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MrRissso [65]
3 years ago
5

Find the supplement of the given angle. Then draw the two angles as linear pairs. Label each angle with its measure.

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
The supplement angle of angle ABC is 108 degrees because, supplement angles mean angles that add up each other to 180 degrees so 180-72=108

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Beth’s father asked her to buy party favors for her little brother’s birthday party. Party hats cost $1.60 each, balloons cost $
Studentka2010 [4]
$36
I think
$0.89 rounds up to $1.00
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5 0
3 years ago
Help please !!!!! asap
AnnyKZ [126]
The answer: m∡BCD = 130° .
_____________________________________
Explanation:
______________________________
m∡BCD = 9x - 5 = our answer.
_____________________________
Note: (9x - 5) + (m∡C IN Δ  ACB)= 180 ;
____________________________
Reason: all angles on straight line add up to 180.
___________________________
Note: In Δ ACB; m∡A + m∡B + m∡c = 180.
_________________________________________
Reason: All three angles in any triangle add up to 180.
__________________________________________
Given  Δ ACB, we are given:
_____________
m∡C= ?
m∡B = (4x + 5)
m∡A = 65
_____________________
So, given  Δ ACB; m∡A + m∡B + m∡c = 180;
 →Plug in our known values and rewrite:
___________________________________
Given  Δ ACB; 65 + 4x + 5 + (m∡c) = 180;
  →Simplify, and rewrite:
___________________________________
Given  Δ ACB; 4x + 70 + (m∡c) = 180;
  →Subtract "70" from each side of the equation; and rewrite:
___________________________________
Given  Δ ACB; 4x + (m∡C) = 110;
   →Subtract "4x" from EACH SIDE of the equation; to isolate: "(m∡c)" on one side of the equation; and "solve in terms of "(m∡C)" ;
______________________________________________
Given Δ ACB' m∡C = 110 - 4x ;
__________________________________________
So, we know that: (110 - 4x) + (9x - 5) = 180; (since all angles on a straight line add up to 180.
____________________
We can solve for "x".
____________________
(110 - 4x) + (9x - 5) = 180;
________________________
Rewrite as: 
___________
(110 - 4x) + 1(9x - 5) = 180 ;  (Note: there is an implied coefficient of "1"; since anything multiplied by "1" equals that same value).
_______________________
Note the "distributive property of multiplication": 
_________________
 a*(b+c) = ab + ac ; AND:
 a*(b - c) = ab - ac .
_______________________
So, +1(9x - 5) = (+1*9x) - (+1*5) = 9x - 5 ;
__________________________
So we can rewrite:
___________________
(110 - 4x) + (9x - 5) = 180 ; as:
________________________
110 - 4x + 9x - 5 = 180 ;  We can simplify this by combining "like terms" on                                         the "left-hand side" of the equation:
_________________________________________________
110 - 5 = 105 ;
-4x + 9x = 5x; 
______________
So, rewrite as: 5x + 105 = 180;  Subtract "105" from EACH side; to get:
_____________________________________
 5x  = 75 ; Now, divide each side of the equation by "5"; 
              to get: x = 15.
_____________________________________________
Now, we want to know: m∡BCD; which equals:
_____________________________________________
 9x - 5 ;  let us substitute "15" for "x"; and solve:
______________________
9x - 5 = 9*(15) - 5 = 135 - 5 = 130.
_____________________________
The answer: m∡BCD = 130°
________________________
6 0
3 years ago
A train takes 1.5 hours to travel 525 km. Calculate the speed of the train in kilometers per hour.
kow [346]

Answer:

1.5 hours to 525 km

Speed in km/h=

525 \div 1.5 = 350 \: kmph

Step-by-step explanation:

XD

8 0
3 years ago
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The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3x + 1.
inna [77]
False.
y= 3(1)+1= 4
y= 3(2)+1=7 not 5
y= 3(3)+1=10 not 6
4 0
3 years ago
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Tom swims a 1/2 kilometers every 1/4 hour. How far will he swim in one hour.​
fgiga [73]

Answer:

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Step-by-step explanation:

every 1 kilometer is a 1/2 hour. double that and you get 2

8 0
3 years ago
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