Which inequality represents the graph below?

Mathematics

1 answer:

telo118 [61]1 year ago

7 0

Answer:

The answer is B

the shaded part is below which signifies a less than sign

so you can cross out options A and C

now make y=0

for option B, it will give √Xless than or equal to √4

for option D, it will give √4 less than or equal to √x

to bring √x to the other side, the inequality sign will change to greater than

Therefore the answer is B

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Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25

Vinil7 [7]

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

4 0

1 year ago

Work out the size of angle X.

larisa [96]

Answer:

x = 70°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

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