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3 years ago

The graph below shows the air temperature over a 10 hour period from noon until 10 PM which is true based on the graph?

Mathematics

2 answers:

Sav [38]3 years ago

7 0

B. the temperature change between noon and 6 PM is the same as the temperature change between 8 PM and 10 PM.

Usimov [2.4K]3 years ago

3 0

Answer:

B. Temperature change between noon and 6 PM is the same as the temperature change from 8 PM until 10 PM

Step-by-step explanation:

Based on graph lets understand the options:

A. The temperature changes greater per hour from noon until 6 PM then from 8 PM until 10 PM : This is false.

We can see that temperature at noon is 60 degrees and at 2 pm it is around 50 degrees and at 6 pm the temperature is around 40 degrees. At 8 pm the temperature is 40 degrees and at 10 pm it is about 20 degrees.

B. Temperature change between noon and 6 PM is the same as the temperature change from 8 PM until 10 PM. This is true.

Please refer to the explanation above. The temperature changed approx 20 degrees in both cases.

C. The temperature remains constant between noon and 6 PM. This is false. There are changes in temperature.

D. The temperature remains constant between 8 PM and 10 PM. This is also false.

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nadya68 [22]

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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