One days trip of to school from home and back home from school is 2/3 of a mile. We want to know how far it is to school from her house.
To solve this, we simply need to take half of the total distance (2/3)

Next, we need to turn the 2 into a fraction. Every whole number can be made into a fraction by putting it over 1.

Because we are dividing, we need to invert the second fraction and then multiply.

Next, we multiply the top of the first fraction by the top of the second and the bottom of the first fraction by the bottom of the second.

Once you reduce, you get:
<span>Triangle RST was dilated by a scale factor of 1/2
Given: </span><span>triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units.
Pre-image:
measure of pre-image * scale factor = measure of resulting image
measure of pre-image = measure of resulting image / scale factor
measure of pre-image = 8 / 1/2
measure of pre-image = 8 * 2/1
measure of pre-image = 16 units.</span>
Answer:
x = 2 for a, c, and f
Step-by-step explanation:
a)
6(2x - 1) = 4 + 7x
12x - 6 = 4 + 7x
5x = 10
x = 2
b)
10 - 3x = -2(x + 4)
10 - 3x = -2x - 8
18 = x
c)
-3(7 - 2x) = -1 - 4x
-21 + 6x = -1 - 4x
10x = 20
x = 2
d)
7x + 12 = 2(4x - 5)
7x + 12 = 8x - 10
22 = x
e)
-5(x + 1) = -4 - 7x
-5x - 5 = -4 - 7x
2x = 1
x = 1/2
f)
8x + 11 = 9(5 - x)
8x + 11 = 45 - 9x
17x = 45 - 11
17x = 34
x = 2
Answer:
x=15
Step-by-step explanation:
4x+28+x+19+3x+13=180
8x+60=18
x=15
all angles of a triangle = 180