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zavuch27 [327]
2 years ago
13

Triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L' What is the value o

f X A. 5 B. 6 C. 7 D. 8

Mathematics
1 answer:
vova2212 [387]2 years ago
5 0

Answer:

B. 6

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A translation and a reflection are rigid transformations, that produce congruent figures'

Remember that

Two figures are congruent if their corresponding sides and their corresponding angles are congruent

In this problem

Triangle JKL and Triangle J'K'L' are congruent

so

JL=J'L'

substitute the given values

8=2x-4

solve for x

2x=8+4\\2x=12\\x=6

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Find the areas of the trapezoids.
IceJOKER [234]

Answer:

30 units^2

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)h

The scale is 2 units per line

b1 = 2 units

b2 = 8 units

h = 6 units

A = 1/2 ( 2+8) * 6

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3 years ago
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sergij07 [2.7K]

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6 0
2 years ago
a slitter assembly contains 48 blades five blades are selected at random and evaluated each day for sharpness if any dull blade
son4ous [18]

Answer:

P(at least 1 dull blade)=0.7068

Step-by-step explanation:

I hope this helps.

This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.

So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.

P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1

P(at least 1 dull blade)=1-P(no dull blades)

But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.

So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.

Also since are consecutive events, you need to multiply the events.

The probability that the assembly is replaced the first day is:

P(at least 1 dull blade)=1-P(no dull blades)

P(at least 1 dull blade)=1-(\frac{38}{48}* \frac{37}{47} *\frac{36}{46}*\frac{35}{45}*\frac{34}{44})

P(at least 1 dull blade)=1-0.2931

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3 years ago
How many kilograms is a rice packet that weighs 750 g?<br> (Please answer quick!)
RideAnS [48]

Answer:

0.750 kg

Step-by-step explanation:

Hi there ,

As you know 1 kg = 1000g

So when we convert g to kg then we divide the given value of grams by 1000.

So in this case we have 750 grams, changing it we have :

\frac{750}{1000}

Since there are 3 zeroes in 1000 we move the decimal point by 3 places to the left leaving the answer as : 0.750 kg or \frac{750}{1000} kg

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2 years ago
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Shkiper50 [21]

Answer:

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4). Subtract bags of sand | balloon goes <u> </u><u>U</u><u>P</u><u> </u> | subtract 3 bags of sand <u> </u><u>-</u><u> </u>(<u> </u><u>-</u><u>3</u><u> </u>), subtract 10 bags of sand <u> </u><u>-</u><u> </u>(<u> </u><u>1</u><u>0</u><u> </u>)

<h2>HOPE THIS HELPS.</h2>
6 0
3 years ago
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