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NARA [144]
2 years ago
15

Analyze the diagram below and answer the question that follows. If 2004-02-01-02-00_files/, what is 2004-02-01-02-00_files/? A.

2004-02-01-02-00_files/ B. 2004-02-01-02-00_files/ C. 2004-02-01-02-00_files/ D. 2004-02-01-02-00_files/
Mathematics
1 answer:
nadya68 [22]2 years ago
5 0

Option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively. This can be obtained by knowing what similar triangles are and finding which sides are proportional.

<h3>Find the correct option:</h3>

Similar triangles: If two triangles have proportional sides the are similar.

For example, if ΔABC and ΔDEF are similar then

\frac{AB}{DE}= \frac{BC}{EF} =\frac{AC}{DF}

∠ABC = ∠DEF and ∠ACB = ∠DFE

Then we can write that, ΔABC ~ ΔDEF

Here in this question,

Since A, Y, Z are midpoints of sides XW, VW, XV

XA = AW

WY = VY

XZ = VZ

To consider sides AY and XV we should take triangles ΔWAY and ΔWXV

\frac{WX}{WA} =\frac{2WA}{WA} = 2  (since A is the midpoint of WX)

\frac{WV}{WY} =\frac{2WY}{WY} = 2  (since Y is the midpoint of WV)  

∠AWY = ∠XWV (reflexive property)

Therefore ΔWAY and ΔWXV are similar triangles

\frac{WX}{WA}= \frac{XV}{AY} =\frac{WV}{WY} = 2

∠WAY = ∠WXV and ∠AYW = ∠XVW

Hence,

AY || XV option A AY || XV given that A, Y, Z are midpoints of sides XW, VW, XV respectively.

 

Learn more about similar triangle here:

brainly.com/question/25882965

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.  

Question: Analyze the diagram below and answer the question that follows. If Z, Y and A are midpoints of ΔVWX what is true about AY and XY?

A. AY || XV

B. 1/2 AY = XV

C. AY = XV

D. AY ≅ XV

 

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The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1
scoundrel [369]

Answer:

40

Step-by-step explanation:

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .

Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:

n α t

=> n = kt

where k = constant of proportionality

She can make 4 baskets in every 1/2 hour.

This means that:

4 = k * 1/2

=> k = 4 * 2 = 8 baskets per hour

The time is now 5 hours (t = 5). Therefore:

n = 8 * 5 = 40 baskets

She can make 40 baskets in 5 hours.

8 0
3 years ago
Numbers divisible by 100 are divisible by 5.
Reptile [31]

The additional true statement that would need to be given in order to state the conclusion using the law of detachment is 49,700 is divisible by 100.

<h3 /><h3>What is law of detachment?</h3>

Law of detachment states that if a facts is true and its hypothesis is true, then its conclusion is true.

For instance,

Statement A: If there's an increase in Mr Charles salary.

Statement B: Mr Charles buys bicycle for his son.

This means Mr Charles buying bicycle for his son is true because of the increase in income.

Learn more about law of detachment:

brainly.com/question/13966470

#SPJ1

8 0
2 years ago
Which expression has a value of 1/36?
Schach [20]
(1/36) = 0.0277777777778

(1/108)^3 = 7.9383224102<span> x 10^-7 </span>
(1/9)^4 = 0.000152415790276
(1/6)^2 = 0.0277777777778
(1/2)^5 =  <span>0.03125

The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is C. (1/6)^2
</span>




6 0
3 years ago
Read 2 more answers
41 lb =<br>oz<br>B 656<br>C 2<br>D 820​
11111nata11111 [884]

Answer:

B 656oz

Step-by-step explanation:

8 0
3 years ago
Suppose a triangle has 2 sides of length 3 and 4 and that the angle between these two sides is 60 degrees. what is the length of
shusha [124]

Answer:

\boxed{b.\:\:\:\sqrt{13}}

Step-by-step explanation:

Let the third side of the triangle be h\: units.


We can apply the cosine rule to find h.


h^2=3^2+4^2-2(3)(4)\cos(60\degree)

We evaluate to obtain;

\Rightarrow h^2=9+16-24(\frac{1}{2})


\Rightarrow h^2=25-12


\Rightarrow h^2=13

We take the positive square root of both sides to obtain;

\Rightarrow h=\sqrt{13}


The correct answer is B.

8 0
3 years ago
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