Answer:
49/4
Step-by-step explanation:
x^2 + 7x = 4
Take the coefficient of x
7
Divide by 2
7/2
Square it
(7/2) ^2 = 49/4
Add this to each side
x^2 + 7x +49/4= 4+49/4
Well 63 divide by 9 is 7 but 9 divide by 63 is .14
You do (12/300)x100 and it is going to give you the a answer
Answer:
Step-by-step explanation:
Remark
The problem asks you to identify the triangles. They are similar. The reason they are similar is by AA. That means that 2 of the angles are identified as equal in each triangle.
Proof
Both triangles contain a right angle....................That's given.
The mirror has an interesting property. It is stated as the angle of incidence = the angle of reflection. That property is marked by the lines hitting the mirror towards your right. If you do not know what incidence and reflection mean, just notice that the angles are marked as equal and call it given.
The base angles are equal ....................................Given
Here it is more formally
B and D are right angles ..................... Given
<AMB = <CMD Property of a mirror
Triangle AMB similar Triangle CMD AA in 1 triangle = AA in the other.
3a. Jackson's gross pay for 40 hours is
(40 h)×($12.20/h) = $488.00
3b. An equation for Jackson's pay could be
372.10 = h×12.20
This can be solved for h by dividing by 12.20
372.10/12.20 = h = 30.5
Jackson worked 30.5 hours last week.
3c. The total of hours shown is
(8) + (7 1/4) + (8 1/2) = (8 +7 +8) +(0.25 +0.50) = 23.75
The number of hours missing is the difference between this number and the hours found in part (b).
30.50 - 23.75 = 6.75
There are 6 3/4 hours missing from Jackson's time sheet for last week. This is less than a full day's work, so seems reasonable.
_____
Of course, you know the decimal - fraction conversions:
1/4 = 0.25
1/2 = 0.50
3/4 = 0.75
