Answer:
m∠S=30°
m∠T=60°
m∠P=90°
Step-by-step explanation:
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
In the triangle STP
m∠S+m∠T+m∠P=180° ----> equation A
m∠T=2(m∠S) ----> equation B
m∠P=3(m∠S) ----> equation C
Solve the system of equations by substitution
Substitute equation B and equation C in equation A
m∠S+2(m∠S)+3(m∠S)=180°
Solve for m∠S
6m∠S=180°
m∠S=30°
<em>Find m∠T</em>
m∠T=2(m∠S)
m∠T=2(30°)=60°
<em>Find m∠P</em>
m∠P=3(m∠S)
m∠P=3(30°)=90°
Answer:
4 Pints
Step-by-step explanation:
According to the scenario, calculations are as follows,
As we know, 1 gallon = 8 Pints
1 Quarts = 2 Pints
So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints
Mason = 10 quarts = 10 × 2 Pints = 20 Pints
So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints
= 24 pints - 20 pints
= 4 Pints
Hey
Question 1: For this one, we simply need to look at the "fat grams over 25" and the "Total" sections. We can see that 27 out of 50 have fat grams over 25. This written as a percentage is: 54%
Question 2: Using the same logic above we conclude the answer is 45.45%
Question 3: For this we need to look at the "total" section and the answer is 50
Question 4: We add all the "over 300" and write it as a percentage out of 50 which is 14%
Question 5: Same as #1 answer is 21%
Hope this helps
1. Over a period of 6 years (from 1980 to 1986) the house gained a value of 12000 dollars (109k-97k). 12000/6 gives you a rate of 2000 dollars per year. Because the initial price at t=0 is 97000, the function is 97000+2000t
- Simplify :- 1 + - w² + 9w.
Quadratic polynomial can be factored using the transformation , where are the solutions of the quadratic equation .
All equations of the form can be solved using the quadratic formula: . The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
Square 9.
Multiply -4 times -1.
Add 81 to 4.
Multiply 2 times -1.
Now solve the equation when ± is plus. Add -9 to .
Divide -9+ by -2.
Now solve the equation when ± is minus. Subtract from -9.
Divide by -2.
Factor the original expression using . Substitute for and for .
<h3>NOTE :-</h3>
Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨
This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)