Answer:
- 1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
<h3>#1</h3>
<u>Sum of interior angles is 180</u>
- 70 + 46 + x = 180
- 116 + x = 180
- x = 64
<h3>#2</h3>
<u>Sum of interior angles is 180</u>
- 84 + 7x + 1 + 9x - 1 = 84
- 16x + 84 = 180
- 16x = 96
- x = 6
<h3>#3</h3>
<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>
- 35 + 25 = 34 + x
- 60 = 34 + x
- x = 60 - 34
- x = 26
<h3>#4</h3>
<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>
- 5x - 7 + 6x + 3 = 84
- 11x - 4 = 84
- 11x = 88
- x = 8
- m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
Answer:
1600 integers
Step-by-step explanation:
Since we have a four digit number, there are four digit placements.
For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.
For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.
For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.
So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers
Answer:
Answer is 9 feet = 9 fe 2t
w= 9fe 2t
Step-by-step explanation:
This is a positive statement
