Marcos has 6 nickels and 9 quarters
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "q" be the number of quarters
<em><u>Marcos had 15 coins in nickels and quarters</u></em>
Therefore, we can say,
number of nickels + number of quarters = 15
n + q = 15 -------- eqn 1
<em><u>He has three more quarters than nickels</u></em>
Number of quarters = 3 + number of nickels
q = 3 + n -------- eqn 2
Eqn 1 and eqn 2 represents the system of equations
<em><u>Substitute eqn 2 in eqn 1</u></em>
n + 3 + n = 15
2n + 3 = 15
2n = 15 - 3
2n = 12
<h3>n = 6</h3>
<em><u>Substitute n = 6 in eqn 2</u></em>
q = 3 + 6
<h3>q = 9</h3>
Thus Marcos has 6 nickels and 9 quarters
1. S is a straight line that cuts through f and t
2. Given
3. ∠5 ≅ ∠7
4. ∠7 ≅ ∠3 Corresponding angles
Solution:
Step 1: Given
S is a straight line that cuts through f and t
Step 2: Given
∠3 ≅ ∠5
Alternate interior angles are equal.
Step 3: By Vertical angle theorem
Vertically opposite angles are congruent.
∠5 ≅ ∠7
Step 4: Corresponding angles
∠7 and ∠3 are corresponding angles.
∠7 ≅ ∠3
Step 5: Corresponding angles theorem
f || t
Hence proved.
Answer:
don't bother commenting im a bot
Step-by-step explanation:
Answer:
sin = opposite / hypotenuse
cos = adjacent/hypotenuse
sin U = 4/5
cos U = 3/5
sin T = 3/5
cos T= 4/5
Answer:
it has to be g.
Step-by-step explanation:
the transitive property of equality states the following: if one value (a) is equal to another value (b), which is equal to another value (c), then the first value (a) is equal to the third value, (c)