Answer:
5-8 is +3
8-14 is +3*2
14-26 is 3*4
26-50 is 3*8
which means 50 to the next number is 3*16, which is 48
48+50 is 98
Step-by-step explanation:
Answer:
c. m∠1 + m∠6 = m∠4 + m∠6
Step-by-step explanation:
Given: The lines l and m are parallel lines.
The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.
a. m∠1 + m∠2 = m∠3 + m∠4
Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.
m∠3 and m∠4 are supplementary angles add upto 180 degrees.
Therefore, the statement is true.
b. m∠1 + m∠5 = m∠3 + m∠4
m∠1 + m∠5 = 180 same side of the adjacent angles.
m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.
Therefore, the statement is true.
Now let's check c.
m∠1 + m∠6 = m∠4 + m∠6
We can cancel out m∠6, we get
m∠1 = m∠4 which is not true
Now let's check d.
m∠3 + m∠4 = m∠7 + m∠4
We can cancel out m∠4, we get
m∠3 = m∠7, alternative interior angles are equal.
It is true.
Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6
Answer: B
Step-by-step explanation: if you divide 27/30 by 3 you get 9/10
Pattern A starts with 20 and substracts 3
First number = 20
Second number = 20 - 3 = 17
Third number = 17 - 3 = 14
Fourth number = 14 - 3 = 11
Pattern B starts with 10 and adds 2
First number = 10
Second number = 10 + 2 = 12
Third number = 12 + 2 = 14
Fourth number = 14 + 2 = 16
Now join pattern A and B
First combination = (20,10)
Second combination = (17,12)
Third combination = (14, 14)
Fourth combination = (11, 16)
The answer is d. (20,10), (17,12), (14,14), (11,16)
Answer:
x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)
Step-by-step explanation:
Solve for x:
x^2 + 4 x = 4
Add 4 to both sides:
x^2 + 4 x + 4 = 8
Write the left hand side as a square:
(x + 2)^2 = 8
Take the square root of both sides:
x + 2 = 2 sqrt(2) or x + 2 = -2 sqrt(2)
Subtract 2 from both sides:
x = 2 sqrt(2) - 2 or x + 2 = -2 sqrt(2)
Subtract 2 from both sides:
Answer: x = 2 sqrt(2) - 2 or x = -2 - 2 sqrt(2)
