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2 years ago

Please help! 100 points and brainlieast if you can help!

Mathematics

1 answer:

zysi [14]2 years ago

5 0

Answer:

1. 38 oz / 2 lbs 6 oz

2. 254 in / 7 yd 2 in

3. 21 pt / 3 gal 2 qt 1 pt

4. 18,480 ft / 3 mi 2,640 ft

5. 180 oz / 6 lbs 12 oz

6. 525 s / 8 min 45 s

7. 318 in / 8 yd 2 ft 10 in (9.99996 inches not simplified)

8. 9 pt / 4 qt 1 pt

9. 15,885 s / 4 hr 24 min 45 s

The first answers are the ones I got originally and the second answers are the simplified ones.

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In the figure below, mZ1=(x +48) and m2 2=2xº.<br> Find the angle measures.

NARA [144]

Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°

6 0

3 years ago

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

-------------------------------------------

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

-------------------------------------------------------

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

Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

timofeeve [1]

First find the equation of y.

$y=mx+n=\frac{\Delta y}{\Delta x}x+n$

Find the slope m.

$m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1$ .

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

$9=1(-3)+n\implies n=12$ .

The equation of a line y is:

$y=x+12$ .

The perpendicular line $y_{\perp}$ is same like the normal line except its slope m becomes:

$k=-\frac{1}{m}=-1$ .

The equation of a perpendicular bisector is thus:

$y_{\perp}=-x+12$ .

Hope this helps.

6 0

3 years ago

Read 2 more answers

How to memorize multiplication tables in one day?

padilas [110]

You cannot memorize a whole multiplication chart in one day, but if you go online and search multiplication stories, there may be some stories to help you memorize your facts quicker depending on your learning style. Also try and remember that any number times any number is just that number being added over and over again a certain amount of times. For example: 3*4= 3+3+3+3 Hope this helps :)

6 0

3 years ago

Please help me in number 3please!

satela [25.4K]

For the circumference, you actually multiply by 20 because of the formula πd = C [OR 2πr = C]. You meant to double the radius.

4 0

3 years ago