In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other.
Let's take the lengths 5x-12 and x+20 and set them equal to each other.
5x - 12 = x + 20
Combine like terms by moving them over to their respective sides.
Subtract x from both sides of the equation.
4x - 12 = 20
Add 12 to both sides of the equation.
4x = 32
Divide both sides by 4.
x = 8
Check your answer by substituting.
5x - 12 = x + 20
5(8) - 12 = 8 + 20
40 - 12 = 28
28 = 28
Solution: x = 8
Answer:
In bold.
Step-by-step explanation:
6/6 = 9/a
So a = 9.
6/c = a/4.5
6/c = 9/4.5 = 2
So c = 3.
By similar triangles:
d/5 = 6/ (6+6+3)
d/5 = 6/15 = 2/5
So d = 2.
Also by similar triangles
b/5 = 12/15 = 4/5
So b = 4.
Racket : 94
balls : 12.50
warm ups : 34
shorts : 19.95
shoes : 44.50
total with tax : 204.95 + .05(204.95) = 204.95 + 10.25 = 215.20
20 per lesson for 12 lessons : 20 * 12 = 240
12 miles 1 way....thats 24 miles round trip, at 0.42 per mile : 24(0.42) =
10.08.....lessons and mileage : 240 + 10.08 = 250.08
for a total of : 215.20 + 250.08 = 465.28 <==
Answer:
13 ug
Step-by-step explanation:
Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared
Answer:
Point A is translated to A" by T(0, -6), since A has been shifted 6 units down
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: A.(o,-6). Ra,270
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Step-by-step explanation:
