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Fudgin [204]
3 years ago
9

My Christmas present to you​

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Answer:

Step-by-step explanation:

thx

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By which rule are these triangles congruent?<br> A) AAS <br> B) ASA <br> C) SAS <br> D) SSS
exis [7]

Answer:  A) AAS

Step-by-step explanation:

In the given picture we have two triangles ΔVUW and ΔXUY .

WV ≅ YX

∠UYX≅ ∠UYW

Also, it can be seen that ∠XUY and ∠VUW are vertical angles.

[When two lines intersects then they form two pair of angle known as vertical angles ]

Also, Vertical angles are always congruent.

⇒ ∠XUY ≅ ∠VUW

Now , in ΔXUY  and  ΔVUW, we have

WV ≅ YX

∠UYX≅ ∠UYW

∠XUY ≅ ∠VUW

So by AAS theorem , we have

ΔVUW ≅ ΔXUY  

  • AAS theorem says that if two angles and a side of a triangle are congruent to two angles and a side of another triangle then the triangles are said to be congruent.
5 0
4 years ago
Read 2 more answers
What is the surface area of the box if it is scaled up by a factor of 10? THE SURFACE AREA IS 432CM. LEGHT 12CM. WIDTH 6CM. HEIG
marissa [1.9K]

The scale factor for area is the square of the scale factor for linear dimensions. If linear dimensions are scaled up by a factor of 10, the area is scaled up by a factor of 10² = 100.

The area of the larger box is 100×432 cm² = 43,200 cm².

6 0
3 years ago
"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from
Olenka [21]

Answer:

vr = 540

vp = 486.22 j + 205.9 j

Theta  = 22.95

Step-by-step explanation:

The resultant velocity vr = vp + vw

vp = vector velocity of plane and

vw = vector velocity of wind

vr = vector resultant velocity

in one hour the plane travels 540 miles and hence the speed is 540 mph

Hence vr = 540

vp = 486.22 j + 205.9 j

Theta

= tan^{-1}\frac{205.9}{486.22} \\= 22.95

3 0
3 years ago
It took 48 minutes to drive downtown. An app estimated it would be less than that. If the error was 20%, what was the app’s esti
IgorLugansk [536]

Answer:

The estimated taken to drive downtown using App is 38.4 minutes

Step-by-step explanation:

Given as :

The initial time taken to drive downtown = i = 48 minutes

The percentage error of time = r = 20%

Let The estimated time using app = t min

Let the time = 1 min

<u>Now, according to question</u>

The estimated time using app = The initial time taken to drive downtown × (1-\dfrac{\textrm rate}{100})^{\textrm time}

Or, t minutes = i minutes × (1-\dfrac{\textrm r}{100})^{\textrm 1}

Or, t = 48 minutes × (1-\dfrac{\textrm 20}{100})^{\textrm 1}

Or,  t = 48 minutes × \dfrac{100-20}{100}

Or,  t = 48 minutes × \dfrac{80}{100}

∴ t = \dfrac{48\times 80}{100} minutes

I.e t = 38.4 minutes

Or, The estimated time using app = t = 38.4 min

Hence, The estimated taken to drive downtown using App is 38.4 minutes Answer

5 0
3 years ago
At a slumber party, 1/3 of the girls painted their fingernails. Out of those girls, 1/6 of them chose red as their nail polish c
Leni [432]
1/18 because 1/6 of 1/3 of the girls painted their nail red and 1/6 of 1/3 is 1/6*1/3 or 1/18.
6 0
3 years ago
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