Answer:
Step-by-step explanation:
A+B+C+D=360 degree(sum of all sides of a parallelogram)
60+4x+60+4x=360
120+8x=360
8x=360-120
x=240/8
x=30
Answer:
x =12
Step-by-step explanation:
We can use the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
16^2 + x^2 = 20^2
256 +x^2 = 400
Subtract 256 from each side
256-256 +x^2 = 400-256
x^2 =144
Take the square root of each side
sqrt(x^2) =sqrt(144)
x = 12
Answer:
y^5
Step-by-step explanation:
y^-2/y^-7
When we divide exponents with the same base, we subtract the exponents
y^ ( -2 - -7)
y^ ( -2+7)
y^ 5
Direct variation is when
is the same for each coordinate.
Indirect variation is when x · y is the same for each coordinate.
11. Answer: Direct Variation
<u>Step-by-step explanation:</u>
![\begin {array}{c||c|c|c|c|c}x&12&18&23&29&34\\y&132&198&253&319&374\\\\\dfrac{y}{x}&\dfrac{132}{12}=11&\dfrac{198}{18}=11&\dfrac{253}{23}=11&\dfrac{319}{29}=11&\dfrac{374}{34}=11\\\end{array} \\\\\\\text{The coordinates x and y show a direct variation.}](https://tex.z-dn.net/?f=%5Cbegin%20%7Barray%7D%7Bc%7C%7Cc%7Cc%7Cc%7Cc%7Cc%7Dx%2612%2618%2623%2629%2634%5C%5Cy%26132%26198%26253%26319%26374%5C%5C%5C%5C%5Cdfrac%7By%7D%7Bx%7D%26%5Cdfrac%7B132%7D%7B12%7D%3D11%26%5Cdfrac%7B198%7D%7B18%7D%3D11%26%5Cdfrac%7B253%7D%7B23%7D%3D11%26%5Cdfrac%7B319%7D%7B29%7D%3D11%26%5Cdfrac%7B374%7D%7B34%7D%3D11%5C%5C%5Cend%7Barray%7D%20%5C%5C%5C%5C%5C%5C%5Ctext%7BThe%20coordinates%20x%20and%20y%20show%20a%20direct%20variation.%7D)
12. Answer: Indirect Variation
<u>Step-by-step explanation:</u>
![\begin {array}{c||c|c|c|c|c}x&4&6&8&8.4&12\\y&21&14&10.5&10&7\\x\cdot y&4\cdot 21=84&6\cdot 14=84&8\cdot 10.5=84&8.4\cdot 10=84&12\cdot 7=84\\\end{array} \\\\\\\text{The coordinates x and y show an indirect variation.}](https://tex.z-dn.net/?f=%5Cbegin%20%7Barray%7D%7Bc%7C%7Cc%7Cc%7Cc%7Cc%7Cc%7Dx%264%266%268%268.4%2612%5C%5Cy%2621%2614%2610.5%2610%267%5C%5Cx%5Ccdot%20y%264%5Ccdot%2021%3D84%266%5Ccdot%2014%3D84%268%5Ccdot%2010.5%3D84%268.4%5Ccdot%2010%3D84%2612%5Ccdot%207%3D84%5C%5C%5Cend%7Barray%7D%20%5C%5C%5C%5C%5C%5C%5Ctext%7BThe%20coordinates%20x%20and%20y%20show%20an%20indirect%20variation.%7D)