Answer:
x = 4
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
5x+4−4=24−4
5x=20
Step 2: Divide both sides by 5.
5x
5
=
20
5
x=4
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According to the vertical angle theorem when two lines intersects each other, the vertical angles that are formed are congruent to each other.
So, angle XWY is 74 degrees.
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F(g(x))= -4(10x-6) + 7
f(g(x))= -40x + 24 +7
f(g(x))= -40x +31
Answer:
Ques 1) 1440°
Ques 2) 4000
Ques 3) 33
Step-by-step explanation:
Ques 1)
The sum of the measures of the angles in degrees of a polygon with 'n' sides is given by: 180×(n - 2).
Now we have to find the sum of the measures the angles of a polygon with 10 sides.
i.e. n=10
Hence the value of the expression 180×(n-2) when n=10 is given by:
180×(10-2)=180×8=1440.
Hence, the sum of measure of the angles of a polygon with 10 sides is: 1440°.
Ques 2)
The Expression 500v gives the number of points a player earns for completing v voyages in video game.
We are asked to find the number of points earned for completing 8 voyages.
i.e. v=8 the value of 500v will be 500×8=4000.
Hence, 4000 points are earned for completing 8 voyages.
Ques 3)
we have to find the value of the question as given in the figure:
7x+y+16 for x=2 and y=3.
Hence, we find the value of the expression:
7×2+3+16=33.
Hence, the value of the expression is 33.
Answer: Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.
Step-by-step explanation:
To find the mean for corrective lenses, add up all of the numbers and divide by the number of data points.
Doctor A's mean:
Add up the data points: 745+726+769+765+756+742+747+748+770+738 = 7516. Count the number of data points to get 10. Divide 7516 by 10. 7516/10 = <em>751.6</em>.
Doctor B's mean:
Add up the data points: 763+736+735+759+748+756+765+761+768+761 = 7552. Divide by 10. 7552/10 = <em>755.2</em>
Difference:
755.2-751.6 = <em>3.6</em>
