Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.
Answer:
140
Step-by-step explanation:
Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.
It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.
Therefore the ratio you have been given must have 4 angles that add to 360.
2x + 3x + 6x + 7x = 360
18x =360
x = 20
So the 4 angles are
2* 20 = 40
3*20 = 60
6*20 = 120
7*20 = 140
Total 360
The largest angle is 140
So if it is 3 for $2 you multiply 2 by 4 because 3*4=12 and that is one dozen.
So the answer you are looking for is 2*4=8. So one dozen is $8.
Answer:
3.2
Step-by-step explanation:
4 is in the hundredths place. It is less than 5 so you leave the tenths place alone, so you get 3.2.
Answer:
7/3
1
1/2
undefined
Step-by-step explanation:
1/1 ÷ 3/7 = 7/3 because you multiply the 1st fraction by the reciprocal of the 2nd
1/1 = 1
1/2 = 1/2
1/0 = undefined; anything divided by zero is considered to be undefined