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Mamont248 [21]
3 years ago
13

Two triangles have side lengths 3,4,5 and 6,____10, respectively. The triangles are similar to each other.

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

8

Step-by-step explanation:

3,4,5 and 6,_,10 are similar. what do you notice between the two? 6 is twice of 3. 10 is twice of 5. so then 4 would be half of 8.

hope i helped ;)

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Which pair of words describes this system of equations 3y=9x-6 2y+6x=4
pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

3y = 9x - 6

2y + 6x = 4

Required

The words that describe the equations

Make y the subject in (2)

2y + 6x = 4

Collect like terms

2y = 4 - 6x

Divide through by 2

y = 2 - 3x

Substitute: y = 2 - 3x in (1)

3y = 9x - 6

3(2 - 3x) = 9x - 6

6 - 9x = 9x - 6

Collect like terms

9x+9x = 6+6

18x = 12

Solve for x

x = \frac{12}{18}

Simplify

x = \frac{2}{3}

Substitute x = \frac{2}{3} in y = 2 - 3x

y = 2 - 3*\frac{2}{3}

y = 2 - 2

y =0

So, we have:

x = \frac{2}{3} and y =0

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

6 0
3 years ago
When the outliers are removed, how does the mean change? (2 points)
quester [9]

Answer:

Option 3: mean increases by 3

Step-by-step explanation:

Current mean:

[50+76+78+2(79)+80+81+2(82)+83] ÷ 10

= 77

Without the outliers:

[76+78+2(79)+80+81+2(82)+83] ÷ 9

= 80

80 - 77 = 3 (increase)

5 0
3 years ago
How many solutions does the equation 3(x+7)=20+3x+1 have?
Gala2k [10]
C. Infinitely many of solutions
5 0
3 years ago
I have a 53 3/4 foot of rope. How many 4ft ropes can I make?
erma4kov [3.2K]
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To find out how many 4ft ropes you can make divide 53.75 by 4

53.75/4=13.4375

You can make 13 4ft ropes out of a 53.75ft rope
4 0
3 years ago
2. Sketch the graph: 4y – 3x = 12.​
goblinko [34]

Answer:

  see below

Step-by-step explanation:

A graphing calculator is useful for this.

__

To find the x-intercept, set y=0 and solve for x:

  0 -3x = 12

  x = -4 . . . . . . divide by -3

To find the y-intercept, set x=0 and solve for y:

  4y - 0 = 12

  y = 3 . . . . . . divide by 4

Plot the x- and y-intercepts on their respective axes and draw a line through them.

4 0
3 years ago
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