Since complementary angles add to 90°, (4x - 1) and (5x + 19), also add to 90°.
Thus, lets form an equation:
90 = 5x + 19 + 4x - 1
72 = 9x
x = 9
Thus, the measure of angle B is 64°.
(0, 3)
<span>-x + 3y=9
to figure out the y-intercept, you must put the equation into y-intercept form first: y = mx + b
</span><span>-x+3y=9
3y = x + 9
y = (x/3) + (9/3)
y = x/3 + 3
</span>
Answer:
hi
Step-by-step explanation:
Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD:

The major advantage of exponential notation is that it simplifies a number into a more readable form, so we don't have to count all the zeros every time we look at it / calculate it. It helps us to identify big numbers as small decimals which we are more familiar with.