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NikAS [45]
3 years ago
12

Solve each system using substitution.1. 4x= 3y-2 ; 18= 3x+y2. 3x+2y= 23 ; 1/2x-4= y

Mathematics
1 answer:
Dovator [93]3 years ago
5 0
1. 4x= 3(18-3x) - 2
4x=54-9x-2
4x+9x=52
13x=52
x=4

substitute 4 for x
4(4)=3y-2
16=3y-2
16 + 2 = 3y
y=6

So your x would be 4 and y would be 6

to check your solution substitute x and y
4(4)=3(6) - 2
16 = 16 
Therefore that's the final answer for number 1. 
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In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t
Zepler [3.9K]

Answer:

<em>Approximate length of the side adjacent to ∠C is </em><em>7.66 inches.</em>

Step-by-step explanation:

*The appropriate triangle is attached below.

From the diagram, the right triangle ABC has

  1. Hypotenuse = \overline{AC}=10\ inch
  2. m\angle C=40^{\circ}

The side adjacent to angle C is BC. We can get the length of BC by applying trigonometric operations.

We know that,

\cos \theta =\dfrac{b}{h}

Putting the values,

\Rightarrow \cos 40 =\dfrac{BC}{10}

\Rightarrow BC=\cos 40 \times {10}

\Rightarrow BC=7.66\ in

6 0
3 years ago
Andrew is two years older than Beatrice, and Chris is three years younger than Beatrice.
In-s [12.5K]

Answer:

Beatrice's age is 34

Step-by-step explanation:

Beatruce = B

Andrew = B+2

Chris= B-3

B+(B+2) +(B-3 )= 67-B

3B-1 = 67-B

2B -1 = 67

2B= 68

B = 34

Beatrice is 34

Andrew is 36   (34+2)

Chris is 31 (34-3)

36+31 = 67

6 0
2 years ago
A,b,c or d please help i don’t understand this
alexira [117]

uhm the answer is D. sorry if am wrong

7 0
2 years ago
What is 7 and 1/4% of 89.75?
BlackZzzverrR [31]
6.506875 is the answer because 7.25% out of 100 is .0725 and 89.75 times that is 6.506875
3 0
3 years ago
Which fraction is equivalent to the decimal 0.15?With the line over.
melisa1 [442]

Answer:

C.

Step-by-step explanation:

divide 100 and dive 15 by 5

7 0
3 years ago
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