Answer:
Check it below, please
Step-by-step explanation:
Hi there!
Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.
Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.
Statement Reason
Given
Isosceles Triangle the altitude, the bisector coincide.
Bisector equally divide a line segment into two congruent
Right angles, perpendicular lines.
Perpendicular Line segment
Write and solve equations here. Let the two numbers be x and y.
Then x + 3y = 24, and 5x + 3y = 36. Solve this system of linear equations.
Note that the first equation can easily be solved for x. Then x = 24 - 3y. Subbing 24 - 3y for x in the 2nd eq'n, we get:
5(24 - 3y) + 3y = 36, or 120 - 15y + 3y = 36
-12y = 36 - 120, or -12y = -84
-84
Solving for y: y = ------- = 7
-12
If y is 7, then x is 24 - 3(7). Simplifying, x = 24 - 21 = 3.
Then the solution is (3, 7).
By all means insert 3 for x and 7 for y in either of the original equations. If that equation comes out to be true, you'll know your solution is correct.
Answer:
C
Step-by-step explanation:
Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees
Answer:
B) 60.26 degrees
Step-by-step explanation:
The above picture might help you to visualise the problem better. Moreover, do also note that the angle of depression is calculated from the horizontal. Let a be the angle of depression.
tan a = <em>o</em><em>p</em><em>p</em><em>o</em><em>s</em><em>i</em><em>t</em><em>e</em><em> </em>/ <em>a</em><em>d</em><em>j</em><em>a</em><em>c</em><em>e</em><em>n</em><em>t</em>
tan a = 21 / 12
a = tan inverse (21/12)
<u>a</u><u> </u><u>=</u><u> </u><u>6</u><u>0</u><u>.</u><u>2</u><u>6</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>
Hence angle of depression is <u>B</u><u>)</u><u> </u><u>6</u><u>0</u><u>.</u><u>2</u><u>6</u><u> </u><u>d</u><u>e</u><u>g</u><u>r</u><u>e</u><u>e</u><u>s</u>
Answer:
59°
Step-by-step explanation:
31°-90°=59°
F hahahahah jewish usually xD