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Ray Of Light [21]
3 years ago
10

42. Calculate the value of c in the triangle below.

Mathematics
1 answer:
Verdich [7]3 years ago
5 0
A^2+b^2=c^2
9^2+40^2=c^2
81+1600=1681
Square it and u get 41
so c is 41
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How do you do this problems?
rewona [7]

x = 6

Step-by-step explanation:

It's based on similarity of triangles

DEF ~ △XYZ

\implies \mathsf{ \frac{DE }{ XY } =  \frac{EF}{YZ} =  \frac{ FD}{ZX}}

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.

I'm using \mathsf{ \frac{DE }{XY } =  \frac{EF}{YZ} }to get the value of x.

[You can use any two fractions out of the three given above. ]

\implies \mathsf{ \frac{10}{x - 1} =  \frac{8}{4}  }

\implies \mathsf{ \frac{10}{x - 1} =  2  }

\implies \mathsf{ 10 =  2 (x - 1) }

\implies \mathsf{ 10 =  2 x - 2 }

\implies \mathsf{ 10  + 2=  2 x  }

\implies \mathsf{ 1 2=  2 x  }

\implies \mathsf{ x = 6 }

Hence, the value of x is 6.

5 0
3 years ago
Two schools had a track and field competition. One school took 3,784 students. The other school
kati45 [8]

Answer:

4527

Step-by-step explanation:

total amount students = 4527+1641

=6168

amount of students who did not win a medal = total - amount who won a medal

= 6168-1641

=4527

3 0
4 years ago
Please show steps on how to solve <br> log7 -2b-9=-6
NeTakaya

Answer: b= - -log10(7)+3/2

Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)

so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)

Simplify -2b= -log10(7)+3

Divide both sides by -2  -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!

6 0
4 years ago
Calculate the equation of a straight line which x-intercept is = - 2 and y-intercept = 2
VikaD [51]

Answer:

y=-2x+2

Step-by-step explanation:

it has a positive slope

the line should point like this on the graph: picture above

7 0
2 years ago
How to Graph −12x+18y=34.
andriy [413]

You can graph this two ways. You can change it into slope intercept form, y=mx+b, or find the x- and y-intercepts. To change it to slope intercept form you would need to add 12x to both sides and divide both sides by 18. By doing this, you'd get y=2/3x+17/9. You'd then go up on the y-axis to 17/9 or 1.89 and place a point. You'd then go up two and to the right three and place another point. You can do this one more time and connect the points. To find the x- and y- intercepts you would plug 0 in for x and solve for y, getting 17/9, and plug 0 in for y and solve for x, getting -17/6. You'd then plot the points (-17/6, 0) and (17/9) and connect the points forming a line.

8 0
4 years ago
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