How do u do this promble

Mathematics

1 answer:

kupik [55]3 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

The total measures of a circle must add up to 360°. In the diagram given there are two angles that are not given, however, both of these should be equal to each other. That means that the sum of the other two angles ('5x - 5' and 93°) must be equal to the other angle of the same measure (138°):

5x - 5 + 93 = 138

Combine like terms: 5x + 88 = 138

Subtract 88 from both sides: 5x + 88 - 88 = 138 - 88 or 5x = 50

Divide by 5: 5x/5 = 50/5 or x = 10

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The table shows a linear function. <br><br> Which equation represents the function.

mote1985 [20]

Answer:

$\large\boxed{f(x)=\dfrac{3}{2}x-1}$

Step-by-step explanation:

$\text{The slope-intercept formula:}\\\\y=mx+b\\\\m\ -\ slope\\b\ -\ y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we hve two points (0, -1) and (2, 2). Substitute:}\\\\m=\dfrac{2-(-1)}{2-0}=\dfrac{3}{2}$

$\text{Therefore the equation is}\ f(x)=\dfrac{3}{2}x-1\\\\\text{Check for the point (4, 5):}\\\\f(4)=\dfrac{3}{2}(4)-1=(3)(2)-1=6-1=5\qquad\ CORRECT$