Answer:
Step-by-step explanation:
Triangle HIJ is a right angle triangle.
From the given right angle triangle
IJ represents the hypotenuse of the right angle triangle.
With ∠J as the reference angle,
HJ represents the adjacent side of the right angle triangle.
HI represents the opposite side of the right angle triangle.
To determine IJ, we would apply Sine trigonometric ratio. It is expressed as
Sin θ = opposite side/hypotenuse. Therefore,
Sin 54 = 7/IJ
0.8090 = 7/IJ
IJ = 7/0.8090
IJ = 8.7 to the nearest tenth
Answer:
x=2
Step-by-step explanation:
We will use the secant-secant Formula:
(whole secant) x (external part) = (whole secant) x (external part)
(1+x+4) * (x+4) = (11+x+1) * (x+1)
Combine like terms
(x+5) (x+4) = (x+12) (x+1)
FOIL
x^2 + 4x+5x + 20 = x^2 + x+ 12x + 12
Combine like terms
x^2 + 9 x + 20 = x^2 + 13 x + 12
Bring everything to the left
x^2 + 9 x + 20- (x^2 + 13 x + 12) = x^2 + 13 x + 12-( x^2 + 13 x + 12)
x^2 + 9 x + 20- (x^2 + 13 x + 12) =0
Distribute the minus sign
x^2 + 9 x + 20- x^2 - 13 x - 12 =0
Combine like terms
-4x +8 = 0
Subtract 8 from each side
-4x+8-8=0-8
-4x=-8
Divide each side by -4
-4x/-4 = -8/-4
x=2
The Answer Of How Many Muffins And Cupcakes Are Left Is 121
Answer:
100 square feet
Step-by-step explanation:
We need to create an equation in order to solve this problem.
Let x = the smallest number
x+1 = next number
x+2 the following number
x+3
x+4
x+5
x+6
So, we add those.
x+x+1+x+2+x+3+x+4+x+5+x+6=105
7x+21=105
7x = 84
x = 12
So the numbers are
12,13,14,15,16,17,18
