Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
Answer:
Brody purchased 16 songs.
Step-by-step explanation:
Ratio of the number of songs purchased by Brody(B) and Jayliah(J) = 2 : 3
------(1)
Similarly ratio of the songs purchased by Jayliah(J) and Sadie(S) = 4 : 5
-------(2)
If Sadie bought the songs (S) = 30
From equation (2),

J = 
J = 24
By substituting the value J = 24 in equation (1),

B = 
B = 16
Therefore, number of songs purchased by Brody = 16.
Answer:
7/30
Step-by-step explanation:
We are given that Seven-ninths (7/9) of the pencils in a box are yellow and three-tenths (3/10) of the yellow pencils are sharpened.
To find the fraction that represents sharpened yellow pencils, we find the product of the the fraction of yellow pencils and the fraction of yellow pencils that are sharpened.
That is:
=> (7 / 9) * (3 / 10)
=(7 * 3) / (9 * 10)
= 21 / 90
= 7 / 30
7/30 represents the fraction of sharpened yellow pencils.
192 minutes or 3 hours and 12 minutes
an hour is 60 minutes and 60 divided by five is 12 so i multiplied 12 by 4, which is 48 and multiplied 48 by 4 and i got my answer
Answer:
perimeter = 6w
area = 2w^2
Step-by-step explanation:
we can use the variable w for width, and 2w for length perimeter would be width + width + length + length, or 6w
area is width x length or 2w^2