The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415
Step-by-step explanation:
Given that,
The measure of angle DBE (0.1x - 22)
The measure of angle CBE (0.3x - 54)
<u>Step 1</u>
As per the Angle Addition Postulate,
m∠DBE+m∠CBE=m∠DBC
<u>
Step 2</u>
Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.
Hence,
(0.1x-22)+(0.3x-54)= 90
<u>Step 3</u>
Lets solve the equation for x
We know that 0.4x-76= 90
0.4x= 166
x=166/0.4
x=415
<u>Step 4</u>
<u>Answer :</u> The value of x is 415
Answer: P(mean x<18.1077) = P(z< -2.67) = 0.0038
Step-by-step explanation:
Value of Z for 18.1077 = (18.1077 - 19.5)/0.5209 = -2.67
Answer: 163/27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x + -1/9 = 18
Step 2: Add 1/9 to both sides.
3x + -1/9 + 1/9 + = 18 + 1/9
3x = 163/9
Step 3: Divide both sides by 3.
3x/3 = 163/9 over 3
x = 163/27
Answer:
135
Step-by-step explanation:
Order of Operations: Parentheses first, then power, then division!
Answer:
T(x, y) = (x - 5, y - 6)
Step-by-step explanation:
The transformation T is a translation that creates an image P' of original point P by adding 5 to the x-coordinate and 6 to the y-coordinate of the original point P.
Now you want to transform point P' into point P, so you are undoing the first transformation. You need to do the opposite of what the transformation above does. You need to subtract 5 from the x-coordinate and subtract 6 from the y-coordinate.
Answer: T(x, y) = (x - 5, y - 6)