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3 years ago

Which inequality is represented by this graph? Also, if someone could tell me how this works that would be great :D

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer:

y > -1/6 x+1

Step-by-step explanation:

The graph line is dotted. Dotted lines means greater than or less than. ( <, >)

Solid lines means less than or equal to or greater than or equal to (≤,≥)

Since the graph is shaded above the line, that means y is greater than the line. If it were shaded below the line, y would be less than.

y > -1/6 x+1

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Solve this! y- 5 = -12

vazorg [7]

The answer is -7 have a great day!

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2 years ago

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What is the measure of angle 7?

gladu [14]

Answer: 95°

Step-by-step explanation: We are given information for Angles 1 and 4, which happen to be vertical angles, meaning they are congruent. Because of this, we can say 3x+10=4x-15, therefore x=25. Angles 1,2,3 and 4 must add up to 360°, and since we know angles 1 and 4 are 85° (3*25 + 10 = 85), we can find angles 2 and 3. 360° - 85° - 85° = Angle 2 + Angle 3. Angle 2 + Angle 3 = 190, and because Angles 2 and 3 are vertical angles and therefore congruent, we can divide 190 by 2 and get that Angles 2 and 3 equal 95°. Because lines b and c are parallel, any corresponding angles created by a transversal are congruent. This basically means Angles 3 and 7 must be congruent, therefore Angle 7 = 95°

Congruent - same meaning as equal

Vertical Angles - each of the pairs of opposite angles made by two intersecting lines.

6 0

3 years ago

Solve x – 7 > –8.

IgorC [24]

Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.

Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = $\sqrt{Area}$

For Tile A, the length will be:

$Length= \sqrt{9}=3$
So length is a Rational number

For Tile B, the length will be:

$Length= \sqrt{25}=5$
So length is a Rational number

For Tile C, the length will be:

$Length= \sqrt{34}$
So, Length is not Rational.

For Tile D, the length will be:

$Length= \sqrt{76}$
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option

8 0

3 years ago

Find the value of x in the triangle.<br> to<br> to

gizmo_the_mogwai [7]

Answer:

45 and 45

Step-by-step explanation:

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3 years ago

If y varies directly as x and y-21 when x<br> is 7, find x when y = -5.

klasskru [66]

Step-by-step explanation:

Since, y varies directly as x:

$\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k = \frac{21}{7} = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \: \: y = - 5 \: in \: (2)\\ - 5 = 3x \\ x = \frac{ - 5}{3} \\ \: \: \: \: \: \: \huge \red{ \boxed{x = - \frac{5}{3} }}$

6 0

2 years ago

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