Answer:
Step-by-step explanation:
∠A=∠B
4X+7=5X-3
X=7+3=10
5*10-3=50-3=47
Answer:
| -7.8. | = 7.8
Step-by-step explanation:
The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value.

Take the logarithm of both sides and expand the right hand side:




Now take the derivative of both sides with respect to
:



I'd stop there, but you could condense the right side a bit to get


Answer:
Step-by-step explanation:
Let x be the total no. of strawberries, Let Sue be "S", Let Jim be "J" and Dan be "D"
S = 2x/7
J = 54+S -> J = 54+(2x/7)
D = 78
J+D = 5x/7
54+(2x/7)+78 = 5x/7
132+2x/7 = 5x/7
132 = (5x/7)-(2x/7)
132 = 3x/7
132*7 = 3x
924/3 = x
x = 308.
Therefore, there were initially 308 strawberries in the basket.
Of which; Sue had two-sevenths: 88, Jim had 142 and Dan had 78
To verify our answer, add these to see if we get 308
S+J+D = 308
88 + 142 + 78 = 308
Answer:
5. x = 17
7. x = 2
Step-by-step explanation:
The applicable relation is, "the product of the near distance to the circle and the far distance to the circle is the same for each secant." Distance is measured from the point where the secants intersect.
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<h3>5.</h3>
Using the rule, we have ...
7(7+x) = 8(8+13)
7+x = 24 . . . . . . . . . divide by 7
x = 17 . . . . . . . . . . subtract 7
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<h3>7.</h3>
The same rule applies.
7(7 +6x -1) = 9(9 +x +3)
42x +42 = 9x +108 . . . . . . simplify
33x = 66 . . . . . . . . . . . . . subtract 9x+42
x = 2 . . . . . . . . . . . . . . divide by 33