Answer:
scalene
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
3x + 28
5x + 52
<u>+ 2x - 10 </u>
10x + 70 = 180º
x = 11
3(11) + 28 = 61º
Answer:
2x-15 < or = -23
Step-by-step explanation:
Let x be the number.
Twice that number is 2x. 15 less than that is -15.
2x-15 < or = -23
Answer: 12 in. by 10 in.
Step-by-step explanation:
Given: The dimensions of photo is 10 in. by 8 in.
Therefore, Area of photo= 
Area of frame with photo=120 square inches
Let x be the width of the frame, then we have
Length of frame with photo= 10+2x inches
Width of frame with photo =8+2x inches
Now, 
![80+16x+20x+4x^2=120\\\Rightarrow\ 4x^2+36x-40=0\\\Rightarrowx^2+9x-10=0\\\(x-1)(x+10)=0\\\Rightarrow\ x=1,...........[text{Since length can not be negative so it cannot be -10}]](https://tex.z-dn.net/?f=80%2B16x%2B20x%2B4x%5E2%3D120%5C%5C%5CRightarrow%5C%204x%5E2%2B36x-40%3D0%5C%5C%5CRightarrowx%5E2%2B9x-10%3D0%5C%5C%5C%28x-1%29%28x%2B10%29%3D0%5C%5C%5CRightarrow%5C%20x%3D1%2C...........%5Btext%7BSince%20length%20can%20not%20be%20negative%20so%20it%20cannot%20be%20-10%7D%5D)
Thus, dimension of frame = 
Answer:

Step-by-step explanation:
1. Find the eighth term
You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it
The general formula for the nth term (aₙ) is
aₙ = a₁ + (n - 1)d
where a₁ is the first term and d is the common difference (5) between consecutive terms. Thus,
a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110
2. Find the sum
The formula for sum of the first n terms of an arithmetic sequence is

So
