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PIT_PIT [208]
3 years ago
10

Given that ABC ~ DEF, if EF = 7.5 what is the length of ? 6.5 6 5 5.5

Mathematics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

5

Step-by-step explanation:

The triangles have a 2:3 ratio given by the heights of the triangles. We can assume the sides of the triangles must always form a 2:3 ratio with the sides. 5:7.5 forms 2:3 ratio if you divide 5/7.5. This equals .67, just as 2/3 does.

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I don’t get this one but the question was something about finding the equation.
Alina [70]

9514 1404 393

Answer:

  y = -(x -3)^2 +2

Step-by-step explanation:

The vertex form of the equation for a parabola is ...

  y = a(x -h)^2 +k

where the vertex is (h, k) and the value 'a' is a vertical scale factor.

The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.

Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...

  y = -(x -3)^2 +2

4 0
3 years ago
in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi
hammer [34]
Area of circle = \frac{ \theta }{360^o}  \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o}  \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.
3 0
3 years ago
A recipe called for 5/9 cup of chopped lettuce and 5/6 cup of diced lettuce. In total, how many cups of lettuce did the recipe c
77julia77 [94]

Answer:

1 7/18

Step-by-step explanation:

5/9 + 5/6  write all numerators above the least common denominator which is 18.  

10+15/18  then you add the numerators which will make it 25/18 which alternative form will be 1 7/18, or in decimal 1.38


3 0
3 years ago
8+2(5 - x) = <br> Need help
nikdorinn [45]
We can distribute
2(5)+2(-x)=10-2x

we get
8+10-2x=?
18-2x=?

whatever that ? is, we don't know
multiply both sides by -1
2x-18=-?
add 18 to both sides
2x=18-?
divide bth sides by 2
x=9-(?/2)
whatever the left side  it, just divide it by 2 and subtract it from 9
7 0
3 years ago
-2
zloy xaker [14]

Answer is

2

gradient=change in y/change in X

(10--2)/(4--2)=2

7 0
3 years ago
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