Answer:
dilation is an enlargment and the scale factor is 2
Step-by-step explanation:
All triangles are similar.
.. x/3 = 27/x
.. x^2 = 81
.. x = 9
.. y = √(x^2 -3^2) = √72
.. y = 6√2
Answer:
yeah it is smaller
one has .16 and the other has .6 and if u take out the six from the 16 then it would be 32.1 and 32.6
Answer:
$50
Step-by-step explanation:
To find the total amount that Palmer spent, you would first add up all his purchases. This can be represented by adding $90 + $110 + $100, which adds up to $300.
To find out how much Palmer has left, just subtract $300 from his initial $350 ($350 - $300 = $50.) This gives you a final answer of Palmer having $50 in his bank account.
Answer:
20) MAD = 60°
21) <LPN = 57°
22) Second and third images, XY is the tangent of circle Z
23) x = 11.2
Step-by-step explanation:
20)
<B = <C
11x - 3 = 8x + 15
3x = 18
x = 3
so
<B = <C = 11(3) - 3 = 33 - 3 = 30
mAD = 2(30) = 60
21)
a) <LPN = 1/2(360 - 102 - 144)
= 1/2(114)
= 57°
22)
The tangent to a circle is perpendicular to the radius at the point of tangency.
a)
(7+5)^2 = 7^2 + 10^2
(12)^2 = 49 + 100
144 ≠ 149
First image, XY is not tangent of circle Z
b)
20^2 = 12^2 + (8+8)^2
400 = 144 + 256
400 = 400
Second image, XY is the tangent of circle Z
c)
(11.7 +7.8)^2 = 11.7^2 + 15.6^2
380.25 = 136.89 + 243.36
380.25 = 380.25
Third image, XY is the tangent of circle Z
23)
x^2 = (8.4+5.6)^2 - (8.4)^2
x^2 = 196 - 70.56
x^2 = 125.44
x = 11.2
