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Rufina [12.5K]
4 years ago
6

One triangle on a graph has a vertical side of 5 and a horizontal side of 11. Another triangle on a graph has a vertical side of

15 and a horizontal side of 33.
Could the hypotenuses of these two triangles lie along the same line?

Mathematics
1 answer:
Tamiku [17]4 years ago
6 0

Answer:

Yes.

Step-by-step explanation:

The two triangles are <em>similar</em> because they have:

  • a common angle (90°)
  • corresponding sides with lengths in a 3:1 ratio

All you need to do is to slide the smaller triangle into the larger one so that a small angle and one of its sides coincide.

Then the hypotenuses of each triangle will lie along the same line.

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What is the name of this figure?
natulia [17]
Triangular Prism.

Hope this helped :)
6 0
3 years ago
Part 1) A school is selling tickets to a play. Tickets cost $12 at the door and $8.50 if purchased in advance. The school has a
Tems11 [23]

Answer:

  • See below

Step-by-step explanation:

<u>Given:</u>

  • Tickets cost $12 at the door, number of tickets d
  • Tickets cost $8.50 if purchased in advance, number of tickets a
  • Minimum target from tickets sold $1050
<h3>Part 1</h3>

<u>Required inequality to meet the goal:</u>

  • 12d + 8.5a ≥ 1050
<h3>Part 2</h3>

<u>If a = 36 then minimum value of d:</u>

  • 12d + 36*8.5 ≥ 1050
  • 12d + 306 ≥ 1050
  • 12d ≥ 1050 - 306
  • 12d ≥ 744
  • d ≥ 744/12
  • d ≥ 62

Minimum 62 tickets must sell

6 0
3 years ago
14x − 5 − 8x = 1 A) 0 B) 1 C) 3 D) 5
spin [16.1K]
B because 14-5=9 and 9-8= 1
8 0
3 years ago
Shau-uen solve the equation 18.5w+6.5w-2.8w=149.1 Her work is shown below
Ghella [55]
The answer is 

C.- step 3
5 0
3 years ago
Read 2 more answers
Can someone explain?
makkiz [27]

The correct statement regarding the quadratic function is:

K. I, II and III.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

If a > 0, it has a maximum value, and if a < 0, it has a minimum value.

The extreme value is (x_v,y_v), in which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{\Delta}{4a}
  • \Delta = b^2 - 4ac

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In this problem, we have a function h(t). Changing the coefficient c, the h-intercept h(0) changes. Looking at the formulas in the bullet point, the value of \Delta changes, meaning that both the maximum value y_v and the t-intercepts t_1 and t_2 will change, so option K is correct.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

7 0
2 years ago
Read 2 more answers
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