Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent
Step-by-step explanation:
The answer would be 2x1=x so x would be 2
Step-by-step explanation:
Answer:
<h2>The ratios will be equal to the scale factor.</h2>
Step-by-step explanation:
Dilation transforms an image to a different size.
In Dilation, the shape of the image remain same, but the size of the figure change as per the scale of the Dilation.
As per example, if the scale factor of Dilation is 2, then the area of the dilated figure = 
.
Similarly, the sides increase or decrease as per the scale factor.
.
Answer:
x=0 x=-5 x=2
Step-by-step explanation:
4x3 + 12x2 = 40x
Subtract 40x from each side
4x3 + 12x2 - 40x=0
Factor out 4x from each term
4x( x^2 +3x-10) =0
Factor the term insdie the parentheses
What 2 numbers multiply to -10 and add to 3
5*-2 =-10
5+-2 =3
We have (x+5) (x-2)
Replace that in the equation
4x ( x+5) (x-2) =0
Using the zero product property
4x= 0 x+5 =0 x-2 =0
x=0 x=-5 x=2
I assume you're asked to solve
4 cos²(<em>x</em>) - 7 cos(<em>x</em>) + 3 = 0
Factor the left side:
(4 cos(<em>x</em>) - 3) (cos(<em>x</em>) - 1) = 0
Then either
4 cos(<em>x</em>) - 3 = 0 <u>or</u> cos(<em>x</em>) - 1 = 0
cos(<em>x</em>) = 3/4 <u>or</u> cos(<em>x</em>) = 1
From the first case, we get
<em>x</em> = cos⁻¹(3/4) + 2<em>nπ</em> <u>or</u> <em>x</em> = -cos⁻¹(3/4) + 2<em>nπ</em>
and from the second,
<em>x</em> = <em>nπ</em>
where <em>n</em> is any integer.
