The length of both AB and DC is the same.
19 degrees
We want to know the arc measure for the whole circle, except for DC. So, we can subtract the arc measure of DC from 360 to find DBC. Since we found DC above, all we need to do is subtract.
360 - 19 = 341
DBC = 341 degrees
Hope this helps!! :)
Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)
Step-by-step explanation:
Distance between points (-7, 2) and (-2, 14) is 13
Answer:
y = -2/9 |X| - 8
Step-by-step explanation:
I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.
If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.
First, you know that the sum of all the angles is 540 degrees, so add them all together to find an equation that can be solved for b.
b+(3/2b)+(b-45)+(2b-90)+90=540
Then simplify the equation:
b+(3/2b)+b+2b=540+45+90-90
4b+(3/2b)=585
11/2b=585
11b=585x2
11b=1170
b=1170/11
b=106.36
Using this answer for 'b', you can plug it into the other values for the angles to find the final answers.
