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MatroZZZ [7]
3 years ago
11

Below is a two-column proof incorrectly proving that the three angles of ?PQR sum to 180: Statements Reasons ?QRY ? ?PQRAlternat

e Interior Angles Theorem Draw line ZY parallel to segment PQ Construction m?ZRP + m?PRQ + m?QRY = m?ZRY Angle Addition Postulate ?ZRP ? ?RPQ Alternate Interior Angles Theorem m?RPQ + m?PRQ + m?PQR = m?ZRY Substitution m?ZRY = 180 Definition of a Straight Angle m?RPQ + m?PRQ + m?PQR = 180 Substitution Which statement will accurately correct the two-column proof?
A.) The measure of angle ZRY equals 180 by definition of supplementary angles.

B.) Angles QRY and PQR should be proven congruent after the construction of line ZY.

C.) The three angles of ?PQR equal 180 according to the Transitive Property of Equality.

D.) Line ZY should be drawn parallel to segment QR.
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

The correct answer would be b, angles QRY and PQR should be proven congruent after the construction

Step-by-step explanation:

I took the test and got it right by choosing b

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What is the scale factor of this dilation?
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8 0
3 years ago
One year Terry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitch
Colt1911 [192]

Answer:

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​

Terry had a better year because he had a lower Era and he was a better pitcher.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

any male pitcher at his​ school,

For Thomas:

z = (x-μ)/σ

x = 2.85 μ = 4.893 σ = 0.949.

z = 2.85 - 4.893/0.949

z = -2.15279

For Karla

z = (x-μ)/σ

x = 2.95 μ = 4.348 σ = 0.997.

z = (2.95 - 4.348) /0

z = -1.40221

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Terry had a better year because he had a lower Era and he was a better pitcher.

5 0
3 years ago
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut
Inessa05 [86]

The equation is 0.1x + 0.15(50-x)=1.20(50)

Step-by-step explanation:

Here you need 50ml of 12% alcohol solution.

You have 10% and 15% alcohol solutions.

Take volume of 10% alcohol solution to be x ml

Take volume of 15% alcohol solution to be y ml

Form equations;

x+y=50 ml--------------------------equation 1

0.1x +0.15 y= 12% of 50

0.1x+0.15y=6-----------------------equation 2

Now you have simultaneous equations, use a graph tool to solve for values of x and y as attached.

or use the mixture equation the get value of x

0.1x + 0.15(50-x)=1.20(50)

The values of x and y are ;

(x,y) (30,20) which means;

y is 20 ml of 15% alcohol

x is 30 ml of 10% alcohol

Learn More

  • brainly.com/question/2405496

Keywords : concentration, mixture

#LearnwithBrainly

5 0
3 years ago
1<br> Find the value of the variables.<br> b<br> 30°<br> a<br> 12<br> 60°<br> a-<br> b =
Andrew [12]

Answer:

a=6

b=10.39

Step-by-step explanation:

a=sin 30x12 or a=cos60x12

a=6

b=cos 30x12 or b=sin60x12

b=10.39

4 0
3 years ago
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