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enyata [817]
3 years ago
6

5. This graph illustrates the solution to which inequality?

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

B. x < 1

Step-by-step explanation:

Note that the point at x=1 shows an empty circle, this denotes "<"

If it were to show a solid circle, then the sign would become "≤"

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Do you have to add both of the bases in a triangular prism to find the volume?​ Someone please help!
choli [55]

Answer:

Yes,you have to add both of the bases in a triangle  prism to find the volume.

Step-by-step explanation:

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6 0
2 years ago
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In the above bridge, line segment BD is the perpendicular bisector of line segment AC. For the bridge to be safe, Triangle ABD i
klasskru [66]

Answer: we can get the sequence of reasons with help of below explanation.

Step-by-step explanation:

Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)

By joining points B with A and B with C ( Construction)

We get two triangles ABD and CBD.

We have to prove that : Δ ABD ≅ Δ CBD

      Statement                                                  Reason

1. AD ≅ DC                                    1. By the property of segment bisector

2. ∠BDA ≅ ∠ BDC                        2. Right angles

3. BD ≅ BD                                   3. Reflexive

4.  Δ ABD ≅ Δ CBD                      4. By SAS postulate of congruence


8 0
3 years ago
Find the slope of the line. y = 5/3x + 4
ioda

Answer:

slope= 5/3

Step-by-step explanation:

y=mx+b

slope=m

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7 0
3 years ago
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This is a proportion. What is the value of X?
Verizon [17]

Answer:

x = 15 or x = - \frac{2}{5}

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - \frac{2}{5}


7 0
2 years ago
The volume of a rectangular prism is given by the formula V = lwh, where / is the length of the prism, w is the width, and his
Vedmedyk [2.9K]
The answer would be option D.
10a^3 + 91a^2 + 54a - 792
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