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trasher [3.6K]
2 years ago
6

LMN is a straight angle. Find m LMP and m NMP​

Mathematics
1 answer:
viva [34]2 years ago
3 0

Answer:

(-16x + 13)° + (-20x + 23)° = 180° ( St. angle)

-16x° + 13° - 20x° + 23° = 180°

-4x° + 36° = 180°

-4x° = 180°-36°

-4x° = 144°

-x° = 144°/4

-x° = -36°

x° = 36°

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<u>I</u><u> </u><u>hope</u><u> </u><u>you</u><u> </u><u>can</u><u> </u><u>know</u><u> </u><u>this</u><u> </u><u>answer</u>

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For every 1 litre of water used to make a medicine, 300 ml of sucrose and 750ml of saline solution are used. Express the amount
Neko [114]

Answer: Required ratio will be 20:6:15.

Step-by-step explanation:

Since we have given that

For every 1 liter of water used to make a medicine, 300 ml of sucrose and 750 ml of saline solution are used.

So, We need to express the amount of water, sucrose and saline solution in its simplest form.

So, all amount will be in same units i.e. ml.

As we know that

1\ liter=1000\ milimeter\\

So, Ratio will be expressed as

\text{Amount of water : Sucrose : saline solution}\\\\=1000:300:750\\\\=200:60:150\\\\=40:12:30\\\\=20:6:15

Hence, required ratio will be 20:6:15.

8 0
2 years ago
The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots giv
GalinKa [24]

Answer:

94.33

Step-by-step explanation:

add up all numbers then input into a percentage calculator

7 0
2 years ago
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The first terms of an infinite geometric sequence, Un are 2, 6, 18, 54... The first terms of a second infinite geometric sequenc
gladu [14]

Answer:

r = 9 and m = 112

Step-by-step explanation:

\sum_{k=1}^{225}W_{k}=\sum_{k=0}^{m}4r^{k}

Write W in terms of U and V.

\sum_{k=1}^{225}(U_{k}+V_{k})=\sum_{k=0}^{m}4r^{k}\\\sum_{k=1}^{225}U_{k}+\sum_{k=1}^{225}V_{k}=\sum_{k=0}^{m}4r^{k}

Define U and V using geometric series formula.

\sum_{k=1}^{225}2(3)^{k-1}+\sum_{k=1}^{225}2(-3)^{k-1}=\sum_{k=0}^{m}4r^{k}

Use sum of geometric series formula.

2(\frac{1-(3)^{225}}{1-3})+2(\frac{1-(-3)^{225}}{1-(-3)})=4(\frac{1-(r)^{m+1}}{1-r})

Simplify.

-1(1-3^{225})+\frac{1+3^{225}}{2}=4(\frac{1-(r)^{m+1}}{1-r})\\-1+3^{225}+\frac{1}{2}+\frac{3^{225}}{2}=4(\frac{1-(r)^{m+1}}{1-r})\\-\frac{1}{2}+\frac{3(3^{225})}{2}=4(\frac{1-(r)^{m+1}}{1-r})\\\frac{-1+3(3^{225})}{2}=4(\frac{1-(r)^{m+1}}{1-r})\\\frac{-1+3^{226}}{2}=4(\frac{1-(r)^{m+1}}{1-r})\\4\frac{-1+3^{226}}{8}=4(\frac{1-(r)^{m+1}}{1-r})\\4\frac{1-3^{226}}{-8}=4(\frac{1-(r)^{m+1}}{1-r})\\4\frac{1-9^{113}}{1-9}=4(\frac{1-(r)^{m+1}}{1-r})

Therefore, r = 9 and m = 112.

8 0
2 years ago
Can someone please help with 6 and 7? Thank you!
storchak [24]

Answer:

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Step-by-step explanation:

4 0
2 years ago
B(n)=−4−2(n−1)b, left parenthesis, n, right parenthesis, equals, minus, 4, minus, 2, left parenthesis, n, minus, 1, right parent
Inessa05 [86]

Answer:

12th term would be -26.

Step-by-step explanation:

Given explicit formula of a sequence,

b(n) = -4 - 2(n-1)

Where,

n = number of a term.

i.e. 12th term will get after putting n = 12 in the formula.

Hence, 12th term of the sequence would be,

b(12) = -4 - 2(12-1)

=-4-2(11)

= -4 - 22

= -26

8 0
2 years ago
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