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2 years ago

Help!!! WITH Solve each inequality and graph the solution on the number line.

Mathematics

1 answer:

Alchen [17]2 years ago

7 0

w - 7 > - 4 To solve the inequality, you need to get the variable (w) by itself, to do so, you add 7 on both sides of the inequality

w - 7 + 7 > -4 + 7

w > 3 [w is a number greater than 3]

(If you are using an open circle and closed circle, otherwise you can skip)

When the sign is < or >, you have an open circle "o"

When the sign is ≤ or ≥ (less/greater than or equal to), you have a closed circle

Make an open circle on the number 3, then make an arrow pointing to the right because w is greater than 3.

If you don't have to do the open/closed circle, just make a dot on the number 3 and make an arrow pointing/going to the right

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If k is parallel to l find the value of a and the value of b.

kipiarov [429]

Answer:

a = 30

b = 40

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3

Cross multiply

3a = 2(a + 15) Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

3 0

3 years ago

If g(x)= 3x-1 solve for x when g(x)=-20.

Nadya [2.5K]

Good evening

Answer:

$x=\frac{-19}{3}$

Step-by-step explanation:

g(x) = -20

⇔

3x-1 = -20

⇔

3x = -20 + 1

⇔

3x = -19

⇔

x = -19/3

____________________

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3 years ago

Match each set of vertices with the type of quadrilateral they form.

Serjik [45]

Only correct the first one.

Please, see the graph in the attached file.

1) a rectangle with    A(3,3), B(3,6),
noncongruent ←→ C(7,6), D(7,3)
adjacent sides
(in green)

2) a parallelogram
with A(2,0), B(3,2)
nonperpendicular ←→ C(6,3), D(5,1)
adjacent sides
(in blue)

3) a square ←→ A(3,3), B(2,5),
(in red) C(4,6), D(5,4)

4) a rhombus with       A(2,-2), B(3,0),
nonperpendicular    ←→ C(4,-2), D(3,-4)
adjacent sides
(in black)

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3 years ago

A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?

Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.

Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°

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3 years ago

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When the following quadratic equation is written in general form, what is the value of "c"?

Artyom0805 [142]

It will be negative 2,cause your equation is already in general form but we can't have a negative on a, so we should changed it on their opposite sign, so 2 will be negative

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3 years ago

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Help!!! WITH Solve each inequality and graph the solution on the number line. ​

Help!!! WITH Solve each inequality and graph the solution on the number line.