9514 1404 393
Answer:
WX = 33
(x, y) = (2, 10)
Step-by-step explanation:
The hash marks tell you WX is a midline, so has the measure of the average of the two bases.
WX = (PQ +SR)/2 = (27 +39)/2 = 66/2
WX = 33
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The hash marks also tell you ...
PW = WS
y +4x = 18 . . . . . . substitute the given expressions
and also
QX = XR
2y +x = 22 . . . . . substitute the given expressions
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If you solve the first equation for y, you get ...
y = 18 -4x
Substituting that into the second equation gives ...
2(18-4x) +x = 22
36 -7x = 22 . . . . . . . simplify
14 = 7x . . . . . . . . . . . add 7x-22 to both sides
2 = x . . . . . . . . . . . . divide by 7
y = 18 -4(2) = 10 . . . find y using the above relation
The values of x and y are 2 and 10, respectively.
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My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.
Hello there! Ashton needs 48 more dollars.
Well, to start, you want to find 60% of 120. To do this, you first have to convert 60% into a decimal by dividing it by 100.
60/100 = 0.6
Next, multiply 0.6 by your total needed, 120, to finish finding 60% of 120.
120 x 0.6 = 72.
So he already has 72 dollars, but how many more does he need? You can find this by subtracting 72 from 120.
120 - 72 = 48.
So, this means he needs 48 more dollars. I hope this helps and have a great rest of your day! Please let me know if you need further help with this question. :)
The completed factor is (7x+2) (x+5)
Since the angle
100
° is in the second quadrant, the reference angle formula is A
r
=
180
°
−
A
c. A
r
=
180
°
−
100
°
The reference angle is A
r
=
80
°
.
80
°