Answer:
The statements must be true are A , D , E
Step-by-step explanation:
* Lets explain the figure
- There is a triangle
- Its interior angles are x° , y° , z°
- The angle of measure w° is an exterior angle of the triangle at the
vertex whose measure is z°
- There a fact in the triangle is the measure of the exterior angle of a
triangle at one of its vertices is equal to the sum of the measures
of the two opposite interior angles to this vertex
∵ w° the measure of the exterior angle of the vertex whose measure
is z°
∵ x° , y° are the measures of the opposite interior angles of the angle
whose measure is z°
∴ w° = x° + y°
∴ w° > x°
∴ w° > y°
* Lets find the statements must be true
# w > x ⇒ A
# x + y = w ⇒ D
# w > y ⇒ E
Inbetween each term, you are multiply by 4.
10 x 4 = 40
40 x 4 = 160
160 x 4 = 640
640 x 4 = 2560
Your next numbers are 640 & 2560.
hope this helps
<em>*Distribute*</em>
3x+6+2x-8=x-3x-9
<em>*Combine like terms*</em>
5x-2=-2x-9
<em>*Add 2x to both sides*</em>
7x-2=-9
<em>*Add 2 to both sides*</em>
7x=-7
<em>*Divide both sides by 7*</em>
x=-1
Hope this helps!!
Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).



Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is



We know that,




Divide both sides by 9.



Therefore, the value of y is 12.
Perimeter = 304cm (2xlength + 2xwidth)
length = 95cm
total length of painting = 95x2 = 190cm
total width of painting = 304-190 = 114cm
width = 114 divided by 2 = 57cm