Answer:
59
Step-by-step explanation:
The product of 5 and n : 5(n)
6.7 more : +6.7 5n + 6.7 is your expression Hope this helps
Answer:
Option (3)
Step-by-step explanation:
Given:
Horizontal side of a triangle ABC is side AC.
AB and BC are the perpendicular lines.
BD is perpendicular to side AC.
Solution:
Option (1).
Slopes of AB and BC are reciprocal.
False.
Option (2)
Angle DAB and BCD are equal.
False.
Option (3).
Since, sides AB and BC are perpendicular lines,
Slopes of AB and BC will be negative reciprocals.
True.
Option (4).
Triangles ABD and BCD are similar.
False.
Therefore, Option (3) will be the answer.
Answer:
See Below.
Step-by-step explanation:
We want to write a paragraph proof to prove the following theorem:
If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.
Each sentence is numbered:
1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.
2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.
3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.
4) The Division Property of Equality then yields m∠M = 90.
5) Substitute m∠N for m∠M to get m∠N = 90.
6) By the definition of right angles, ∠N and ∠M are right angles.
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15
