Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x + 3y = 4 into this form
Subtract 2x from both sides
3y = - 2x + 4 ( divide all terms by 3 )
y = - 
x + 
← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 
, hence
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 15) into the partial equation
15 = - 3 + c ⇒ c = 15 + 3 = 18
y = x + 18 → B
Angle 1 is congruent to angles 3, 5, and/or 7
Angle 2 is congruent to angles 4, 6, and/or 8
Angle 5 is congruent to angles 7, 3 and/or 1
Angle 6 is congruent to angles 8, 4, and/or 2
Any of these answers could work for the blanks.
Angles 1 and 3, 2 and 4, 5 and 7, and angles 6 and 8 are congruent because they are vertical angles. They have the same vertex. Not all of these are congruent to each other if this doesn’t make sense. It’s only 1 is congruent to 3, 2 congruent to 4, etc.
Then you have your corresponding angles. These are ones like angles 2 and 6, then 1 and 5. You can also have 8 and 4, or 7 and 3 as corresponding angles
Transversal angles are different. This would be like angles 3 and 4, or 1 and 2. They are not always congruent. The only time they will be congruent is if they are both 90°. Transversal angles are essentially supplementary angles on the transversal line (the line that intersects through the set of parallel lines)
Answer:
3.74
Step-by-step explanation:
Square root of a number is the number that multiplies by itself to result in, in this case, 14. The number is irrational, often, though here is close to 3.74, according to the calculator. Many, though not all, courses recommend calculators for determining square roots, as the mathematical process is quite complex and often not taught. Try this if your course allows, and if not, wow that's a tough course.
