We know that
angle F=180°-(40+87)°=53°
applying the law of sines
EF/sin G=EG/sin F
EF=x
EG=13 cm
G=87°
F=53°
so
x/sin 87°=13/sin 53°---------> x=sin 87*(13/sin 53°)-------> x=16.3 cm
The answer is
x=16.3 cm
<h2>Verbal Phrase to Mathematical Phrase</h2><h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Let that number be .
The quotient of a number and is .
"Increased" is just another term for "plus (+)" so increased by The quotient of a number and is
And it tells us that it is so it must be
Hello!
The problem has asked that we write a
point-slope
equation of the line in the image above.
Point-Slope Form uses the following formula:
y –
= m(x –
)
In this case, M represents the
slope while
and
represent the
corresponding X and Y values of any given point on the line.
We are given that the slope of the line is -
. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that
is equal to
6 and
is equal to
2. Now insert all known values into the point-slope formula above:
y – 2 = -
(x – 6)
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that
the answer is C.
I hope this helps!
12x - 8y = -12
6x + 4y = -30
Multiply the 2nd equation by 2, to make the Y coefficients opposite:
6x + 4y = -30 x 2 = 12x + 8y = -60
Now add the two equations:
12x -8y = -12 + 12x +8y = -60
= 24x = -72
Divide bothe sides by 24 to solve for x:
x = -72/24
x = -3
Now replace x with -3 in the first equation to solve for y:
12(-3) - 8y = -12
-36 - 8y = -12
Add 36 to each side:
-8y = 24
Divide both sides by -8 to solve for y:
y = 24 / -8
y = -3
X = -3 and y = -3
(-3,-3)
Answer:
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Step-by-step explanation:
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