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My name is Ann [436]
3 years ago
5

Can someone help me answers these questions

Mathematics
2 answers:
Finger [1]3 years ago
6 0

Answer:

3) 156°

4) 24°

5) 24°

6) 24°

Step-by-step explanation:

m∡2: 180 - 156 = 24°  

m∡3:  156° (is vertical to angle labeled as 156°)

m∡4:  24°  (is vertical to angle 2)

m∡5:  156°

m∡6:  24° (alternate-interior to angle 4)

m∡7:  156° (corresponding angle with ∡3)

m∡8:  24° (vertical with angle 6)

OLEGan [10]3 years ago
3 0

Answer:

Step-by-step explanation:

m∠2 = m∠4 = m∠8 = 180° - 156° = 24°

m∠8 = 156°

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if you were to solve the following system by substitution what would be the best variable to solve and from what equation? 2x+8y
Nina [5.8K]
All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y

My choice would be to solve for x using the first equation.

_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35

4 0
3 years ago
How to solve a equation like:<br> 2m = -2/3
adell [148]

Answer:

m = -\frac{4}{3}

Step-by-step explanation:

2m = -\frac{2}{3}

Divide both sides by 2 to get just m

\frac{2m}{2} = \frac{-\frac{2}{3}}{2}

You can't divide a fraction by a number so you do kcf (keep it, change it, flip it)

m = -\frac{2}{3} x \frac{2}{1}

m = -\frac{4}{3}

6 0
3 years ago
Lotteries are an important income source for various governments around the world. However, the availability of lotteries and ot
SashulF [63]

Answer: 0.0473

Step-by-step explanation:

Given : The proportion of gambling addicts : p=0.30

Let x be the binomial variable that represents the number of persons are gambling addicts.

with parameter p=0.30 , n= 10

Using Binomial formula ,

P(x)=^nC_xp^x(1-p)^{n-x}

The required probability = P(x>5)=P(6)+P(7)+P(8)+P(9)+P(10)\\\\=^{10}C_6(0.3)^6(0.7)^{4}+^{10}C_7(0.3)^7(0.7)^{3}+^{10}C_8(0.3)^8(0.7)^{2}+^{10}C_9(0.3)^9(0.7)^{1}+^{10}C_{10}(0.3)^{10}(0.7)^{0}\\\\=\dfrac{10!}{4!6!}(0.3)^6(0.7)^{4}+\dfrac{10!}{3!7!}(0.3)^7(0.7)^{3}+\dfrac{10!}{2!8!}(0.3)^8(0.7)^{2}+\dfrac{10!}{9!1!}(0.3)^9(0.7)^{1}+(1)(0.3)^{10}\\\\=0.0473489874\approx0.0473

Hence, the required probability = 0.0473

5 0
3 years ago
Please help me solve this I forgot how to
RideAnS [48]
2.5 

hope it helps//...,d/cmn/lsjdhc;ljwknefv


4 0
3 years ago
The polygon angle sum theorem states that the sum of the measures of the interior angles of an n-gon is
mafiozo [28]

Answer:

D.

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8 0
2 years ago
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