Answer:
C) (8,12)
Step-by-step explanation:
![MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{5+11}{2} )(\frac{9+15}{2} )\\MP= (\frac{16}{2} )(\frac{24}{2} )\\MP= (8,12)](https://tex.z-dn.net/?f=MP%3D%20%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%29%28%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%29%5C%5CMP%3D%20%28%5Cfrac%7B5%2B11%7D%7B2%7D%20%29%28%5Cfrac%7B9%2B15%7D%7B2%7D%20%29%5C%5CMP%3D%20%28%5Cfrac%7B16%7D%7B2%7D%20%29%28%5Cfrac%7B24%7D%7B2%7D%20%29%5C%5CMP%3D%20%288%2C12%29)
300,022,000.
Don't quote me on that, I'm really not all that good at math.
The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.
EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.
5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x
4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y
10(4x + 5)= (10*4x) + (10*5)= 40x + 50
ANSWER:
Only one pair below is needed for your answer.
5(2 + 3x)= 7 + 15x
4(2x + 4y)= 8x + 16y
10(4x + 5)= 40x + 50
Hope this helps! :)
Answer:
r=56
Step-by-step explanation:
252= r * 4.5
r * 4.5 = 252
r * 4.5 * 10 = 252 * 10
45r = 2520
r = 56
Answer:1
1. ![x = 30](https://tex.z-dn.net/?f=x%20%3D%2030)
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to
![(4-2)\cdot 180\\\\2\cdot 180\\\\360](https://tex.z-dn.net/?f=%284-2%29%5Ccdot%20180%5C%5C%5C%5C2%5Ccdot%20180%5C%5C%5C%5C360)
This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.
![4x + 3x + 2x + 3x = 360](https://tex.z-dn.net/?f=4x%20%2B%203x%20%2B%202x%20%2B%203x%20%3D%20360)
Combine like terms:
![12x = 360](https://tex.z-dn.net/?f=12x%20%3D%20360)
Divide both sides by 12:
![x = 30](https://tex.z-dn.net/?f=x%20%3D%2030)
We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x =
°
∠BCD = 3x =
°
∠CDA = 2x =
°
∠DAB = 3x =
°
Hope this helped!