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ruslelena [56]
4 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]4 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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Find the amount of degrees in x, if the three angles of a triangle are 2x, 2x, and 32 degrees.
Phoenix [80]

Answer: 2x=74

Step-by-step explanation:

Every triangle is 180 degrees.

so you will take 180-32= 148

then with that you will add up the x's and there are 4...

so then you will take 148/4 and get the answer of...

148/4=37

x=37

but it asked for 2x

37*2

2x=74

final answer is 74

3 0
3 years ago
Find the -scores that bound the middle 96 of the area under the standard normal curve by using the TI-84 calculator.
Korvikt [17]

Answer:

\alpha=1-0.96 =0.04

And \alpha/2= 0.02 and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

z_{\alpha/2}= \pm 2.054

Step-by-step explanation:

For this case we want to find the limits with the middle 96% of the area below the normal curve, then the significance level would be:

\alpha=1-0.96 =0.04

And \alpha/2= 0.02 and if we use the following function on the Ti84 plus we got:

invNorm(0.02,0,1)

invNorm(1-0.02,0,1)

And the values with the middle 96% of the values are:

z_{\alpha/2}= \pm 2.054

6 0
3 years ago
Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y=−13x+4.
lilavasa [31]

Answer:

y = -13x + 55

Step-by-step explanation:

perpendicular formula : m1 × m2 = -1

y = -13x + 4

now we take the grafient of the equation which is 13 :

m × 13 = -1

m = -13

so now we hv a new gradient then we can find the equation use the formula y = mx + c :

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sub them into the formula,

3 = -13 (4) + c

3 = -52 + c

3 + 52 = c

55 = c

c = 55

now we rewrite again the c and the m to become a complete equation : y = -13x + 55

5 0
3 years ago
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sattari [20]

Answer:2.4

Step-by-step explanation:

12 * 20% = 12 * 0.20 = 2.4 hours

It will not last the entire shift.

7 0
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Melinda spends $5 at each of the 14<br> stores she visits. How much money did she spend ?
Paha777 [63]

Answer:

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Step-by-step explanation:

5 dollars * 14 stores= $70

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