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oksano4ka [1.4K]
3 years ago
15

To prove that AVWZ - AYXZ by the SAS similarity

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

Answer:

C. <VZW ≅ <YZX

Step-by-step explanation:

The SAS Similarity theorem says that two triangles are considered similar to each other, when 2 of the corresponding side lengths of the triangles are proportional to each other, and also the included angles in each triangle are congruent.

We are given the two sides of each triangle that corresponds to each other already. So, the next item to be used in order to prove that both triangles are similar is the corresponding included angles that should be congruent to each other. Thus:

The included angle, <VZW in ∆VWZ corresponds to the included angle, <YZX in ∆YXZ.

Therefore:

<VZW ≅ <YZX

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Sara earned $7.25 per hour plus an additional $105 in tips waiting tables last week. She earned at least $329.75. If h
jonny [76]

Answer:

The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is                               105 + 7.25 h \geq329.75  

Step-by-step explanation:

Given as :

The earning of Sara in per hour amount = $7.25 per hour

The additional earning of Sara as tips = $105

The Total earning of Sara = $329.75

Let The minimum number of hours that Sara could have worked =  h hours

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

The Total earning of Sara = The earning of Sara in per hour amount × minimum working hours + The additional earning of Sara as tips

I.e $329.75 = $7.25 per hour × h + $105

Or, $105 + $7.25 per hour × h = $329.75

Or, $7.25 per hour × h = $329.75 - $105

Or, 7.25 per hour × h = 224.75

∴ h = \dfrac{224.75}{7.25}

I,e h = 31 hours

So, The number of hours Sara worked = h = 31 hours . Answer

Hence, The minimum number of hours that Sara could have worked is 31 hours .

The inequality representation of possible value of h is                               105 + 7.25 h \geq $329.75  

Answer

4 0
4 years ago
I appreciate the help and if you don’t mind can someone please help me with this one too
Allisa [31]

Answer:

he must work 8 hours

Step-by-step explanation:

soln:

given,

$8=1 hour

or,$1=1/8 hour

so,

$64=64*1/8 hour

•°•$64=8 hours

7 0
3 years ago
9.92749, √101, 0.99853, 10π greatest to least
Fudgin [204]

Using a calculator, determine the value of √101 to four or five decimal places.  Do the same with 10π.  We get { 9.92749, 10.0500, 0.99853, 31.4159}.

Arranging these in descending order, we get {10π, √101, 9.92749, 0.99853}.

8 0
3 years ago
What is the answer to. Work out 5-10/-5
CaHeK987 [17]
10/-5 = -2 so 5 - (-2)= 7
8 0
4 years ago
The distance 13,860 feet is equal to 2 5/8 write this as a decimal please
Ann [662]

Answer: 2.625

Step-by-step explanation:

All you have to do is divide 5 by 8 which gives you .625 and then you put the 2 in front of the decimal amd you get your answer.

8 0
4 years ago
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