25 = 33
→ Subtract 25 from both sides
∵ x + 25 - 25 = 33 - 25
∴ x = 8
→ Substitute the value of x in the measures of angles Q and R
∵ m∠Q = 3(8) + 25 = 24 + 25
∴ m∠Q = 49°
∵ m∠R = 2(8) + 33 = 16 + 33
∴ m∠R = 49°
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠P + m∠Q + m∠R = 180°
→ Substitute the measures of angles Q and R
∵ m∠P + 49 + 49 = 180
∴ m∠P + 98 = 180
→ Subtract 98 from both sides
∵ m∠P + 98 - 98 = 180 - 98
∴ m∠P = 82°
Step-by-step explanation:
-3x + 7y = 5x + 2y (you subtract the 2y from both sides)
-3× + 5y = 5x (then add 3x to both sides)
5y = 8x (use x = - 5)
5y = 8x - 5 = -40 (both sides are divided by 5)
y = -8
answer is (-5, -8)
