Answer:
Step-by-step explanation:
A parallelogram is a quadrilateral with congruent opposite sides and pair of opposite angles.
Given: parallelogram ABCD
AD≅ BC
AD ║ BC
Thus;
<ABC + DAB =
(supplementary angle property)
ΔABD = ΔCBD (each diagonal divides a parallelogram into two congruent triangles)
<ABC = <ADC (both pairs of opposite angles are congruent)
<DAB = <BCD (both pairs of opposite angles are congruent)
AB ≅ CD (opposite sides are congruent)
AB ║ DC (pair of opposite sides are parallel)
Therefore, the quadrilateral ABCD is a parallelogram.
Answer:
a. yes because all of them are equal to 20/7
b. the cost of a 20 oz. bag of coffee is 7$
Step-by-step explanation:
a.• 6/2.10=20/7
• 8/2.80=20/7
• 16/5.60
so all of them are proportional.
b. let x be the cost of a 20 oz. bag of coffee
![\frac{20}{7} = \frac{20}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B20%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B20%7D%7Bx%7D%20%20)
=>x=7
Answer:
x=-11
Step-by-step explanation:
After solving the expression
the value of y is ![y=\frac{5}{9}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B9%7D)
Step-by-step explanation:
We need to solve the expression
to find value of y
Solving:
![\frac{3y-2}{3}+\frac{2y+3}{3}=\frac{y+7}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B3y-2%7D%7B3%7D%2B%5Cfrac%7B2y%2B3%7D%7B3%7D%3D%5Cfrac%7By%2B7%7D%7B6%7D)
Taking LCM of 3,3 and 6 is 6
Multiply all terms by 6
![\frac{3y-2}{3}*6+\frac{2y+3}{3}*6=\frac{y+7}{6}*6\\(3y-2)*2+(2y+3)*2=y+7](https://tex.z-dn.net/?f=%5Cfrac%7B3y-2%7D%7B3%7D%2A6%2B%5Cfrac%7B2y%2B3%7D%7B3%7D%2A6%3D%5Cfrac%7By%2B7%7D%7B6%7D%2A6%5C%5C%283y-2%29%2A2%2B%282y%2B3%29%2A2%3Dy%2B7)
Simplifying:
![6y-4+4y+6=y+7\\](https://tex.z-dn.net/?f=6y-4%2B4y%2B6%3Dy%2B7%5C%5C)
Combining like terms:
![6y+4y+6-4=y+7\\10y+2=y+7](https://tex.z-dn.net/?f=6y%2B4y%2B6-4%3Dy%2B7%5C%5C10y%2B2%3Dy%2B7)
Simplifying to find value of y:
![10y-y=7-2\\9y=5\\y=\frac{5}{9}](https://tex.z-dn.net/?f=10y-y%3D7-2%5C%5C9y%3D5%5C%5Cy%3D%5Cfrac%7B5%7D%7B9%7D)
So, after solving the expression
the value of y is ![y=\frac{5}{9}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B9%7D)
Keywords: Solving Fractions
Learn more about Solving Fractions at:
#learnwithBrainly
Answer:
3
Step-by-step explanation:
The largest exponent is 3. That is the degree of this polynomial.
The degree is 3.