Answer:
Step-by-step explanation:
Let
x-----> the cost of his lunch
y----> the cost of his dinner
we know that
-----> equation A
---> equation B
substitute equation B in equation A
-----> the cost of the dinner
Answer:
A. x = (20√3)/3, y = (40√3)/3
Step-by-step explanation:
The ratios of the side lengths of a 30°-60°-90° right triangle are (shortest to longest) ...
1 : √3 : 2
In this triangle, they are ...
x : 20 : y
Multiplying the first ratio by (20√3)/3, we get ...
x : 20 : y = (20√3)/3 : 20 : (40√3)/3
Then the values of the variables are x = (20√3)/3, y = (40√3)/3.
_____
The above side length ratios correspond to sin(60°) = cos(30°) = (√3)/2, cos(60°) = sin(30°) = 1/2. These are values you might have memorized.
Answer:
Volume = 3.14 × 5² ×6 ÷ 3
volume = 157 cm³ B
Answer:
Step-by-step explanation:
Given:
RUTS is a rectangle.
To prove:
∠USR ≅ ∠SUT
Statements Reasons
1. RUTS is a rectangle 1. Given
2. RU = ST, UT = RS 2. By the definition of a rectangle
3. ∠STU = ∠SRU = 90° 3. Definition of a rectangle
4. ΔURS ≅ ΔSTU 4. By the LL theorem of congruence
5. ∠USR ≅ ∠SUT 5. CPCTC
Answer:
Step-by-step explanation:
So we have the inequality:
First, combine like terms:
Subtract 1 from both sides:
Divide both sides by 12:
And that's our answer :)