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
Combining like terms refers to adding all of the terms that have a exponent or a variable in an expression.
Example: 6y + 10y - 2
You would combine the like terms, which two numbers have a variable.
6y + 10y = 16y
After combing the like terms, the new expression should be:
16y - 2
Answer:
The first four terms of the above sequence are 1, 6, 11, 16.
Step-by-step explanation:
A sequence is defined by the function f(n)=f(n-1)+5.
Where n represents the number of the term for n>1
First Put n = 2
f(2)=f(2-1)+5.
= f (1) + 5
= -4 + 5
= 1
Second Put n = 3
f(3)=f(3-1)+5.
= f (2) + 5
= 1 + 5
= 6
Third Put n = 4
f(4)=f(4-1)+5.
= f (3) + 5
= 6+ 5
= 11
Second Put n = 5
f(5)=f(5-1)+5.
= f (4) + 5
= 11 + 5
= 16
Therefore the first four terms of the above sequence are 1, 6, 11, 16.
Answer:
40 coins in each piggy bank
Step-by-step explanation:
Add all the coins together.
95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins
Divide the number of coins by 4.
160 coins divided by 4 piggy banks= 40 coins in each piggy bank
I hope this helps ;)
Answer:
show the screen clearer !
Step-by-step explanation:
