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4 years ago

△QRS is rotated about point P to △Q′R′S′ .

Mathematics

1 answer:

swat324 years ago

6 0

A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.

Therefore,

option A is false, because rotation preserves sizes;
option B is false, because rotation doesn't change the figure size;
option C is true, because rotation preserves figure angles;
option D is true, because rotation preserves lenghts of segments.

Answer: option C and D.

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Which of the following is an outlier in the set of data below?

Elden [556K]

The answer is choice A) 2

The main cluster of data is the group {12, 12, 14, 17, 18, 19} as they aren't very far apart in distance (plot the values on a number line). The range of this group is 7 since 19-12 = 7. Compare this to the distance from 2 to 12 which is 10 units; a far greater distance than 7. So the value 2 is on its own on an "island" so to speak

5 0

3 years ago

Read 2 more answers

Explain or show how you could find 5 ÷ 1/3 by using the value of 5x3.

erastova [34]

Answer:

You could find 5/⅓

by using 5 × 3

Knowing that:

Any number multiplied by 1, gives the number itself.

Dividing any number by itself gives 1.

Writing 5/⅓ as 5/⅓ × 1 doesn't change the value.

Then I can write 5/⅓ as

5/⅓ × (5×3)/(5×3) = 1

This can become

[5×(5×3)] / [(⅓) × (5×3)]

= 75/(15/3)

= 75/5

= 15

12/ 3/5

= [12/ (3/5)] × [(5×3)/(5×3)]

= 12×(5×3) / (3/5)×(5×3)

= (12×5×3) / [(3×5×3)/5]

= 180 / (45/5)

= 180 / 9

= 20

7 0

3 years ago

Suppose

Anastaziya [24]

Answer:

Step-by-step explanation:

Given a linear function f(x) that varies at a constant rate of change 1.5 with respect to x, If x varies from x = 1.3 to x = 1.5, the to get the amount by which x change by, we will use the expression;

Δx = x₂-x₁

x₂ is the final value of x

x₁ is the initial value of x

Given x₁ = 1.3 and x₂ = 1.5

Substitute the values in the formula above;

Δx = x₂-x₁

Δx = 1.5 - 1.3

Δx = 0.2

Hence the value of x change by 0.2

4 0

3 years ago

Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?

yuradex [85]

The mother is older than her daughter by $\frac{3}{4}m$ years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

Put the age of mother equal 4 times the age of daughter
Find the age of daughter
Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ $\frac{1}{4}m$ = daughter's age