STEP 1) 7x+10x+12x= 232 STEP 2) 29x = 232 STEP 3) divide 232 by 29 STEP 4) x=8 STEP 5) 7 times 8 = 56, 10 times 8 = 80, 12 times 8 = 96. the highest score was a 96
We know that the summation of angles of a triangle is 180°. Then we find angle of C by,m∠A + m∠B + m∠C=180° 80° + 50° + m∠C=180°m∠C=180°- 80°+ 50° m∠C=50°Since we now angle of C, we can use Sine Law in solving for ACsinC/AB=sinB/ACsin50°/6 =sin50°/ACAC=6cmTherefore, AC is equal to 6cm.
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To work out the mean, add them all up and divide by however many values there are:
(18+54+42+(76x2)+46) / 6 = 52
To work out the median, order them from largest to smallest or vice versa and find the middlest value.
18, 42, 46, 54, 76 ,76
(46 + 54) / 2 = 50
The mode is the most frequently occurring number, so it would be 76.
Hope I helped!<span />
When we say that y varies <em>directly </em>with x, we mean that whatever value x is scaled up by, y will be scaled up by, too. The simplest kind of direct variation is one where y = x for all values of x. If you multiply x by some value, y must be multiplied by that same value.
More generally, though, you'll have something of the form y = kx, where the variable k here is referred to as the <em /><em>constant of proportionality.</em> Another way you can think of k is as the <em>ratio of y to x</em>.
In this problem, you're given a set of values for x and y, and you'll need to use those to find the constant of proportionality before you set up an equation relating x to y. Substituting our general equation y = kx for the given values, we have:
-5 = k(15)
To get k, simply divide both sides by 15 to obtain:
k = -5/15 = -1/3
So, our general equation, for <em>any x</em>, would be y = (-1/3)x
Xavier wants to earn more then 575 dollars a week, he will have to sale x<3,600 a week . So the answer is C
