Answer:
Step-by-step explanation:
A number divisible by 9 is also divisible by 3 because 3 is a factor of 9.
Answer: 24
Step-by-step explanation:
You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.
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Answer:
![m\angle A= 30^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20A%3D%2030%5E%7B%5Ccirc%7D)
Step-by-step explanation:
In the question, we're given
. Therefore, the measure of these two angles must be equal.
To find the value of
, set these two angles equal to each other:
![4x-26=x+16](https://tex.z-dn.net/?f=4x-26%3Dx%2B16)
Add 26 and subtract
from both sides:
![3x=42](https://tex.z-dn.net/?f=3x%3D42)
Divide both sides by 3:
![x=\frac{42}{3}=14](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B42%7D%7B3%7D%3D14)
Since
was labelled as
, substitute
to find its measure:
![\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}](https://tex.z-dn.net/?f=%5Cangle%20A%3D4%2814%29-26%2C%5C%5C%5Cangle%20A%3D56-26%2C%5C%5C%5Cangle%20A%3D%5Cboxed%7B30%5E%7B%5Ccirc%7D%7D)
You can also substitute
into the label of angle D as angle A is congruent to angle D for easier calculations (
).
0, the slope and y-intercept is 0
Answer:
£18
Step-by-step explanation:
Let
x = original price of the game
Increase in price = 1/2
New price = £27
x + 1/2x = £27
2x+x/2 = 27
3/2x = 27
x = 27 ÷ 3/2
= 27 × 2/3
= 54 / 3
x = £18
Therefore, the original price of the game is £18