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ruslelena [56]
3 years ago
13

What is the first step in proving that the sum of the measures of triangle XYZ is 180°?

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0

Answer:

To prove that sum of the measures of triangle XYZ is 180°

Out of the four options given

A. Construct a bisector of angle Z

B. Construct a midpoint of segment YZ

C. Construct a line parallel to segment XZ

D. Construct a perpendicular bisector of segment XY

Option C Construct a line parallel to segment XZ  is correct.

Draw a line l passing through vertex Y parallel to XZ. As alternate angles becomes equal, and applying linear pair axiom on point Y and then By substitution you can prove sum of the measures of angles of triangle XYZ is 180°.





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What are the roots of the equation x^2+6x-9=10?
Ronch [10]

Answer:

-3+2sqrt7

-3-2sqrt7

Step-by-step explanation:

x^2+6x-9=10

x^2+6x-9-10=0

x^2+6x-19=0

ax^2+bx+c=0

a=1 b=6 c=-19

As cannot be solved by completing square we will use quadratic equation

x= (-b+sqrt(b^2-4ac))/2a     and      x= (-b-sqrt(b^2-4ac))/2a

x= (-6+sqrt(6^2-4*-19))/2     and      x= (-6-sqrt(6^2-4*-19))/2

x=(-6+sqrt(36+76))/2           and      x=(-6-sqrt(36+76))/2

x=(-6+4sqrt7)/2                   and       x=(-6-4sqrt7)/2

x=(-3+2sqrt7)                       and      x=(-3-2sqrt7)

x=2.29                                 and      x= -8.29

3 0
3 years ago
Easy geometry question about rhombus/measures :))
OLEGan [10]

Answer:

∠1 = 51

∠2= 51

∠3= 39

∠4= 51

3 0
3 years ago
P:-3x + 8x - 5x = x<br><br> q: (3x)(5y) = 15xy<br><br> Which of the following statements is false?
Varvara68 [4.7K]

Answer: Statement p is false.

Step-by-step explanation:

In both cases, we need to isolate the variables:

p: -3*x + 8*x - 5*x = x

   (-3*x - 5*x) + 8*x = x

    -8x + 8*x = x

        0 = x

This will be true only for one value of x, so this is not always true, which means that the statement is false.

q: (3*x)*(5*y) = 15*x*y

let's solve the left side:

  3*x*5*y = 15*x*y

  (3*5)*(x*y) = 15*x*y

   15*x*y = 15*x*y

This is true for every value of x and y, then this statement is true.

5 0
2 years ago
Please help me 5-7g-9=
timofeeve [1]

Answer:

4 - 7g

Step-by-step explanation:

Combine like terms:  5 - 9 - 7g = -4 - 7g (answer)

6 0
3 years ago
{x|x is an odd whole number less than 8}
yawa3891 [41]

Answer:

first x=2

second x=1

Step-by-step explanation:

6 0
3 years ago
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