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Oliga [24]
3 years ago
15

How do I solve for x??

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer: x = 20

Step-by-step explanation:

A right angle adds up to 90 degrees. Therefore, the sum of all the angle values must equal 90

x + 2x + x + 10 = 90

4x + 10 = 90

4x = 80

x = 20

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Which sentence correctly compares the two points shown on the number line? -1 > 0.25 , -1 < -0.25, -0.25 < -1
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Answer:

-1<-0.25

With -1>0.25 you have a negative(-1) and a positive(0.25) the negative will always be less than the positive proving the equation wrong

Moving onto -1<-0.25 this one is a little trickier because they both have a negative so this is where you look at the number line and see which number is closer to 0 and whichever number is is greater meaning this is the correct answer.

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Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?
Archy [21]

Answer:

X=25.98cm

Step-by-step explanation:

From the question we are told that:  

Length of each side l=30cm

Let the triangle be divide by two form a right angle triangle with base angles as 90 \textdegree(angle of perpendicularity) and 60 \textdegree (angle on each vertices of an equilateral triangle)

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Trigonometric Rule

X=30sin60

X=15\sqrt{3}

X=25.98cm

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On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line
Fynjy0 [20]

The coordinates of point r(-8,0).

<h3>What is midpoint formula in coordinate geometry?</h3>

The coordinates of the point r(x,y) which divides the line segment joining the points p(x_{1},y_{1}) and q(x_{2},y_{2}) internally in the ratio :m_{1}m_{2} are

\left(\frac{m_{1}x_{2}+ m_{2}x_{1} }{m_{1}+m_{2}  } ,\frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1}+m_{2}  }\Rifgt)

Given that,

Two end points on the line q(-14,0) and s(2,0). point r(x,y) is the partition of the line segment from q to s in a ratio 3:5

m_{1} = 3 and m_{2} = 5

By using the midpoint formula

\left(\frac{m_{1}x_{2}+ m_{2}x_{1} }{m_{1}+m_{2}  } ,\frac{m_{1}y_{2}+ m_{2}y_{1} }{m_{1}+m_{2}  }\Rifgt)

\left(\frac{3(2)+ 5(-14) }{3+5  } ,\frac{3(0)+ 5(0) }{3+5  }\Rifgt)

\left(\frac{-64}{8  } ,\frac{0 }{8  }\Rifgt)

\left(-8 ,0\Rifgt)

Hence, The coordinates of point r(-8,0).

To learn more about midpoint formula from the given link:

brainly.com/question/4429656

#SPJ4

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