Answer:
first option
Step-by-step explanation:
In a parallelogram consecutive angle are supplementary, sum to 180, so
2a + 122 = 180 ( subtract 122 from both sides )
2a = 58 ( divide both sides by 2 )
a = 29
---------------
In a parallelogram the opposite sides are congruent, then
b + 6 = 10 ( subtract 6 from both sides )
b = 4
Answer with explanation:
Factors of -36 are
![=\pm 1, \pm 2,\pm 3,\pm 4, \pm 6, \pm 9, \pm 12, \pm 18, \pm 36](https://tex.z-dn.net/?f=%3D%5Cpm%201%2C%20%5Cpm%202%2C%5Cpm%203%2C%5Cpm%204%2C%20%5Cpm%206%2C%20%5Cpm%209%2C%20%5Cpm%2012%2C%20%5Cpm%2018%2C%20%5Cpm%2036)
It is given that , among the factors of , -36 , one factor is 11 less than half of the other factor.
If you will take,
, then you can find such pairs.
Pairs are= (3,-4), (9, -1),(-1, -6),
Answer:
13 pencils.
Step-by-step explanation:
Let x be the pens and y be the pencils
Given:
Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.
Total pens and pencils is 22
So,
----------------(1)
And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.
------------(2)
solve equation 1 and equation 2 for x and y.
From equation 1.
![x+y=22](https://tex.z-dn.net/?f=x%2By%3D22)
----------------(3)
put y value in equation 2.
![0.75x+0.4(22-x)=11.95](https://tex.z-dn.net/?f=0.75x%2B0.4%2822-x%29%3D11.95)
![0.75x+0.4\times 22-0.4x=11.95](https://tex.z-dn.net/?f=0.75x%2B0.4%5Ctimes%2022-0.4x%3D11.95)
![0.75x+8.8-0.4x=11.95](https://tex.z-dn.net/?f=0.75x%2B8.8-0.4x%3D11.95)
![0.75x-0.4x=11.95-8.8](https://tex.z-dn.net/?f=0.75x-0.4x%3D11.95-8.8)
![0.35x=3.15](https://tex.z-dn.net/?f=0.35x%3D3.15)
![x=\frac{3.15}{0.35}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3.15%7D%7B0.35%7D)
![x=9](https://tex.z-dn.net/?f=x%3D9)
Now substitute x value in equation 3.
![y=22-9](https://tex.z-dn.net/?f=y%3D22-9)
![y=13](https://tex.z-dn.net/?f=y%3D13)
So, he buy 13 pencils.
Answer:
numbers are 3x,2x,5x
so 3x+2x+5x=10x=840
so x=84
so numbers are 252,168,420
Answer:
y is 8/5 when x = -4.
Step-by-step explanation:
If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.
If "y=-8,when x=20," then we can find k: -8 = 20k, or k = -2/5.
Then y = (-2/5)x.
If x = -4, then y = (-2/5)(-4) = 8/5
y is 8/5 when x = -4.