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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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An Air Force plane flew to the
Free_Kalibri [48]

Answer:

5 hours

Step-by-step explanation:

Time taken for trip : t + 1

Time taken for return : t

Avg. speed (trip) : 256 km/h

Avg. speed (return) : 320 km/h

The distances covered on both trips are equal.

⇒ Distance (trip) = Distance (return)

⇒ Speed (trip) × time (trip) = Speed (return) × time (return)

⇒ (256)(t + 1) = (320)(t)

⇒ 256t + 256 = 320t

⇒ 64t = 256

⇒ t = 4 hours

<u>Time (trip)</u> = t + 1 = 4 + 1 = 5 hours

4 0
2 years ago
Amlyah increased her bench press
NikAS [45]
<h3>Answer:  20% increase</h3>

======================================================

Explanation:

A = old value = 110

B = new value = 132

C = percent change

C = 100*(B-A)/A

C = 100*(132-110)/110

C = 20%

The positive C value means we have a percent increase, which corresponds to the fact that A = 110 increases to B = 132.

The B-A = 132-110 = 22 portion up top indicates that the increase is 22 pounds, which when divided over 110, gets us 22/110 = 0.20 = 20%

---------------

Checking the answer:

20% of 110 = 0.20*110 = 22

She's able to lift 22 extra pounds on top of the 110 pounds she can handle previously, so she can now lift 110+22 = 132 pounds. The answer is confirmed.

7 0
3 years ago
Read 2 more answers
Whoever checks my work and tell what I did wrong and the right answer will
gulaghasi [49]

Answer:

See below

Step-by-step explanation:

I believe that you only had to do letters F, H, and J. In that case, let's go over each one!

F: For isolatingd_{1}, we need to get rid of the 1/2 first. Let's multiply each side by 2:

2*m = 2*\frac{1}{2}(d_{1}+  d_{2}) \\2m = d_{1}+  d_{2}

After this, we just subtract d_{2} from each side to get d_{1}=2m- d_{2}. Dark Blue is correct! Let's now plug in those numbers below:

d_{1}=2(10)- 13 = 20-13=7

G: Let's isolate the vw^2 on one side by subtracting y from each side:

vw^{2} +y-y=x-y\\vw^{2}=x-y

Let's now divide each side by v, then put each side under a square root to get our final answer:

\frac{vw^2}{v} = \frac{x-y}{v}\\  w^2 =  \frac{x-y}{v}\\\sqrt{w^2} = \sqrt{\frac{x-y}{v}} \\w=\sqrt{\frac{x-y}{v}}

Orange is correct! Again, let's solve the problem underneath:

w=w=\sqrt{\frac{38-(-7)}{5}} = \sqrt{\frac{38+7}{5}} = \sqrt{\frac{45}{5}}=\sqrt{9}=3

H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.

2a-2a+3c=17a-2a+21\\3c = 15a+21\\\frac{3c}{3} = \frac{15a+21}{3}\\c = \frac{15a}{3}+ \frac{21}{3} \\c = 5a+7

Purple is correct! Let's solve the problem:

c = 5(\frac{16}{5})+7 = 16+7 = 23

7 0
3 years ago
Which table represents the same relation as the set StartSet (negative 6, 4), (negative 4, 0), (negative 3, 2), (negative 1, 2)
g100num [7]
Negative 4,0 because I know it
5 0
3 years ago
Read 2 more answers
1.4t - 0.4 (t- 3.1) =5.8
GenaCL600 [577]
1 Expand
1.4t-0.4t+1.24=5.8

2 Simplify 1.4t-0.4t+1.241.4t−0.4t+1.24 to t+1.24t+1.24
t+1.24=5.8

3 Subtract 1.241.24 from both sides
t=5.8−1.24

4 Simplify 5.8-1.245.8−1.24 to 4.564.56
t=4.56
7 0
4 years ago
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