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Temka [501]
3 years ago
5

Which graph shows the solution to the following inequality? 4d-6<18

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
8 0

Answer: C

<u>Step-by-step explanation:</u>

4d - 6 < 18

<u>      +6</u>   <u>+6 </u>

4d      < 24

    \frac{4d}{4} < \frac{24}{4}

       d < 6

Graph: ←----------------o 6

Bess [88]3 years ago
4 0

Answer:

option (c) is correct.

d < 6

On number line this is shown as attached below.

Step-by-step explanation:

Given inequality 4d - 6 < 18

We have to plot the inequality and check out of given graph which graph satisfies the Given inequality 4d - 6 < 18

Consider the given inequality 4d - 6 < 18

Add 6 both sides, we have,

4d - 6 + 6 < 18 + 6

Simplify we get,

4d < 24

Now, divide both side by 4, we have,

\frac{4d}{4}

Simplify , we have,

d < 6

On number line this is shown as attached below.

Thus, option (c) is correct.

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My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
Verdich [7]

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

  • PCS is a right triangle
  • PDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the <u>measures of the corresponding sides must be the same.</u>

<u />

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

8 0
2 years ago
What are the characteristics of a quadrilateral?
gregori [183]

Answer:

Most known one: 4 sides

Step-by-step explanation:

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8 0
2 years ago
Put 19/22 into a percentage​
ahrayia [7]
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3 0
3 years ago
Read 2 more answers
4x + 3y = 16<br> 7x+6y=31<br> O A. (1,3)<br> B. (1.4)<br> C. (4,0)<br> OD. (4,3)<br> SUBMIT
klasskru [66]

Answer:

B

Step-by-step explanation:

Given the 2 equations

4x + 3y = 16 → (1)

7x + 6y = 31 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the term in y

- 8x - 6y = - 32 → (3)

Add (2) and (3) term by term

- x = - 1 ( multiply both sides by - 1 )

x = 1

Substitute x = 1 in either of the 2 equations and solve for y

Substituting in (1)

4(1) + 3y = 16

4 + 3y = 16 ( subtract 4 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is (1, 4 ) → B

4 0
3 years ago
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Tom [10]
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