Answer:
The last angle is 60 degrees
Step-by-step explanation:
<u>All triangles add up to 180 degrees</u>
<u />
<u>Step 1: Make an equation</u>
What is the angle of a triangle if one angle is 68 and the other is 52.
<em>68 + 52 + x = 180</em>
<em />
<u>Step 2: Combine like terms</u>
68 + 52 + x = 180
<em>120 + x = 180</em>
<em />
<u>Step 3: Subtract 120 from both sides</u>
120 + x - 120 = 180 - 120
<em>x = 60</em>
<em />
Answer: The last angle is 60 degrees
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The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59
This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.
The n-th term is

The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
= 29 + 320
= 349
Answer: a₃₃ = 349
Answer:
m = 7
Step-by-step explanation:
3m + 8 + m = 36 , that is
4m + 8 = 36 ( subtract 8 from both sides )
4m = 28 ( divide both sides by 4 )
m = 7
The tree is 4 times as tall as the man, so we expect its shadow to be 4 times as long as the man's: 4 × 7.5 ft = 30 ft.