Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Hope it helps!!
Answer:
B StartRoot 3 EndRoot
Step-by-step explanation:
Edge 2020
Answer:
24.08
Step-by-step explanation:
We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2
256 + 324 = x^2
x^2 = 580
x is about 24.08.
Hi there! :)
Answer:
Common difference
Next three terms
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:
Convert 1/2 into a fraction over 4:
1/2 · 2/2 = 2/4
Find the common difference by subtracting the fractions:
2/4 - 1/4 = 1/4. This is the common difference.
Find the next 3 terms by adding 1/4:
5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2
6/4 + 1/4 = 7/4
7/4 + 1/4 = 8/4 (Reduce fraction)
Therefore, the next 3 terms are 3/2, 7/4 and 2.
Answer:
A 3/30=x/12
Step-by-step explanation:
According to the recipe,
For 2 batches, 3 cups of flour required.
One batch has 15 mix rolls
Then 2 batches will have 2 (15) = 30 rolls
Each person gets one roll, so 3 cups of flour is required for 30 people.
The quanity of flour is proportional to the number of people.
Let x be the quantity of flour required for 12 people.
