The surface area of a cube is 2.535 m2. Which statements are true about the same cube measured in square centimeters?

Choose all answers that are correct.

A.
The number representing the surface area would decrease.

B.The number representing the surface area would increase.

C.
The actual surface area would decrease.

D.
The actual surface area would increase.

E.
The actual surface area would stay the same.

Answers

Answer 1

Answer: Given:
Surface area of a cube = 2.535 m²

convert square meters to square centimeters:
1 square meter = 10,000 square centimeters

2.535 m² * 10,000 cm²/m² = 25,350 cm²

B.The number representing the surface area would increase.
(from 2.535 to 25,350)

E.The actual surface area would stay the same.
(only the units used differ).

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What is the lcd for the factor 1/3 and 2/9?

Answers

The LCD is 9 for the factor 1/3 and 2/9.

Given: PQ congruent to SR, PQR congruent to SRQ
Prove: PQR congruent to SRQ

Answers

Answer:

ΔPQR is congruent to ΔSRQ b the Side-Angle-Side rule of congruency ${}$

Step-by-step explanation:

The two column proof is given as follows;

Statement ${}$ Reason

1. $\overline {PQ}$ ≅ $\overline {SR}$ ${}$ Given

2. ∠PQR ≅ ∠SRQ ${}$ Given

3. $\overline {QR}$ ≅ $\overline {QR}$ ${}$ By reflexive property

4. ΔPQR ≅ ΔSRQ ${}$ By SAS rule of congruency ${}$

When two sides and an included angle of one triangle are congruent to the corresponding two side and an included angle of another triangle, both triangles are said to be congruent by the Side-Angle-Side SAS rule of congruency.

(17 PTS)
GEOMETRY QUESTIONS, PLEASE HELP!

Answers

14.
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.

15.
Angles 1 and 8 are congruent, because they are alternate exterior angles

16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5

17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0

18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3

19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
m = -1
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
m = 1
Perpendicular, because the slopes are opposite reciprocals.

20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
m = 2
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
m = 3 / 2
Neither, because the slopes are different.

21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
m = -5/2
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
m = 2/5
Perpendicular, because the slopes are opposite reciprocals.

22.
M = (-2, 2) - N = (2, 2)
Horizontal line
m = 0
O = (3, 0) - P = (-3, 0)
Horizontal line
m = 0
Parallel, because the slopes are the same.

23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.

14. Supplementary
15. Congruent

16. $m = (y_2 - y_1)/(x_2 - x_1) = (7 - 2)/(4 - 5) = (5)/(-1) = -5 \n\ny - y_1 = m(x - x_1) \ny - 2 = -5(x - 5) \ny - 2 = -5(x)+ 5(5) \ny - 2 = -5x + 25 \ny = -5x + 27$

17. $m = (y_2 - y_1)/(x_2 - x_1) = (3 - 3)/(-5 - 7) = (0)/(-12) = 0 \n\ny - y_1 = m(x - x_1) \ny - 3 = 0(x - 7) \ny - 3 = 0(x) - 0(7) \ny - 3 = 0x - 0 \ny = 0x + 3$

18. $m = (y_2 - y_1)/(x_2 - x_1) = (1 - (-2))/(5 - (-4)) = (1 + 2)/(5 + 4) = (3)/(9) = (1)/(3) \n\ny - y_1 = m(x - x_1) \ny - (-2) = (1)/(3)(x - (-4)) \ny + 2 = (1)/(3)(x + 4) \ny + 2 = (1)/(3)(x) + (1)/(3)(4) \ny + 2 = (1)/(3)x + 1(1)/(3) \ny = (1)/(3)x - (2)/(3)$

19. Perpendicular
20. Neither
21. Perpendicular
22. Parallel

23. Given: Transversal r cuts lines
   l and m: <2 = <1
      Prove: l || m

Statements | Reasons
1. <2 ≡ <1 | 1. They are congruent.
2. <1 ≡ <3 | 2. They are congruent.
3. <2 ≡ <3 | 3. They are parallel.
4. l || m    | 4. They are parallel.

on six tests you earn scores 89,81,85,82,89 and 89. what is your grade to the nearest whole number, and which measure of central tendency should you choose

Answers

you should use the Mean or avg as the central tendency. why? because you want to find the avg of the 6 scores.

89 +81+85+ 82+ 89+ 89 = 515
515/ 6 = 85.833
or 86 when rounded to the nearest whole number

Please help 50 pointsPart A: Explain why the x-coordinates of the points where the graphs of the equations y = 4–x and y = 2x + 3 intersect are the solutions of the equation 4–x = 2x + 3. (4 points)

Part B: Make tables to find the solution to 4–x = 2x + 3. Take the integer values of x between −3 and 3. (4 points)

Part C: How can you solve the equation 4–x = 2x + 3 graphically? (2 points)

Answers

Hi There! :D

Part A) you have the equations of two lines: y = 4-x and y = 2x + 3 If a point is on the first line AND that same point is on the other line, then the point must be at the intersection (where the lines cross). the y value of this point will be BOTH 4-x and 2x+3. In other words 4-x= 2x+3

part C) graph the two lines y = 4-x and y = 2x + 3 and see where they intersect. That is, pick out the (x,y) pair that is on both lines.

Part A:To find the point where the two lines intersect, you must find the common point (x). To find this, you must set the two equations equal to each other.

Can somebody pls help ill give you 10 or 22 points pls I’m stuck.

Answers

Sorry no roller

Hope it’s right
Best luck with your studying

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I’ll mark brainliest! Pls helpp

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