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DedPeter [7]
3 years ago
14

Find the measure of angle 3

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

120

Step-by-step explanation:

You might be interested in
In a survey of 269 college students, it is found that
Degger [83]

Answer: a) 83, b) 28, c) 14, d) 28.

Step-by-step explanation:

Since we have given that

n(B) = 69

n(Br)=90

n(C)=59

n(B∩Br)=28

n(B∩C)=20

n(Br∩C)=24

n(B∩Br∩C)=10

a) How many of the 269 college students do not like any of these three vegetables?

n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)

n(B∪Br∪C)=69+90+59-28-20-24+10=156

So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83

b) How many like broccoli only?

n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))

n(only Br)=90-(28+24+10)=28

c) How many like broccoli AND cauliflower but not Brussels sprouts?

n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)

n(Br∩C-B)=24-10=14

d) How many like neither Brussels sprouts nor cauliflower?

n(B'∪C')=n(only Br)= 28

Hence, a) 83, b) 28, c) 14, d) 28.

4 0
3 years ago
A married couple together earns 110,000 a year. The wife earns 16,000 less than twice what her husband earns.what does the husba
Alex17521 [72]
If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000

but w = 2h - 16000

We can turn it into..

2h - 16000 + h = 110000

Which we can then combine into..

3h - 16000 = 110000

Add 16000 and..

3h = 126000

Divide by three...

h = 42000

(nice)

The husband earns 42,000$ a year

Bonus: The wife then earns 68,000$

42,000 (or h) + 68,000 (or w) = 110,000

Because this is the original equation, we are correct.



4 0
3 years ago
Write equation for horizontal line and vertical lines passing through the point of 0 and 7
Alborosie

Answer:

Step-by-step explanation:

for horizontal line slope m=0

eq. of horizontal line at (0,7) with slope 0 is

y-7=0(x-0)

y-7=0

or

y=7

slope of vertical line=∝

eq of vertical line through (0,7) is

y-7=∝(x-0)

or

x-0=0(y-7)

x-0=0

or

x=0

6 0
2 years ago
Chuck's birthday is 2 days before Linus's.
Nat2105 [25]

Answer:

march 9

Step-by-step explanation:

10+3-4

=9

I think that's the answer

6 0
2 years ago
Please help me with theses math problems
givi [52]
Use distanc formula
distance betwen ponts (x1,y1) and (x2,y2) is
D=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}


distance from art to gass is
from (6,1) to (4,4)
input to find
D=\sqrt{(4-6)^{2}+(4-1)^{2}}=√13

distance from cemetary to animal is
from (3,-4) to (6,-2)
D=\sqrt{(6-3)^{2}+(-2-(-4))^{2}}=√13

how does √13 compare with√13
they are equal




compare dissacne betwen police and stadium then police and art

police to stadium is
(0,-4) to (-2,3)
D=\sqrt{(-2-0)^{2}+(3-(-4))^{2}}=√53= aprox 7.28011

police to art is
(0,-4) to (6,1)
D=\sqrt{(6-0)^{2}+(1-(-4))^{2}}=√61= aprox 7.81025



from police to art is longer by (7.81025-7.28011=0.53015) 0.53015 units


7 0
4 years ago
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