Answer:
a = P - b - c
General Formulas and Concepts:
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define equation</u>
P = a + b + c
<u>Step 2: Solve for </u><em><u>a</u></em>
- Subtract <em>b</em> on both sides: P - b = a + c
- Subtract <em>c</em> on both sides: P - b - c = a
- Rewrite: a = P - b - c
Let's named variables as M,J and R
The equation is M+J+R=74
We will represent M with J => M=J+6 and R=2J
when we replace in the equation we get
J+6+J+2J=74 => 4J=74-6 => 4J=68 => J=68/4 = 17
J=17 => M=6+17 => M=23 and R=2* 17 => R=34
Final answer is
Juan served 17 orders
Melissa served 23 orders and
Rafael served 34 orders
Good luck!!!!
32.94,32.102,33.6,33.01,34.198,34.039
hope it help
The picture in the attached figure
we know that
m∠A+m∠B+m∠C=180°-----> by the sum of the internal angles of the triangle is 180 degrees
m∠A=25°
for m∠B=51°
find ∠C
∠C=180-[25+51]---------> m∠C=104°
for m∠B greater than 51°-------> m∠C must be less than 104°
for m∠B=57°
find m∠C
m∠C=180-[25+57]---------> m∠C=98°
for m∠B less than 57°-------> m∠C must be greater than 98°
therefore
98° < m∠C < 104°
The equations presented in the choices above are all derived from the Pythagorean theorem. This states that the sum of the squares of the two shorter sides is equal to the square of the longest side which is also referred to as the hypotenuse.
If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A.