Answer:
x = 23 degrees
Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.

x = 23 degrees
Answer:
√21
Step-by-step explanation:
<u><em>Irrational number:-</em></u>
An irrational number is a type of real number which cannot be represented as a simple fraction . it cannot be expressed in the form of a ratio.
Example:-
√2,√3, ,......
Given option
√21 is a irrational number
Answer:
Answer is 225.
We have to find the sum of 15 terms of the series
sigma 1 to 15 (2n-1)
This can be split as per summation terms as
sigma 2n - sigma 1
sigma 2n can again be simplified by taking 2 outside
sigma 2n= 2 times sum of natural numbers of 1 to 15
= 2(15)(16)/2= 240
sigma 1= 1+1+...15 times= 15
Hence final answer is
= 2 times sigma n - (n) = 240-15 = 225.
Step-by-step explanation:
4x^2 - 64
= 4(x + 4) (x - 4)
4 liters of punch can serve 16.
5 liters of punch will be needed for 20 servings.
7 liters of punch will serve 28.
Step-by-step explanation:
Given,
Ratios of liters of punch to servings = 2:8
Let,
x be the servings for 4 liters.
New ratio of liters of punch to servings = 4:x
Using proportion;
Ratio :: New ratio

Product of mean = Product of extreme

Dividing both sides by 2

4 liters of punch can serve 16.
Let,
y be the liters of punch for 20 servings.
New ratio = y:20
Using proportion;

Product of mean = Product of extreme

Dividing both sides by 8

y=5
5 liters of punch will be needed for 20 servings.
Let,
z be the number of servings for 7 liters of punch.
New ratio = 7:z
Using proportion

Product of mean = Product of extreme

Dividing both sides by 2

7 liters of punch will serve 28.
Keywords: ratio, proportion
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