Answer:
look at the photo I have sent
you wearing a mask right now???
Answer:
-n+33
Step-by-step explanation:
1. do distributive property
2. 7y+21-8n+12
3. combine like terms
4. 7n and 8n both are like terms so, 7n-8n= -1n or -n
5. 21 and 12 are like terms so, 21+12= 33
answer is: -n + 33 or -1n + 33
Answer:
31. x = √52
32. x = 5√2
Step-by-step explanation:
31. Draw a line from the top right corner straight down to the extended line. This forms a 30-60-90 triangle. Since the hypotenuse is 4 cm, the height is 2 cm, and the width is 2√3 cm.
Therefore, if we look at the overall right triangle, the height is 2 cm, the width is 4√3 cm, and the hypotenuse is x cm. Using Pythagorean theorem:
c² = a² + b²
x² = (2)² + (4√3)²
x² = 4 + 48
x = √52
32. Draw a line from the top point straight down to the base. This splits the bottom triangle into a 30-60-90 triangle and a 45-45-90 triangle.
The hypotenuse of the 30-60-90 triangle is 10 cm, so the base is 5 cm, and the height is 5√3 cm.
The height of the 45-45-90 triangle is 5√3 cm, so the hypotenuse is 5√6 cm.
Now if we look at the 30-60-90 triangle on the right, its height is 5√6 cm, so its base is 5√2 cm.