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labwork [276]
2 years ago
6

translate triangle A by vector (-3,1) to give triangle B. Then roste your triangle B 180 degrees around the origin to give trian

gle C. Describe fully the single transformation that maps triangle A onto triangle C

Mathematics
1 answer:
Strike441 [17]2 years ago
8 0

Answer:

<h3>From A to B.</h3>

The first transformation is a reflection across the x-axis, then a shift one unit down. Finally, a reflection acroos the line x = 1.5. These transformations give figure B.

<h3>From B to C.</h3>

To get figure C, we just need to do a 180° rotation across the origin. Or, you can see this transformation as a reflection acroos the origin, it would be the same result.

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Molly is making strawberry-infused water. For each ounce of strawberry juice, she uses 3 time many ounces of water. She wants to
Aneli [31]

Answer:

s + 3w = 64

Step-by-step explanation:

s represents the amount of strawberry juice

w represents the amount of water

then,  

s + 3w = 64

4 0
2 years ago
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Given: Quadrilateral PQRS is a rectangle. Prove: PR = QS Reason Statement 1. Quadrilateral PQRS is a rectangle. given 2. Rectang
Alex73 [517]

Answer:

Step-by-step explanation:

Given:  Quadrilateral PQRS is a rectangle.

To prove: PR = QS

Proof: 1.  Quadrilateral PQRS is a rectangle(Given).

2. Rectangle PQRS is a parallelogram (Definition of a rectangle).

3. QP ≅ RS QR ≅ PS (Opposite angles of parallelogram are equal).

4. m∠QPS = m∠RSP = 90° (definition of a rectangle)

5. Δ PQS ≅ ΔSRP (SAS criterion for congruence)

6. PR ≅ QS (Corresponding sides of congruent triangles are congruent).

7. PR = QS (Congruent line segments have equal measures).

6 0
2 years ago
Read 2 more answers
The winners of a carnival game draw a ticket from a box to determine their prize. Each winner draws a ticket and places it back
swat32

Answer:

He generates a random whole number from 1 to 3.

Step-by-step explanation:

Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.

6 0
2 years ago
It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry a
Sphinxa [80]

Answer:

(a) P(B) = 0.008, (b) P(A∩B) = 0, (c) Yes, A and B are mutually exclusive events, (d) P(A∪B)=0.948, (e) 0.948, (f) 0.06

Step-by-step explanation:

We have three different posibilities

A: fill to specification

B: underfill

C: overfill

in probability the sum of the different events which are mutually exclusive should sum to 1, so, we should have

(a) P(B) = 1 - P(A)-P(C) = 1-0.940-0.052=0.008

(b) P(A∩B)=probability that the machine fill to specification and underfill = 0 because a machine can't fill to specification and underfill at the same time

(c) Yes, A and B are mutually exclusive events, because a machine can't fill to specification and underfill at the same time

(d) Because A and B are mutually exclusive events we should have that

P(A∪B)=P(A)+P(B)=0.940+0.008=0.948

(e) The probability that the machine does not overfill is the same that the probability that the machine fill to specification plus the probability that the machine underfill, i.e, the probability that the machine does not overfill is P(A)+P(B)=0.948, because does not overfill is equivalent either to fill to specification or to underfill.

(f) The probability that the machine either overfill or underfills is

P(C∪B)=P(C)+P(B)=0.052+0.008=0.06 because C and B are mutually exclusive events.

5 0
2 years ago
You have a function that takes in an X value and produces a Y value. The Y value equals 24 times the X value, plus 4?More. What'
guapka [62]

Answer:

100

Step-by-step explanation:

The function takes in an X value and produces a Y value.

The Y value equals 24 times the X value plus 4 more.

This means that:

Y = 24X + 4

When the X value equals 4, the Y value will be:

Y = 24(4) + 4

Y = 96 + 4

Y = 100

When the X value is 4, the Y value is 100.

7 1
2 years ago
Read 2 more answers
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