Answer:
∠ EBF = 98°
Step-by-step explanation:
(3x - 15) and (2x + 10) are vertically opposite angles and are congruent, then
3x - 15 = 2x + 10 ( subtract 2x from both sides )
x - 15 = 10 ( add 15 to both sides )
x = 25
3x - 15 = 3(25) - 15 = 75 - 15 = 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBF is an exterior angle of the triangle , then
∠ EBF = 60° + 38° = 98°
Answer:
There are 10 orange marbles
Step-by-step explanation:
There are 25 marbles in the bag
40% are orange
To determine the number of orange marbles, we multiply the total number of marbles by the percent that are orange
25 *40% = number of orange marbles
25*.40
10
There are 10 orange marbles
Answer:
x=49
Step-by-step explanation:
Let's solve your equation step-by-step.
1
8
x−
49
8
=0
Answer:
x=49
Given that the First term of the Arithmetic sequence = -3
⇒ a = -3
We know that nth term of a Arithmetic sequence is : Tn = a + (n - 1)d
where a is the first term and d is the common difference
Given that 10th term is 15
⇒ T₁₀ = -3 + (10 - 1)d
⇒ -3 + (10 - 1)d = 15
⇒ 9d = 18
⇒ d = 2
⇒ Common difference of given Arithmetic Sequence is 2
Since the diagonals of a parallelogram bisect each other, it follows that:


The correct answer is 4cm