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Alona [7]
3 years ago
5

Please help with the figure below

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

Answer:

<1 =33

<2 = 147

<4 = 147

Step-by-step explanation:

Angle 1 equals angle 3 because they are vertical angles.  Vertical angles are opposite angles made by two intersecting lines.

<1 = <3

<1 = 33

Angle 2 and <3 are supplementary angles because they form a straight line.  The add to 180 degrees

<2 + <3 = 180  

<2 + 33 = 180

Subtract 33 from each side

<2 +33-33 = 180-33

<2 = 147

Angle 2 equals angle 4 because they are vertical angles

<2 = <4

<4 = 147

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Write an inequality from (–5) to (–1) inclusive
skad [1K]

Answer:

-5\leq x\leq -1

Step-by-step explanation:

This is a compound inequality that basically states that the X value is greater than or equal to -5, but less than or equal to -1. It is inclusive, because it includes both numbers and therefore should have an equal to sign (\leq   or \geq) instead of just less than or greater than ( < or >).

8 0
4 years ago
Find f(x) divided by g(x) please answer !
frozen [14]

Answer:

\frac{x^6(x+29)}{3(3x-8)}

Step-by-step explanation:

7 0
3 years ago
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3 0
3 years ago
george is 2 years older than sam and sam is 3 years older than alex. the total of their ages is 35. write and solve the equation
Darina [25.2K]
This breaks down into a system of equations. George will equal G, Sam will equal S and Alex will equal A.      G=S+2     S=A+3      G+S+A=35      since S=A+3, we can substitute S for (A+3). If we plug that into the G=S+2, we get G=(A+3)+2. This simplifies to G=A+5. 

our ultimate goal is to be able to substitute for two of their ages so we can solve the last equation for one age or variable. It would be easiest to solve for A. 

so far we can substitute for two variables, S=A+3.  and G=A+5

Next, we can plug this into the last equation and get 35=(A+3)+(A+5)+A
if we add like terms we get 35=3A+8. Next, we solve the equation by first subtracting 8 from each side. we then get 27=3A, then we divide each side by 3 to solve for A and get A=9.

Now we have one age, we need to find the other two. We can solve this by plugging A to the other two equations. if we do that we get S=(9)+3, or S=12. If we do it to the other equation we get G=(9)+5, or G=14 

So your final answer would be George is 14, Sam is 12, and Alex is 9.
5 0
4 years ago
100 POINTS, PLEASE HELP!
kow [346]

Step-by-step explanation:

|y – 3| − 4 ≤ −3

|y – 3| ≤ -3+4

|y – 3| ≤ 1

-1 ≤ y-3 ≤ 1

=> -1 ≤ y - 3 or y - 3 ≤ 1 (the first option)

7 0
2 years ago
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