The number 12, 2, 4, 6, and 8 goes in that number
Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
Answer:
Her new balance = - 92.34
Step-by-step explanation:
First find out what the check did.
She had $63.44 in her account. Her check caused her to be in the whole
63.44 - 186.56 = -123.12
Now she deposited 1/4 of that amount.
- 123.12 + (1/4)(123.12) = - 123.12 + 30.78
Her new balance = - 92.34
Answer:
Jack is 18 years old
Step-by-step explanation:
100:5=20
20-2=<u>18</u>
Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
= 1 * 4 dollars
= 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
= 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and
the total amount that Steve had to pay was $44.