"Alaina’s sugar cookie recipe calls for 2 1/4
cups of flour per batch. If she wants to make 2/3
a batch of cookies, how much flour should she use?"
1 1/2 Cups, if she wants to make less than the original recipe, she would need less flour, you have to divide.
Answer: x = 50
Concept:
Here, we need to know the idea of alternative interior angles and the angle sum theorem.
<u>Alternative interior angles</u> are angles that are formed inside the two parallel lines, and the values are equal.
The <u>angle sum theorem</u> implies that the sum of interior angles of a triangle is 180°
If you are still confused, please refer to the attachment below or let me know.
Step-by-step explanation:
<u>Given information:</u>
AC ║ DE
∠ABC = 85°
∠A = 135°
<u>Find the value of ∠BAC</u>
∠A + ∠BAC = 180° (Supplementary angle)
(135°) + ∠BAC = 180°
∠BAC = 45°
<u>Find the value of ∠BCA</u>
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum theorem)
(85°) + (45°) + ∠BCA = 180°
∠BCA = 50°
<u>Find the value of x (∠EBC)</u>
∠EBC ≅ ∠BCA (Alternative interior angles)
Since, ∠BCA = 50°
Therefore, ∠EBC = 50°

Hope this helps!! :)
Please let me know if you have any questions
Answer:
x = 18
Step-by-step explanation:
We need to find the value of x.
We know that the sum of angles of a triangle is equal to 180°. So, using this property,
2x+1+3x-1+90 = 180
2x+3x = 180-90
5x = 90
x = 18
So, the value of x is equal to 18.
8,160 ÷ 85 = <span>96
2,880 </span>÷ 30 = 96
SO, Camilla can make 96 necklaces.
Hope I helped:P
Answer:
-2x + 3 – (5 – 6x) = 4x - 2
Step-by-step explanation:
The given expression is :
-2x + 3 – (5 – 6x)
We need to simplify the above expression. First opening the brackets.
-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x
Taking like terms together,
= -2x+6x + 3 -5
= 4x - 2
So, the simplified expression is 4x - 2.