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3 years ago

Solve the inequality for x. Show each step of the solution. 12x>3(2x+4)-15

Mathematics

1 answer:

Leto [7]3 years ago

5 0

Answer:

x<-2

Step-by-step explanation:

12x>6x+12-15 (first distribute)

12x>6x-3 (simplify)

6x>-3 (put like terms on one side by subtraction)

x<-2 (divide and switch inequality sign since you divided by a negative)

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3 years ago

1 and 5/7 x 1/6 simplify

konstantin123 [22]

Answer:

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2 years ago

What is the solution set of |-x|=-10?

Airida [17]

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3 years ago

Find the measure of angle BCD in the following parallelogram. what's does BCD equal

DiKsa [7]

Answer:

120 degrees

Step-by-step explanation:

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

6x = 360

x = 360/6 = 60

<BCD = 2x = 2 * 60 = 120

Thus, the answer is 120 degrees.

Hope this helps!

4 0

3 years ago

How do I find each measure? Please I need answers ASAP it's due at 1:50

Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

$\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}$

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

$\begin{gathered} 44+y=180\text{ (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}$

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

$\begin{gathered} 136+z+z=180_{}\text{ (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}$

So measure of angle ABC is 22 degrees.

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1 year ago