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3 years ago

Which transformation(s) can map BCD onto WXY?

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

3 0

The Answer Is Translation, then rotation

oksano4ka [1.4K]3 years ago

3 0

Answer:

c) Translation, then rotation.

Step-by-step explanation:

The three types of transformation are defined as:

1. Rotation: When you turn a figure around a point to a certain degree

2. Reflection: When you flip the figure over a line

3. Translation: When you slide a figure in any direction

Now, we have the figure BCD and we need to map it onto figure WXY.

So, from the above three transformations, this mapping is only possible in the following two cases:

I. First we translate the figure BCD to the right and then rotate it counter-clockwise .i.e. Translation, then rotation.

II. First we rotate the figure counter-clockwise and then translate the figure BCD to the right .i.e. Rotation, then translation.

As, in the given options only I is available.

Hence, (C) Translation, then rotation is correct.

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A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect

dangina [55]

Answer:

The probability of a chain defect is 3%.

Step-by-step explanation:

Given : A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent.

If the probability of a defect with the brakes or the chain is 6 percent

To find : What is the probability of a chain defect?

Solution :

Let A be the event of brake defect

and B be the event of chain defect.

We have given, P(A)= 4%=0.04

P(A and B) = 1%=0.01

P(A or B)= 6%=0.06

We have to find P(B),

The formula used is,

$P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)$

Substitute the value,

$0.06= 0.04+ P(B) - 0.01$

$0.06= 0.03+ P(B)$

$0.06-0.03=P(B)$

$P(B)=0.03$

or $P(B)=3\%$

Therefore, The probability of a chain defect is 3%.

4 0

3 years ago

Read 2 more answers

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket cos

IgorC [24]

Marked price = 200 + 40% of 200 = 200 * 0.4*200 = 200 + 80 = $280 price after 25% discount = 280 - 0.25*280 can you work that out?

8 0

4 years ago

True or false (picture provided)

Kitty [74]

Answer:

True

Step-by-step explanation:

we know that

A non-negative number is a real number greater than or equal to zero

In this problem

we have

$x\geq 0$

The solution of the inequality is all real numbers greater than or equal to zero [0,∞)

Therefore

$x\geq 0$ express a non-negative number in symbols

3 0

3 years ago

Substitute y=-x+6 x-2y=-6

Ksenya-84 [330]

<span><span>x-4x+12=6
-3x+12=6
-3x+12-12=6-12
-3x=-6
-3x/-3=-6/-3
x=2
Plug (2) in for x in L2 and solve for y:

y=2(2)-6
y=4-6
y=-2
The solution (x,y)=(2,-2)
Check in both equations by substituting (x,y)=(2,-2) and see if it equals out:
L1) (2)-2(-2)=6
2+4=6
6=6 L1 checks out.
L2) (-2)=2(2)-6
-2=4-6
-2=-2 L2 checks out also, so we can say with confidence that the solution is right.
</span></span>

7 0

3 years ago

Please help will mark brainliest. Find AC

Anastaziya [24]

Answer: Line AC = 16

Step-by-step explanation: We have two angles and one side given. The side given is facing one of the angles so we apply the Sine Rule;

a/SinA = b/SinB

We can now substitute values as follows;

AC/Sin 77 = 14/Sin 58

We cross multiply and we have

AC = (14 x Sin 77)/Sin 58

AC = (14 x 0.9744)/0.8481

AC = 13.6416/0.8481

AC = 16.08

Approximately, Line AC = 16.

4 0

4 years ago