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jeyben [28]
3 years ago
5

What is the length of a segment with endpoints (2, 5) and (10, 11) *

Mathematics
1 answer:
yuradex [85]3 years ago
4 0

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

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Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What
777dan777 [17]

Answer:

B) \frac{3}{4} x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

                               = 40 units

Dilating KMPT by a scale factor of \frac{3}{4} would create K'M'P'T' of dimensions; \frac{3}{4} × 12 units by \frac{3}{4} × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

                                  = 2(9 + 6)

                                  = 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be  \frac{3}{4} × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

         perimeter of K'M'P'T' = \frac{3}{4} * x units

                                            = \frac{3}{4}x units

6 0
3 years ago
Why is the product of 3\5 and 250 smaller than 250?
victus00 [196]
Because you are not multiplying 250 by a number larger than 1. If you multiply 250 by a number larger than 1 the product will be larger than 250. If you multiply 250 by a number less than 1 the product will be less than 250.

Hope that helps!
7 0
3 years ago
Read 2 more answers
A cup of coffee is cooling down such that its temperature is decreasing at a constant rate of 8% per minute. Let’s say the coffe
KengaRu [80]

Answer:

Temperature after 1 minute = 184 ° F

Step-by-step explanation:

starting temperature = 200 °F

rate of decrease = 8% per minute

Temperature lost = 8% of 200 = 8/100 × 200 = 0.08 × 200 = 16 °F

It therefore means that after 1 minute, the cup of coffee loses 16 °F,

∴ Temperature after 1 minute = (starting temperature) - (lost temperature)

= 200 - 16 = 184 °F

4 0
3 years ago
Find the length of UT.
otez555 [7]

Answer: A. 32

Concept:

Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.

The<u> intersecting chord theorem </u>states that when two chords intersect at a point, P, the product of their respective partial segments is equal.

The<u> Segment Addition Postulate</u> states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

<u>Given information</u>

CW = 12

TW = 14

VW = 2x + 5

UW = 2x + 2

<u>Given expression deducted from intersecting chord theorem</u>

CW · VW = TW · UW

<u>Substitute values into the expression</u>

(12) · (2x + 5) = (14) · (2x + 2)

<u>Expand parentheses and apply the distributive property</u>

24x + 60 = 28x + 28

<u>Subtract 14x on both sides</u>

24x + 60 - 24x = 28x + 28 - 24x

60 = 4x + 28

<u>Subtract 28 on both sides</u>

60 - 28 = 4x + 28 - 28

32 = 4x

<u>Divide 4 on both sides</u>

32 / 4 = 4x / 4

x = 8

<u>Given expression deducted from the segment addition postulate</u>

UT = UW + TW

<u>Substitute values into the expression</u>

UT = 2x + 2 + 14

<u>Substitute x value into the expression</u>

UT = 2 (8) + 2 + 14

UT = 16 + 2 + 14

<u>Combine like terms</u>

UT = 32

Hope this helps!! :)

Please let me know if you have any questions

5 0
2 years ago
Utilizando a calculadora determine o valor aproximado de raiz quadrada de
Zielflug [23.3K]

Answer:

i think D or F

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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