The value of a is (c) 86
<h3>How to solve for a?</h3>
The given parameter is:
Angle C = 86
By vertical angle theorem, we have:
Angle A = Angle C = 86
This implies that:
Angle A = 86
The arc A subtends angle A
This means that:
Arc A = 86
Hence, the value of a is (c) 86
Read more about angles at:
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Answer:
-3·m^12·n^6
Step-by-step explanation:
We assume you intend ...
(-24·m^5·n^4)/(8·m^-7·n^-2)
= (-24/8)·m^(5-(-7))·n^(4-(-2))
= -3·m^12·n^6
_____
If you really intend what you have written, then it simplifies to ...
(-24·m^5·n^4/8)·m^-7·n^-2 . . . . . note that all factors involving m and n are in the numerator
= (-24/8)·m^(5-7)·n^(4-2) = -3n^2/m^2
Answer:
I'm sorry but there is no diagram
∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
Answer:
A, D , and E
Step-by-step explanation:
We have that:
![\overline{CD} = 12 \: units](https://tex.z-dn.net/?f=%5Coverline%7BCD%7D%20%3D%2012%20%5C%3A%20units)
![\overline{C'D'}](https://tex.z-dn.net/?f=%5Coverline%7BC%27D%27%7D)
is the image of CD after a dilation of scale factor n.
We use the relation between the image length and object length:
![\overline{C'D'} = n \times \overline{CD}](https://tex.z-dn.net/?f=%5Coverline%7BC%27D%27%7D%20%3D%20n%20%5Ctimes%20%5Coverline%7BCD%7D)
Option A
If n=3/2, then
![\overline{C'D'} = \frac{3}{2} \times 12 = 3 \times 6 = 18 \: units](https://tex.z-dn.net/?f=%5Coverline%7BC%27D%27%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5Ctimes%2012%20%3D%203%20%5Ctimes%206%20%3D%2018%20%5C%3A%20units)
This is true.
Option B
If n=4, then
![\overline{C'D'} = 4 \times 12 = 36 \: units](https://tex.z-dn.net/?f=%20%5Coverline%7BC%27D%27%7D%20%3D%204%20%5Ctimes%2012%20%3D%2036%20%5C%3A%20units)
This is false.
Option C
If n=8, then
![\overline{C'D'} = 8 \times 12 = 96 \: units](https://tex.z-dn.net/?f=%20%5Coverline%7BC%27D%27%7D%20%3D%208%20%5Ctimes%2012%20%3D%2096%20%5C%3A%20units)
This too is false.
Option D
If n=2, then
![\overline{C'D'} = 2 \times 12 = 24 \: units](https://tex.z-dn.net/?f=%5Coverline%7BC%27D%27%7D%20%3D%202%20%5Ctimes%2012%20%3D%2024%20%5C%3A%20units)
This is true
Option E
If n=3/4, then
![\overline{C'D'} = \frac{3}{4} \times 12](https://tex.z-dn.net/?f=%5Coverline%7BC%27D%27%7D%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Ctimes%20%2012)
![\overline{C'D'} = 3 \times 3 = 9 \: units](https://tex.z-dn.net/?f=%5Coverline%7BC%27D%27%7D%20%3D%20%203%20%5Ctimes%203%20%3D%209%20%5C%3A%20units)
This is also true.