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m_a_m_a [10]
3 years ago
12

Find the value of x.

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

\large \mathfrak{Solution : }

The given pair of angles are vertical opposite angle pair so, they are equal. i.e

  • (x + 90)\degree = 4x\degree

  • (4x - x) \degree= 90\degree

  • 3x\degree = 90\degree

  • x\degree =  \dfrac{90\degree}{3\degree}

  • x\degree = 30\degree
lianna [129]3 years ago
7 0

Answer:

Step-by-step explanation:

     4x = x+90 ( being vertically opposite angles )

or,  4x - x = 90

or,  3x = 90

or, x = 90/3

or, x = 30

∴ x = 30

4x = 4*30 = 120

x + 90 = 30 + 90 = 120

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· Amanda has $210 in her school lunch account. She spends $35 each week on school lunches. The
tigry1 [53]

Answer:

(See step-by-step)

Step-by-step explanation:

Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.

The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.  

The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).  

3 0
3 years ago
-3(x - 2) - 2x + 4x^2
Fantom [35]

Answer:

-6x+6+4x^2

Step-by-step explanation:

Distribute the -3

-3(x-2)= -3x+6

Combine like terms

<u>-3x</u>+6<u>-2x</u>+4x^2

-6x+6+4x^2

8 0
3 years ago
PLEASE HELP! MIDDLE SCHOOL MATH! The dot plot below shows the number of baskets made by Elena over 12 practice sessions. What is
aleksklad [387]

Answer:

I suck at math so sorry

8 0
3 years ago
Read 2 more answers
In Exercises 7–10, graph the function, and label its vertex and y-intercept.
yaroslaw [1]

Answer:

#7: Vertex is (2,-6)

     y-intercept is (0,6)

#8: Vertex is (-2,-29)

      y-intercept is (0,-9)

#9: Vertex is (-1,1)

      y-intercept is (0,-5)

#10: Vertex is (2,20)

       y-intercept is (0,-8)

Step-by-step explanation:

Graphs are in the picture below

5 0
3 years ago
What is (x − 3)(x − 5) = 35
JulijaS [17]

Answer:

x=10  x=-2

Step-by-step explanation:

(x − 3)(x − 5) = 35

FOIL

x^2 -5x-3x+15 = 35

Combine like terms

x^2 -8x+15 = 35

Subtract 35 from each side

x^2 -8x+15-35 = 35-35

x^2 -8x-20 =0

Factor

What 2 numbers multiply to -20 and add to -8

-10*2 = -20

-10 +2 = -8

(x-10)(x+2) =0

Using the zero product property

x-10 =0  x+2 = 0

x=10  x=-2

6 0
3 years ago
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