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N76 [4]
3 years ago
5

Find the value of each variable, y = Z=

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
ANSWER:
y = 119
z = 66

EXPLANATION:
z = 180° - 114° = 66°
y = 360° - (95° + 81° + 66°) = 119°

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bryan is laying down sod in his yard to grow a new lawn.each piede of sod is a 1 foot by 1 foot square. How many pieces of sod w
siniylev [52]
Sod=1*1
to cover =30*14
to cover=420
to cover divided by one piece
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3 0
3 years ago
AB = 44 + 3xBC = 33 + yCD = 64 − xAD = 48 − 2yQuadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruen
Otrada [13]

The lengths (in centimeters) of the opposite side pairs are 59 cm , 38 cm. Option C) is the correct answer.

<u>Step-by-step explanation</u>:

<u>step 1</u> :

Given that,

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.

<u>step 2</u> :

The opposite sides are AB and CD respectively.

The another opposite sides are BC and AD respectively.

<u>step 3</u> :

If both pairs of opposite sides are congruent, then

AB = CD

44+3x = 64-x

3x+x = 64-44

4x = 20

x = 5

<u>step 4</u> :

BC = AD

33+y = 48-2y

y+2y = 48-33

3y = 15

y = 5

<u>step 5</u> :

Subsitute x=5 and y=5 in any of the given sides,

CD = 64-x = 64-5 = 59

∴ CD = 59 cm

BC = 33+y = 33+5 = 38

∴ BC = 38 cm

The lengths of the opposite side pairs are 59 cm , 38 cm.

3 0
3 years ago
A group of students have the following hose numbers : 29, 39, 59, and 79. Randy has a composite house number. What is Randy’s ho
Julli [10]
I beliebe its 789eiwowp
7 0
3 years ago
Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and
sp2606 [1]

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Step-by-step explanation:

Cost of almonds per pound = $10

Cost of roasted pistachios = $12

Total amount spent = $70

Weight of nuts = 6.3

Let,

Weight of almonds = x

Weight of roasted pistachios = y

According to given statement;

x+y=6.3   Eqn 1

10x+12y=70   Eqn 2

Multiplying Eqn 1 by 10

10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2;

(10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7

Dividing both sides by 2

\frac{2y}{2}=\frac{7}{2}\\y=3.5

Putting y=3.5 in Eqn 1

x+3.5=6.3\\x=6.3-3.5\\x=2.8

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.

Keywords: linear equations, elimination method

Learn more about elimination method at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

8 0
2 years ago
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co
pishuonlain [190]
Let the amount of the first brand be x, and let the amount of the second brand be y.
0.09x + 0.14y = 240 * 0.13 .................(1)
x + y = 240 ..............(2)
y = 240 - x .......................(3)
Plugging the value for y from equation (3) into equation (1), we get:
0.09x+0.14(240-x)=240\times0.13 ...............(4)
Equation (4) simplifies to:
-0.05x = -2.4
giving the value for the required amount of 9% vinegar as 48 ml and the required amount of 14% vinegar as 240 - 48 = 192 ml.
7 0
2 years ago
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