The surface area of this cube is 6 square centimeters. What is the value of c?

List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°

scoray [572]

The given angles are
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

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So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

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Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0

2 years ago

Please help !!!!!!!!!

Kaylis [27]

Answer:

9) JK = 24.5

10) LM = 24.5

11) m∡L = 51°

12) m∡M = 129°

Step-by-step explanation:

in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent

so, ∡K = ∡M and ∡J = ∡L

since ∡'s L and M are adjacent we can add them and set them equal to 180

5z - 6 + 2z - 3 = 180

7z - 9 = 180

7z = 189

z = 27

therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51

Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM

7x = 3x + 14

subtract 3x from each side to get:

4x = 14

x = 14/4 = 3.5

to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5

to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5

6 0

2 years ago

Max is stacking logs at his campground for firewood. After his first load of logs, he has 9 logs on the stack. After his seventh

sleet_krkn [62]

Answer:

D an = 9 + 7(n-1)

Step-by-step explanation:

In the question, Max has 9 logs in the first load. But, after the seventh load he has a total of 51 logs. So the n would be your logs in the stack, which is 51. And since there is a total of 51 logs after the seventh load. It would be 9 plus 7 in parenthesis of 51 minus one, which is 50. So 50 times 7 comes down to 350 plus nine which comes down to a total of 359.

8 0

3 years ago

Read 2 more answers

Which is greater, 1 3/4 or 1?

lions [1.4K]

Answer:

1 3/4

Step-by-step explanation:

1 3/4 is 3/4 more than one.

5 0

3 years ago

Read 2 more answers

Which ordered pairs in the form (x, y) are solutions to the equation (x + 6)y = 9? Choose all answers that are correct. A.(−5,

valentinak56 [21]

<span>So we need to find the solutions to the equation (x+6)y=9 so we can arrange them in pair (x,y). We simply plug in the numbers into the equation. First pair (-5,9), we get (-5+6)9=9 so 1=1 and that is true, so first pair works. Second pair: (-3+6)3=9 we get (3)3=9 and 9=9 so second pair also works. Third pair: (3+6)1=9 we get 9=9, also works. Fourth pair: (7+6)9=9 we get 13*9=9 and 117=9 which is false so the fourth pair can't be a solution for the equation. The correct answers are A, B and C.</span>

4 0

3 years ago