Answer:
Length of arc AD = 15.7 cm
Step-by-step explanation:
Length of arc = 
Here, θ = Central angle subtended by the arc
r = radius of the circle
From the picture attached,
Central angle subtended by arc AD = 360° - (180° + 66.4°)
= 113.6°
Length of arc AD = 
= 
= 15.655 cm
≈ 15.7 cm
Length of arc AD = 15.7 cm
Answer: 15/24
Step-by-step explanation: 6x4=24 which is the denominator and 5x3=15 which is the numerator
Answer:
<u>Figure A</u>
Step-by-step explanation:
See the attached figure which represents the given options
We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.
As shown: point A will map to point L, point R will map to point P and point Q will map to point K.
we will check the options:
<u>Figure A</u>: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.
<u>Figure B: </u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.
<u>Figure C:</u> the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.
<u>Figure D:</u> the triangle ARQ and LPK can be mapped to each other using a rotation about point A.
So, the answer is figure A
<u>The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.</u>
y = -5x + 24
y = 4x - 21
Since both of these equations are equal to Y, theyre equal to each other.
So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.
-5x + 24 = 4x - 21
Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:
-5x + 24 - 24 = 4x - 21 - 24
-5x = 4x - 45
Now we subtract 4x from both sides so the 4x shift to the other side
-5x - 4x = 4x - 4x - 45
-9x = -45
Finally divide both sides by -9 so x is by itself
(-9)÷(-9x) = -(45)÷(-9)
x = 5
Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.
Now apply x = 5 to either of the initial equations to find the value of Y
y = -5x + 24 or y = 4x - 21
(I'll do both but u only need one)
y = -5(5) + 24
y = -25 + 24
y = -1
y = 4(5) - 21
y = 20 - 21
y = -1
Either way, X is 5 and Y is -1
Answer (5, -1)
<h3>
Answer: 5</h3>
Explanation:
This is something you could do by trial and error.
The visible numbers are 1,2,3,4,6 which multiply to 144.
Another approach is to notice that 5 is not a factor of 144, so it must be the hidden value not part of the items multiplied.
Every other number 1,2,3,4,6 is a factor of 144.
1*144 = 144
2*72 = 144
3*48 = 144
4*36 = 144
6*24 = 144
