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aniked [119]
3 years ago
11

Can someone please help me

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

20

Step-by-step explanation:

If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

\dfrac{10}{6}=\dfrac{25}{15}=\dfrac{x}{12}

Let's use the second ratio:

\dfrac{25}{15}=\dfrac{x}{12}

Multiply both sides by 12:

\dfrac{25\cdot 12}{15}=x \\\\x=20

Hope this helps!

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Y&gt;-3x +3<br> y≥ 2x-2<br> O (1,0)<br> O (-1,1)<br> O(2,2)<br> (0,3)
Ainat [17]

Answer:

(1,0)

Step-by-step explanation:

y>-3x +3

y≥ 2x-2

If we plot these two inequalities, we can see where the lines intersect,  See attached graph.

They intersect at (1,0)

We can also do this mathematically:

  y>-3x +3

<u>- (y≥ 2x-2)</u>

0 \geq -5x + 5

5x \geq 5

x \geq 1

If x = 1:

y≥ 2x-2

y≥ 2(1)-2

y≥ 0

(x,y) = (1,0)

3 0
2 years ago
Find the co-ordinates of the vertex of the function y=x²-12x+2 and show your work
nataly862011 [7]

Answer:

(6,-34)

Step-by-step explanation:

You can use the vertex formula to find the x of the vertex and then plugin the x value into the formula to find the y value.

x = -\frac{b}{2a}

x = -\frac{b}{2a}

x = -\frac{-12}{2(1)}

x = 6}

Now plugin 6 into  y=x²-12x+2

y=x²-12x+2

y=6²-12(6)+2

y=36-72+2

y=36-72+2

y = -34

Vertex = (6,-34)




6 0
3 years ago
Read 2 more answers
Jonathan collects postcards and stamps. The number of postcards in his collection is 12 more than 3/4 the number of stamps. He h
zimovet [89]

For this case we define the following variable:

  • <em>x: number of stamps </em>

We now write the equation that models the problem:

\frac {3} {4} x + 12 = 39

From here, we clear the value of x.

We have then:

\frac {3} {4} x = 39-12\\\frac {3} {4} x = 27\\x = (\frac {4} {3}) (27)\\x = (4) (9)\\x = 36

Answer:

The number of stamps he has is:

x = 36

7 0
3 years ago
Read 2 more answers
What are factors of 42 that subtract to -8
MrRa [10]

You might have to do the quadratic formula

8 0
4 years ago
What is p divided by 6 as an algebraic expression
devlian [24]

As you probably know, the term <em>divided </em>designates to the mathematical operation division. So, to express such expression, simply divide p by 6:

p/6

3 0
3 years ago
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