Answer:
81 square inches.
Step-by-step explanation:
Draw a diagram to represent what you know.
You don't know the values of the lengths so represent them algebraically.
You know the perimeter is 45 inches and that the perimeter is calculated by the sum of all of the sides of a shape.
You can rearrange to find the value of a side you've denoted as some unknown variable.
The area is given by the product of the sides. Express this algebraically and then input the value you found.
Bibby
m=y2−y1x2−x1=15−75−1=84=2y−y1=m(x−x1)⟺(x1,y1)=(1,7)y−7=2(x−1)y−7=2x−2y=2x−2+7 y=2x+5
To solve for this, we need to figure out the sum of any two numbers on the dice that will become a pair factor for the listed answers.
What I mean by that is that we need to find the probability between how many two numbers will sum up to the answer.
3 can be 1 + 2, that's it. 3 has a probability of (1).
4 has a sum of 1 + 3, and 2 + 2, that's it. 4 has a probability of (2).
7 has a sum of 1 + 6, 2 + 5, and 3 + 4. 7 has a probability of (3).
11 has a sum of 5 + 6, that's it. 11 has a probability of (1).
The numbers in parenthesis are the probabilities.
7 has the highest number, so 7 has the highest probability.
Your answer is: 7.
I hope this helps!
To find r, first write out the equation:
Next, multiply both sides by 2:
Now, subtract both sides by 4:
Divide both sides by 3:
The answer to this problem is
r = 2. Hope this helps and have a phenomenal day!
Answer:
m∠Q = 61°
m∠S = 61°
m∠R = 58°
Step-by-step explanation:
Since we have an isosceles triangle, we know that ∠Q and ∠S are congruent.
Step 1: Definition of isosceles triangle
2x + 41 = 3x + 31
41 = x + 31
x = 10
Step 2: Find m∠Q
m∠Q = 2(10) + 41
m∠Q = 20 + 41
m∠Q = 61°
Step 3: Find m∠S
Since m∠Q = m∠S,
m∠S = 61°
Step 4: Find m∠R (Definition of a triangle)
Sum of angles in a triangle adds up to 180°
m∠R = 180 - (61 + 61)
m∠R = 180 - 122
m∠R = 58°
