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Kipish [7]
3 years ago
13

What additional Information needed to prove the triangles are congruent by the SAS Postulate? Angle XWY cong angle ZWY; angle YX

W cong angle YZW; overline WY cong overline XZ; overline WY perp overline XZ
Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

WX = WZ

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove the congruence of the triangles

Congruence by SAS means 1 angle and 2 sides of each triangles are equal.

The mark on angle W means that <XWY = <ZWY--- This represent the A in SAS

Both triangles share line WY.

So, WY = WY

Lastly, to complete the proof, lines WX must equal line WZ

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What is x minus 3 and y plus 4
professor190 [17]

Answer:

3x+4y

Step-by-step explanation:

hope this helps...

7 0
3 years ago
What does SAS stand for? what does it have to do with similar triangles?
Lorico [155]

Answer: SAS stands for side angle side and it means triangles are congruent by having the same side, angle, and side

Explanation: Let's say, two triangles both have the same angle, say 90 degrees. They also share two side lengths. Both triangles have a side length of 9 and another side length of 8.

The two triangles, sharing all these properties, must be congruent. This congruency is proven by SAS.

However, you must not get confused with other ways to prove congruency like ASA (Angle-Side-Angle)

3 0
2 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o
Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

7 0
4 years ago
the tigers won twice as many football games as they lost. they played 96 games. how many games did they win?
alukav5142 [94]
Half of 96 is 48 and they won twice as many as they lost.. how can this math problem be real XD
7 0
3 years ago
X values:−10,−3-, 4, 11
Alex Ar [27]

Answer:

It is neither linear nor exponential.

Step-by-step explanation:

x values: −10,−3, 4, 11

y values: 1, 6, 30, 120

Slope = rate of change

m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{6-1}{-3+10}\\m=\frac{5}{7}

\\m = \frac{y_3-y_2}{x_3-x_2}\\m = \frac{30-6}{4+3}\\m=\frac{24}{7}

Since rate of change is not constant . So, It is not linear

If the average rate of change is constant, then the function is linear.

If the ratio of consecutive outputs is constant, then the function is exponential.

So, \frac{y_2}{y_1}=\frac{6}{1}=5\\\frac{y_3}{y_2}=\frac{30}{6}=6\\\frac{y_4}{y_3}=\frac{120}{30}=4

Since the ratio of consecutive outputs is not constant.

So, It is not exponential

Hence it is neither linear nor exponential.

7 0
4 years ago
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