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nirvana33 [79]
3 years ago
5

Need help with this math problem

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0

z = 37°

Step-by-step explanation:

The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle

In this case the sum of z and z+4 will be equal to z+41

Writing mathematically

z + z+ 4 = z + 41\\2z+4 = z + 41\\2z -z = 41 -4\\z = 37

Hence

z = 37°

Keywords: Angles, Triangles

Learn more about angles at:

  • brainly.com/question/10800566
  • brainly.com/question/10808021

#LearnwithBrainly

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If f(x)=x+8 and g(x)=-4x-3 find (f+g)(x)
nydimaria [60]

Answer:

for this case we have the following functions:

f (x) = x + 8

g (x) = -4x - 3

Subtracting the functions we have:

(f - g) (x) = f (x) - g (x)

(f - g) (x) = (x + 8) - (-4x - 3)

Rewriting:

(f - g) (x) = x + 8 + 4x + 3

(f - g) (x) = 5x + 11

Answer:

D. (f - g) (x) = 5x + 11

7 0
3 years ago
(х-y)²-3(x-y) how do you factorise this equation?​
Kazeer [188]

Answer:

(x-y)(x-y-3)

Step-by-step explanation:

(x-y)² - 3(x-y)

take (x-y) common,

(x-y)(x-y-3)

4 0
3 years ago
The passage states that the farm managers react to
Neporo4naja [7]

The passage indicates that the farm's managers reacted to Nawab's receipt of a motorcycle with disgust. The correct answer is A.

Given a passage shown below in the attached pictures.

Option A is the best answer. The passage says that Nawab's new motorcycle led to "the disgust of the ranchers" (line 7 ).

Options other than A are B, C, and D are incorrect because the passage specifically states that Nawab's new motorcycle resulted in "the disgust of the ranchers", not happiness. their happiness (option B), their jealousy (option C) or their indifference (option D). The passage is therefore given that the managers of the farm reacted to Nawab's receipt of a motorcycle with disgust.

Learn more about the passage from here brainly.com/question/12555695

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8 0
2 years ago
Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

4x+3y=12

3y=-4x+12

y=-4x/3+12/3

So a line perpendicular to the bank will be:

y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

(3x-1)/4=(-4x+12)/3  cross multiply

3(3x-1)=4(-4x+12)

9x-3=-16x+48

25x=51

x=51/25

x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

y=1.28

So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




8 0
2 years ago
How do you factor this in the form (x+b)(x+c)
faust18 [17]
So you have your polynomial. To factor this out, you need to find the factors of -45 that will add up to 3. These two factors would be -5 and 8. So, you have factored your polynomial! (x-5)(x+8). If you are still unsure, simply use the FOIL method to check and see if you get the same polynomial back. Hope this helps!
7 0
3 years ago
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