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antiseptic1488 [7]
3 years ago
14

Which answer correctly describes the relationship between two of the lines in the figure?

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0
A is perpendicular to c<span />
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A right rectangular prism is filled to capacity with 152 cubes, each with 12 -inch long edges. What is the volume of the prism?
telo118 [61]
The is Answer 204 inches
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3 years ago
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I need help with coming up with equation
Natali5045456 [20]

Let's call a child's ticket c and an adult's ticket a. From this, we can say:

c + a = 116,

since 116 tickets are sold in total.


Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750.


Given these values, we can say:

17000a + 12750c = 1653250,

since each adult ticket a costs 17,000 and each child's ticket c costs 12,750, and these costs sum to 1,653,250.


Now, we have two equations:

17000a + 12750c = 1653250

c + a = 116


Let's solve:

17000a + 12750c = 1653250

a = 116 - c

  • Find a on its own, which will allow us to substitute it into the first equation

17000(116 - c) + 12750a = 1653250

  • Substitute in 116 - c for a

1972000 - 17000c + 12750c = 1653250

  • Apply the Distributive Property

1972000 - 4250c = 1653250

  • Combine like terms

4250c = 318750

  • Subtract 1972000 from both sides of the equation and multiply both sides by -1

c = 75


We have now found that 75 child's tickets were sold. Thus,

75 + a = 116 \Rightarrow a = 116 - 75 = 41,

41 adult tickets were sold as well.


In sum, 41 adult tickets were sold along with 75 child tickets.

6 0
3 years ago
Can someone help me with 4-6 plz
satela [25.4K]

Step-by-step explanation:

4. To use SSS, you need three pairs of congruent sides.  You're given two pairs of congruent sides, so the additional information needed is WY ≅ KM.

5. To use ASA, you need a pair of congruent sides between two pairs of congruent angles.  You're given one pair of congruent angles, and since the triangles share a common side, we know BC ≅ BC.  So the additional information needed is ∠WBC ≅ ∠ACB.

6. To use SAS, you need a pair of congruent angles between two pairs of congruent sides.  You're given two pairs of congruent sides, so the additional information needed is ∠I ≅ ∠F.

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3 years ago
Tan (angle B) using an exact expression in trigonometric ratios in right triangles
goblinko [34]
The value of the tangent of an angle is the ratio (opposite side) / (adjacent side).

Here you see that the opposite side (opposite to Angle B) is of length 5 and the adj. side has length 12.

Thus, the tan of Angle B is 5/12.  (answer)

4 0
3 years ago
Pls help I’m on my last attempt to answer this question. This is geometry
Harman [31]

Answer:

the answer to this question would be RT=16 Please mark brainliest!

5 0
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