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Ksenya-84 [330]
3 years ago
11

PLEASE HELP ASAAPPP PLEASEE

Mathematics
1 answer:
saw5 [17]3 years ago
5 0

Answer:

m∠1 =  81

m∠2 =  99

Step-by-step explanation:

The angles are supplemaentary and therefor sum to 180

3x + (x + 72) = 180

4x + 72 = 180

4x = 108

x = 27

m∠1 = 3x

m∠1 = 27(3)

m∠1 =  81

m∠2 = x + 72

m∠2 = 27 + 72

m∠2 =  99

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Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have V=IR^{2} and let H be the subset of V of all points on the line

4x+3y=12

We need to find if H is a subspace of the vector space V.

In IR^{2} all the possibilities for own subspace of the vector space IR^{2} are :

  • IR^{2} itself.
  • The vector 0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]
  • All lines in IR^{2} that passes through the origin  (  0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]  )

We know that H is the subset of IR^{2} of all points on the line 4x+3y=12

If we look at the equation, the point \left[\begin{array}{c}0&0\end{array}\right] doesn't verify it because :

4x+3y=12\\4(0)+3(0)=12\\0=12

Which is an absurd. Therefore, H doesn't contain the origin (and H is a line in IR^{2}). Finally, it can't be a vector space of V=IR^{2}

8 0
3 years ago
Henry rolls a fair dice 42 times. How many times would Henry expect to roll a number greater than 5?​
Sonja [21]

Answer:

7 times

Step-by-step explanation:

There is one number greater than 5 on a dice - that is the number 6.

So probability of throwing a six = 1/6.

So it is 42 * 1/6.

5 0
3 years ago
1. Find the common difference and find the 75th term of the arithmetic sequence: 3, 6, 9, 12, ....
Ymorist [56]

Answer:

\boxed{225}

.

Step-by-step explanation:

Arithmetic sequence

Un = a + (n - 1)b

.

First step, find its difference

b = U_2 - U_1

b = 6 - 3

b = 3

.

So, we get

a = 3

b = 3

.

Finally, Let's find the 75th term

U_{75} = 3 + (75 - 1)3

U_{75} = 3 + (74)3

U_{75} = 3 + 222

U_{75} = 225

4 0
3 years ago
Read 2 more answers
The rule below shows how to find the position of an object thrown upward with initial velocity of 15 feet per second. Which answ
nekit [7.7K]

Here we're applying a basic physics rule for vertical motion where the only pull on the object is gravity.


This rule has the form


h(t) = h + v t + (1/2)a*t^2

o o


To adapt this rule to this particular question replace h with 0, as the

o

upward path of the object begins at 0 ft. Replace v with +15 ft/sec.

o


Replace "a" with (-32.2 ft/(sec^2); this is the acceleration due to gravity.


Then we have the following, with the label F(t):


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Please note: To avoid confusion, please use " ^ " to denote exponentiation:


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5 0
3 years ago
Read 2 more answers
-5 is to the _____ of 0.<br>Answer early pls​
Norma-Jean [14]

\Huge\boxed{Hi~there!}

On a number line, -5 is to the left of 0.

Remember, on a number line, positive numbers (including fractions, decimals and surds) are to the right of 0:

----------------------------------------------------------------------->

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Negative numbers (including rational and irrational numbers) are to the left of 0:

<-----------------------------------------------------------------

      -8      -7        -6     -5         -4     -3   -2    -1 0

Hope it helps! Enjoy your day!

~Just a determined gal

\bf{erutaNtneliS

3 0
3 years ago
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