Answer:
CD = 10
AD = 22
EC = 13
AC = 26
∠CAD = 23°
∠BAC = 47°
∠ADC =110°
Step-by-step explanation:
A parallelogram is a quadrilateral with two sets of opposite parallel lines.
Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.
Now lets find the values required,
CD = AB (Opposite sides are equal in length)
But, AB= 10 (given) therefore CD = 10.
AD = BC (Opposite sides are equal in length)
But, BC= 22 (given) therefore AD = 22.
EC = AE (Diagonals bisect each other)
But, AE= 13 (given) therefore EC = 13
AC = AE + EC
=
AC =
∠CAD = ∠BCA (Alternate interior angles are equal)
But, ∠BCA = 23° therefore, ∠CAD = 23°
∠BAC = ∠ACD (Alternate interior angles are equal)
But, ∠ACD = 47° therefore, ∠BAC = 47°
∠ADC + ∠BCD = 180° (Consecutive interior angles)
But, ∠BCD = 23°+47°=70°
∠ADC = 180°- ∠BCD
=180°-70°
∠ADC =110°
The clerk’s next guess should be fewer red shells and more white shells.
The given parameters are:
The clerk's guess of $4.96 for 4 red shells and 4 blue shells is greater than the actual purchase.
This means that:
The clerk should make use of fewer red shells, and additional white shells.
This is so because the unit price of the red shells is greater than that of the white shells
Read more about linear functions at:
Answer: The cost was too high. Since red shells cost more than white shells, the clerk’s next guess should be fewer red shells and more white shells. I would guess 3 red shells and 5 white shells.
Step-by-step explanation:
2.15x-30y-220
3.15x+30y-220
4.15x+30y-64
The expression is equivalent to the expression 30(1/2x - 2) + 40(3/4y - 4) will be 15x + 30y - 220. Then the correct option is C.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 30(1/2x - 2) + 40(3/4y - 4)
Simplify the expression, then we have
⇒ 30(1/2x - 2) + 40(3/4y - 4)
⇒ 15x - 60 + 30y - 160
⇒ 15x + 30y - 220
The expression is equivalent to the expression 30(1/2x - 2) + 40(3/4y - 4) will be 15x + 30y - 220. Then the correct option is C.
More about the Algebra link is given below.
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since it is absolute value you would simply make it a positive number. That works for any number. Just make it a positive. If it is already a positive keep it the same.