Answer:
Option A is correct : . a=115, b=71
Step-by-step explanation:
Consider the attached file.
AB is parallel to CD.
∠1+ a° = 180° (since sum of linear pairs is 180°) ---(A)
And ∠1 = ∠2 because they are corresponding angles.
∠1 = ∠2 = 65°
Putting this value in (A)
⇒65°+ a° = 180°
⇒a° = 180°-65°
⇒a° = 115°
∠3+ 109° = 180°(since sum of linear pairs is 180°) ---(B)
⇒∠3 = 180°-109°
⇒∠3 = 71°
Now, ∠3 = b° (because they are corresponding angles and corresponding angles are equal)
⇒∠3= b°= 71°
Thus Option A is correct : . a=115, b=71
Answer: 13 sheets of paper
Step-by-step explanation:
We are given the dimensions of the box and the wrap paper:
Box:
Warp paper:
Now we need to find the surface area of the box and the area of the wrap paper:
Box:
Warp paper:
Dividing the area of the box by the area of the paper:
This means Angel's dad needs to purchase 13 sheets of wrapping paper.
Answer:
Step-by-step explanation:
You know that:
- 2/5 of the spice mixture was oregano.
- 1/3 of the spice mixture was basil.
Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:
- Find the least common multiply of the denominators:
- Divide the LCM by each original denominator and multiply the result by each numerator.
- Make the addition.
Then, the result is:
Answer:
x = ± 2
Step-by-step explanation:
Given
x² = 20 ( take the square root of both sides )
x = ± = ±
= ± 2