Mathematics, 03.10.2020 01:01 jack6563

Help.? please, i dont understand.

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Answer from: LexyV1242

Step-by-step explanation:

Given

- 3x + 12 ≤ 15 ( subtract 12 from both sides )

- 3x ≤ 3

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≥ - 1

Since x can equal - 1, we are looking for a solid circle at x = - 1 on the number line.

Since x greater than - 1 we require the shaded arrow to be pointing right.

Graph B represents this

Answer from: hawszanderpelv2v

Choice B

Filled in circle at -1; shading to the right

===================================================

Explanation:

Let's isolate x

$-3x+12 \le 15\\\\-3x+12-12 \le 15-12\\\\-3x \le 3\\\\\frac{-3x}{-3} \ge \frac{3}{-3} \ \text{ note the inequality sign flip}\\\\x \ge -1\\\\$

We solve this as if this was an equation, though the inequality sign flips when we divide both sides by a negative value (in the second to last step).

To isolate x, we undo the order of operations PEMDAS. So we first undo the "+12" by subtracting 12 from both sides (step 2). After that we undo the multiplication by dividing both sides by -3.

The graph of $x \ge -1$ will have a closed or filled in circle at -1, and shading to the right. This visually represents the solution set "x is -1 or larger". The reason why we have a filled in circle is to include the endpoint due to the "or equal to" as part of the inequality sign.

Answer from: Quest

right

step-by-step explanation:

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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