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telo118 [61]
3 years ago
6

Please help with Geometry!! <3

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

∠CAD ≅ ∠ACB

Step-by-step explanation:

The justification states "alternate interior angles theorem."  Alternate interior angles would be inside the parallel lines and on opposite sides of the transversal.  The only pair of angles in our choices that fits this definition is ∠CAD and ∠ACB .

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An experiment involves 17 participants. From these, a group of 3 participants is to be tested under a special condition. How man
lakkis [162]

Answer: 680

Step-by-step explanation:

When order doesn't matter,then the number of combinations of choosing r things out of n = ^nC_r=\dfrac{n!}{r!(n-r)!}

Given: Total participants = 17

From these, a group of 3 participants is to be tested under a special condition.

Number of groups of 3 participants chosen = ^{17}C_3=\dfrac{17!}{3!(17-3)!}\

^{17}C_3=\dfrac{17!}{3!(17-3)!}\\\\=\dfrac{17\times16\times15\times14!}{3\times2\times14!}\\\\=680

Hence, there are 680 groups of 3 participants can  be chosen,.

8 0
4 years ago
What is the value of X?<br><br> What is the value of Y?<br><br> What is the value of Z?
baherus [9]

Answer:

The answer is

x = 12 \\ y = 20 \\ z = 15

Step-by-step explanation:

By using Pythagoras low

Then we can find that

{y}^{2}  =  {x}^{2}  +  {16}^{2}  \\  {z}^{2}  =  {x}^{2}   +  {9}^{2} \\  {y}^{2}   +  {z}^{2}  =  {25}^{2} \\  then \\  {x}^{2}  +  {9}^{2}  +  {x}^{2}  +  {16}^{2}  =  {25}^{2}  \\ 2 {x}^{2}  = 288 \\ x = 12 \\ By  \: substituting \:  x \:  into  \: the  \: previous \:  equations \\ then \:  \\ y = 20 \\ z = 15

7 0
3 years ago
Read 2 more answers
6/7 Find the slope of the line.
Feliz [49]
The slope, if you have a graph, is the angle the line is going down so look at this graph:
6 0
3 years ago
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The burj khalifa a building in dubai united arab emirates is about 828 meters tall
almond37 [142]
The Burj Khalifa, a building in Dubai, United Arab Emirates, is about 828 meters tall. Brody is making a scale model of this building, using the scale 500 meters : 1 meter.
6 0
3 years ago
Find the length of<br> __<br> JK<br> Round answer to nearest tenth.
PIT_PIT [208]

Answer:

Step-by-step explanation:

We would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

JK² = JL² + KL² - 2(JL × KL)Cos10

JK² = 61² + 53² - 2(61 × 53)Cos10

JK² = 3721 + 2809 - 6466Cos10

JK² = 6530 - 6367.767

JK² = 162.233

Taking square root of both sides of the equation, it becomes

JK = √162.233

JK = 12.73 to the nearest tenth

6 0
3 years ago
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