Answer: The value of x= 18
Step-by-step explanation:
Given: In triangle EFG, angle E equals 8x-16, angle F equals x+8, and angle G equals 2x-10.
The sum of all angles of a triangle is 180°.
Therefore, in triangle EFG
∠E + ∠F +∠G= 180°
⇒ 8x-16 +x+8+ 2x-10 = 180
⇒ 11x-18= 180
⇒ 11x = 180+18
⇒11x=198
⇒ x= 18 [Divide both sides by 11]
Hence, the value of x= 18
Slope point form :
To put in slope point form, label any of the points as either X1,y1 and X and y, then plug in those values into the following equation form.
Y - y1 = m(X-X1)
But before, we must solve for the m value or slope.
M = y2-y1/x2-X1
M = 5/2 - -1/2 / -1/2 - 3/2.
M = 5/2 + 1/2 / -(1/2+3/2)
M = 6/2 / -(4/2)
M = 3/-2
Now we can place it in slope point and also in standard form of a line.
Y-y1 = m(X -X1)
Y - -1/2 = -3/2(X - 3/2)
Y + 1/2 = -3/2(X - 3/2)
This is in slope point form.
Y + 1/2 = -3/2x + 9/4
Y + 1/2 - 1/2 = -3/2x + 9/4 - 1/2
1/2 = 2/4
Y = -3/2x + 7/4
-3/2x = -6/4x
Y = -6/4x + 7/4
Y • 4 = 4( -6/4 X + 7/4)
4y = -6x + 7
4y + 6x = -6x + 6x +7
6x + 4y = 7
This is in standard form. If you have any questions of the steps just ask.
Assuming your question can be rewritten as:
"What number is 10% greater than 7,962"
7962 * 110% = itself + 10%
= 7962 * 1.10 <----- (1.10 = 110%)
= 8758.2
Answer:
1 / 8
Step-by-step explanation:
I'm assuming that is meant to be 3/4 and 1/6...
Area = Length * Width
A = 3/4 * 1/6
A = 3 / 24
simplify the fraction to get your answer
Answer:
4 and 5
Step-by-step explanation:
Make a system of equations:
x+y=9
x-y=-1
x=9-y
9-y-y=-1
9-2y=-1
-2y=-10
y=5
Since y=5, x must be 4 since 4+5=9 and 4-5=-1
Hope this helped!
