Answer:
(1, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 3
y = -3x + 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 3 = -3x + 6
- [Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
- [Division Property of Equality] Divide -3 on both sides: 1 = x
- Rewrite/Rearrange: x = 1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3(1) + 6
- Multiply: y = -3 + 6
- Add: y = 3
Let C be the center of the circle. The measure of arc VSU is
, so the measure of the minor arc VU is
. The central angle VCU also has measure
.
Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so


UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so



So finally,

degrees.
Answer:
rs 200
Step-by-step explanation:
Let cost price = x
At 30% profit; marked price of radio is 30% of x = (100% + 30%) = 130%x
Discount = rs 3%
Profit made = 30
Hence,
Marked price - discount = cost price + 30
130%x - 30 = x + 30
1.3x - 30 = x + 30
1.3x - x = 30 + 30
0.3x = 60
Divide both sides by 0.3
0.3x / 0.3 = 60/ 0.3
x =
1.3x / 1.3 = 60 / 1.3
x = 200
Hence, cost price = rs 200
5 + 5 + 5 = 15
15 + 2 = 17 trophies
(5 x 3) + 2 = x (This is a possible way of writing the expression.)
Answer:
8
Step-by-step explanation: