Answer:
Step-by-step explanation:
So, our equation is:
In exponetial form, this looks like:
Now lets cube the 5:
Next, we can multiply the denominator on the right side by 5:
We need to now get x alone by adding 4 to both sides:
Finally, we divide by x's coefficent, 2, to get:
Hope this helps! :3
1 Inch = 25.4 mm
4.5 Inches = ? mm
mm in 4.5 inches = 4.5*25.4 mm = 114.3 mm
154-2= 152/8= 19
answer is 19
Answer:
Option B
The measure of angle b is 75°
Step-by-step explanation:
Method 1
we know that
In a inscribed quadrilateral, the opposite angles are supplementary
so
∠a+60°=180° ------> equation A
∠b+105°=180° -----> equation B
To find the measure of angle b solve the equation B
∠b+105°=180°
Subtract 105° both sides
∠b+105°-105°=180°-105°
∠b=75°
Method 2
see the attached figure with letters to better understand the problem
we know that
The inscribed angle measures half that of the arc comprising
so
∠105°=(1/2)[arc ADC]
arc ADC=2*105°=210°
<em><u>Find the measure of arc ABC</u></em>
we know that
arc ABC+arc ADC=360° -----> by complete circle
arc ABC=360°-210°=150°
<u><em>Find the measure of inscribed angle b</em></u>
∠b=(1/2)[arc ABC]
substitute
∠b=(1/2)[arc 150°]=75°
Since they are vertical angles, they equal each other. Therefor the equation would be: 30x-29 = 20x+21
10x = 50
X = 5
After, you plug whatever x is back into the other equations.
20(5)+21 = 121 and 30(5)-29 = 121