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NeX [460]
2 years ago
8

Solve the following inequality: ALGEBRA 1

Mathematics
1 answer:
Alexxandr [17]2 years ago
6 0

Answer:

m \leqslant 10 \: or \: m > 4

Step-by-step explanation:

\frac{m - 2}{3}  \leqslant  - 4 \\  \frac{m - 2}{3}  \times 3 \leqslant -  4 \times 3 \\ m - 2 \leqslant  - 12 \\ m - 2 + 2 \leqslant  - 12 + 2 \\ m \leqslant 10

OR

3m - 8 > 4 \\ 3m - 8 + 8 > 4 + 8 \\ 3m > 12 \\  \frac{3m}{3}  > \frac{12}{3} \\ m > 4

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A carpenter charges $325 for 13 hours of work. She charges the same amount of money for each hour of work.
Citrus2011 [14]

Answer: She charges 25 dollars per hour.

Step-by-step explanation:

325 dollars for 13 hours means we have to divide 325 by 13 to get the amount that she charges for every hour. $325 / 13 hours = $25 per hour.

3 0
3 years ago
Write an equation to show the angle relationship between adjacent angles.
SpyIntel [72]
Definition

Adjacent angles are two angles in a plane that have a common vertex and a common side but no common interior points.

Examples

Angles 1 and 2 are adjacent angles because they share a common side.

adjacent angles examples
4 0
3 years ago
Need help please show ur work
boyakko [2]
Use distributive property
5(4x + 3) - 2x
20x + 15 - 2x
Simplify by liked terms
18x + 15
The solution is A
3 0
3 years ago
Need help with inscribed angles If M
Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and m\angle BCD=30^\circ.

To find:

The m\angle AOB.

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

\angle OBA\cong \angle BCD        [Alternate interior angles]

m\angle OBA=m\angle BCD

m\angle OBA=30^\circ

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

\angle OAB\cong \angle OBA      [Base angles of an isosceles triangle]

m\angle OAB=m\angle OBA

m\angle OAB=30^\circ

In triangle AOB,

m\angle OAB+m\angle OBA+m\angle AOB=180^\circ

30^\circ+30^\circ+m\angle AOB=180^\circ

60^\circ+m\angle AOB=180^\circ

m\angle AOB=180^\circ-60^\circ

m\angle AOB=120^\circ

Therefore, the measure of angle AOB is 120 degrees.

6 0
3 years ago
Mr.Hollins determines that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget?
oee [108]

\frac{800}{x}  = \frac{16\%}{100\%}  \\  \frac{80000}{16}  =  \frac{16x}{16}  \\ 5000 = x
5 0
3 years ago
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