Answer:
r= -1/5
Step-by-step explanation:
Step 1: Remove the parentheses (5r-10= -51)
Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)
Step 3: Calculate the sum of -51 +50 (5r = -1)
Last Step: Divide both sides by the equation by 5 (r = -1/5)
First 3/4: this is actually 0.75. but the percent means we have to divide it by 100:
0.0075
3/25 is actually 0.12 (because it's equal to 12/100: i multiplied both numbers by 4)
and if it's a percent, again we "move to "move the point" or in other words divide by a 100:
0.0012 (think of dividing by 10 as of moving the coma to the left and adding zeros if there is noone to move)
the last one is equal to 55/100 (multiplied both by 5), so 11/20 % is 0.0055
I hope this was clear, let me know if you have questions!
Answer:
ΔABD ≅ ΔACD by SAS, therefore;
by CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
ABCD is a trapezoid
Given
Given
Definition of a trapezoid
ABCD is an isosceles trapezoid
Left and right leg are equal
∠BAD ≅ ∠CDA
Base angle of an isosceles trapezoid are congruent
Reflexive property
ΔABD ≅ ΔACD
By SAS rule of congruency
CPCTC
CPCTC; Congruent Parts of Congruent Triangles are Congruent
SAS; Side Angle Side rule of congruency
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
162.5 is the simple interest for one year.
What does the term "simple interest" mean?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest.
Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
P = $812.50
T = 1 Year
S.I. = ?
R = 20
According to question,
S.I. = P * R* T/100
= 812.50 * 20 * 1/100
= 16250/100
= 162.5
Learn more about Simple interest
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