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timofeeve [1]
3 years ago
14

Write and solve an equation to find the value of x and the missing angle measures

Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

Answer:

85 degrees

Step-by-step explanation:

its really easy just make them equal to eachother and then solve

9x + 13 = 11x-3

-11x (subtract because 11x is positive)

-2x +13 = -3

-13 (subtract because 13 is positive)

-2x = -16

divide both sides by -2

x= 8

substitute 8 for the x's and you have your answer

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An airplane has a total of 414 packets of crackers, pretzels, and peanuts available for passengers.
zhenek [66]
There is no question in Part A, but i do what i can.

Part A.
We know that:

n - number of <span>packets of crackers
p -</span> <span>number of packets of pretzels

p = 2n+9

s - </span><span>number of packets of peanuts

s = 3p = 3(2n+9) = 6n+27

So:

n+p+s=414\\\\n+(2n+9)+(6n+27)=414\\\\9n+36=414\quad|-36\\\\9n=378\quad|:9\\\\\boxed{n=42}\\\\\\&#10;p=2n+9=2\cdot42+9=\boxed{93}\\\\s=6n+27=6\cdot42+27=\boxed{279}

There are 42 </span><span>packets of crackers, 93 </span><span>packets of pretzels and 279 packets of peanuts.

Part B.

x - number of rows with exactly 2 </span><span>passengers
y </span>- number of rows with exactly 3 <span>passengers

and:

\boxed{\begin{cases}x+y=48\\2x+3y=132\end{cases}}\\\\\\&#10;\begin{cases}x+y=48\quad|\cdot2\\2x+3y=132\end{cases}\\\\\\&#10;\begin{cases}2x+2y=96\\2x+3y=132\end{cases}\\\\--------(-)\\\\2x-2x+2y-3y=96-132\\\\-y=-36\\\\\boxed{y=36}\\\\\\x+y=48\\\\x+36=48\\\\x=48-36\\\\\boxed{x=12}

There are </span><span>12 rows with exactly 2 passengers and 36 rows with exactly 3 passengers.</span>
3 0
4 years ago
Im Not completely sure what this is asking, but can someone please help answer this
solmaris [256]

Answer:

the answer is 60

Step-by-step explanation:

because 2(30)=60

7 0
3 years ago
A sequence of transformations maps ∆ABC onto ∆A″B″C″. The type of transformation that maps ∆ABC onto ∆A′B′C′ is a
krok68 [10]
If it just moved its a translation

if it got bigger or smaller its a dilation

if it flipped its a reflection

if it turned its a rotation
3 0
4 years ago
What's the estimate of 6.48 + 9.34?
Alex_Xolod [135]

Answer:

16

Step-by-step explanation:

6.48 + 9.34= 15.82 so when u round the number it 16 so the estimate is 16.

6 0
2 years ago
Because of water erosion a sandy coast can erode about five meters every five years. Suppose the coast continue to erode at the
sweet-ann [11.9K]
It would erode 50 meters
8 0
4 years ago
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