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
3x^2 + 11x - 4 = 0
x^2 + (11/3)x = 4/3
(x+11/6)^2 = 169/36
Answer is B.
5:4 = 10:8 = length:width
10+8=18
162÷18= 9
9×10= 90
the length of the rectangle is D. 90 ft
Answer:
15, 22, 88
Step-by-step explanation:
I assume you mean the second number is 7 more than the first. Write the system of equations:
x + y + z = 125
y = x + 7
z = 4y
Substitute the third equation into the first.
x + y + 4y = 125
x + 5y = 125
Substitute the second equation.
x + 5(x + 7) = 125
6x + 35 = 125
6x = 90
x = 15
Solve for the other variables.
y = 22
z = 88
