Answer: <em>∠1 = 37.5°; ∠2 = 37.5°; ∠3 = 133°.</em>
Step-by-step explanation:
<em>∠1 = ∠2 = (180° - 105°) ÷ 2 = 37.5°</em>
<em>∠3 = 180° - 23° - 24° = 133°</em>
Answer:
decreased by 39%
Step-by-step explanation:
deacreased by
42.5-26= 16.5
16.5÷42.5=38.82352941
rounded to 39%
Answer:
y=-9x-4
Step-by-step explanation:
Perpendicular lines meet the following condition:
m2*m1= -1 (a)
where m is the slope of a line
m1 is given through equation of line 1, y =1/9 x+2
m2 must be -9 -> from eq. (a)
The Line has the following equation: y=mx+b, where m=-9 and the b is the interception with y axis.
Evaluating the above equation in (-1,5) we have the following equation
5= -9*(-1)+b, we have b=-4
The line has the following equation
y=-9x-4
Slope intercept form
Answer: Length of AB is 16 cm
Step-by-step explanation:
Given: Diameter of a circle is 20 cm and CE = 4 cm
Now as shown in figure AO, BO, CO are radii

Therefore
AO=BO=CO= 10 cm
Now

Now in Δ OEB
∠OEB =90°
Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.
So we have

Now as we know perpendicular to the chord from the center of a circle bisect the chord.
Therefore

Hence , the length of AB is 16 cm .
Answer:
$20 per room
Step-by-step explanation:
5 + 6 + 4= 15
$300 % 15 = 20
$20 per room