What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

y=3x-5

Step-by-step explanation:

If the new line is perpendicular to the original line, they the slope for the new line should be the reciprocal and opposite of the original line. Since the original line's slope is -1/3, the slope of the new line is 3, which is the coefficient in the new equation representing the new line. Then, you create an equation to solve for "b" in the equation y=mx+b where "b" is the y-intercept. You plug in 3 for x, 4 for y, and 3 for m (you know that 3 is x and 4 is y because it says that the line must past (3,4). So the equation to solve for b should be "4=3(3)+b". Then for b you should get -5.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42