Sine 60* = 0.86602540378
The answer that results in this number is √3/2
You take 3.5% of £42,000 and add that to £42,000, so...
0.035 (aka 3.5%) x 42,000= 1,470+42,000= 43,470...
The manager now makes £43,470
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°
Answer:
x=-6
Step-by-step explanation:
2x-1=3x-7
2x-3x=-7+1
x=-6
Answer:
7
Step-by-step explanation:
Those are alternate interior angles. Alternate interior angles are the ones that happen at different intersections along the transversal but on opposite sides while inside the lines the transversal goes through. If these lines are parallel, then the alternate interior angles are congruent. Same thing the other way around. Alternate interior angles being congruent implies those lines are parallel.
So we are looking to solve:
3x-2=2x+5
Subtract 2d on both sides:
x-2=5
Add 2 on both sides:
x=7
