You did not attach any
picture to solve this problem. We cannot calculate for the value W’X’ without
the correct illustrations. However, I think I found the correct one (see
attached), please attach it next time.
So the first thing we have to
do is to calculate for the dilation factor. Taking point G as the reference
point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5
while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor
to use is:
dilation factor = 1.5 / (1.5
+ 7.5) = 1.5 / 9 = 1/6
Since WX has an initial
measure of 3 units, therefore the measure of W’X’ is:
W’X’ = 3 units * (1/6) = 0.5
units
Answer:
<span>0.5 units</span>
Answer:
2 parts white paint
Step-by-step explanation:
Blue : white
3 : 1
We use 6 parts blue
3 *2 =6
So multiply each part by 2
Blue : white
3*2 : 1*2
6 : 2
She uses 2 parts white paint
Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
Let x=3.77777777...
10x=37.777777777...
9x=10x-x=34
9x=34 so x=34/9=3 7/9
