Answer:
<h2>8(7n - 2) - 6(7n + 1) = 14n - 22</h2>
Step-by-step explanation:
8(7n - 2) - 6(7n + 1)
use the distributive property: a(b + c) = ab + ac
= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1
= 56n - 16 - 42n - 6
combine like terms
= (56n - 42n) + (-16 - 6)
= 14n - 22
Answer:
Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each
(Lower boundary is included, upper boundary is not)
Average
no. of --------> frequency
movies
_______ __________
0 - 1 --------------> 1
1 - 2 --------------> 5
2 - 3 --------------> 5
3 - 4 --------------> 2
4 - 5 --------------> 1
For frequencies, just count the data values in each interval
Answer:
m∠DBC is 43°
Step-by-step explanation:
Let us solve the question
∵ D is in the interior of ∠ABC
→ That means D divides ∠ABC into two angles ABD and DBC
∴ m∠ABD + m∠DBC = m∠ABC
∵ m∠ABD = (3x + 5)°
∵ m∠DBC = (5x - 7)°
∵ m∠ABC = 78°
→ Substitute them in the equation above
∴ 3x + 5 + 5x - 7 = 78
→ Add the like terms in the left side
∵ (3x + 5x) + (5 + -7) = 78
∴ 8x + -2 = 78
∴ 8x - 2 = 78
→ Add 2 to both sides
∴ 8x -2 + 2 = 78 + 2
∴ 8x = 80
→ Divide both sides by 8
∴ x = 10
→ To find m∠DBC, substitute x by 10 in its measure
∵ m∠DBC = 5(10) - 7
∴ m∠DBC = 50 - 7
∴ m∠DBC = 43°
Step-by-step explanation:
I'll solve but ur solving for x I assume?
