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Over [174]
3 years ago
14

Is the supplement of an acute angle is an obtuse angle

Mathematics
2 answers:
Korvikt [17]3 years ago
8 0

Answer:

The statement is always true because the sum of the two angles must be 180 degrees to be supplementary. If the first angle is an acute angle, then it has a measure of less than 90 degrees. To sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.

Step-by-step explanation:

Brums [2.3K]3 years ago
4 0

Yes. Supplementary angle is one which when added to the angle makes 180 degrees. Thus, if the angle is acute, its supplementary angle would be obtuse.

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Helpppppppp meeeeeee
natta225 [31]

Answer:

y = 14

Step-by-step explanation:

∠BCF and ∠EFH are same side interior angles and are supplementary, hence

5x - 66 +2x + 50 = 180

7x - 16 = 180 ( add 16 to both sides )

7x = 196 ( divide both sides by 7 )

x = 28

∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74

∠ACD = ∠BCF ( vertical angles ), hence

9y - 52 = 74 ( add 52 to both sides )

9y = 126 ( divide both sides by 9 )

y = 14

6 0
3 years ago
An NFL team kicker misses 2 out of every
CaHeK987 [17]

Answer:

Step-by-step explanation:

8/2 = 4

4 x 11 = 44

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4 0
3 years ago
Read 2 more answers
4. Let B = {(1,0,1),(0,1,2), (2, -1,0)}. (a) The vectors in B are dependent. Show this. (b) Find a non-trivial solution to an(1,
Vladimir79 [104]

Answer:

Step-by-step explanation:

Given are three vectors in set B.

To show that B is dependent

The determinant

\left[\begin{array}{ccc}1&0&1\\0&1&2\\2&-1&0\end{array}\right] \\=1(2)-1(2) =0

Hence vectors are dependent

b) The given equation a_1(1,0,1) + a_2(0,1,2) + a_3(2, -1,0) = 0.\\

Let us try parametrically

These 3 vectors are collinear and hence equation would be

\frac{x-1}{0-1} =\frac{y-0}{1} =\frac{z-1}{2-1} =s\\(x,y,z) = (1-s, s, 1+s)

c) Basis for B would be only 2 dimensional

i.e. any two vectors out of 3 form basis

The basis would be (1,0,1) and (0,1,2)

3 0
3 years ago
Find three consecutive intergers such that three times the third is 102 more than the sum of the first and second.
Pavlova-9 [17]

Answer:

A) x + x+1 + x+2

We don't need equation A)

B) 3*(x+2) = (x + X+1) +102

3x + 6 = 2x + 1 + 102

x = 97

Numbers are 97, 98 and 99

Step-by-step explanation:

6 0
3 years ago
If two events a and b are independent and you know that p(a) = 0.70, what is the value of p(a | b)?
Afina-wow [57]
Hello : 
note 1 : 
 p(A|B) = p(A∩B)/<span> p(B)....(1)

note 2 : 
</span> A and B independent: p(A∩B) = p(A)×p(B)......(2)
subsct in (1) :  p(A|B) = p(A∩B)/ p(B)
                                   =  (p(A)×p(B))/p(B)
    p(A|B) = p(A) = 0.70            
3 0
3 years ago
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