Answer:
29°
Step-by-step explanation:
∠1 ≅ ∠8
3x+25 = 4x -17
42 = x . . . . . . . . . . add 17-3x
Now, we can find the measure of ∠1:
m∠1 = 3(42) +25 = 151
Angle 2 is the supplement to this, so has measure ...
m∠2 = 180° -151° = 29°
<span>1.You should set up the long division.
</span>
2 <span>Calculate 43 ÷ 7, which is 6 with a remainder of 1.
</span>
3 <span>Bring down 1, so that 11 is large enough to be divided by 7.
</span>
4 <span>Calculate 11 ÷ 7, which is 1 with a remainder of 4.
</span>
5 <span>Bring down 8, so that 48 is large enough to be divided by 7.
</span>
6 <span>Calculate 48 ÷ 7, which is 6 with a remainder of 6.
</span>
7 <span>Therefore, 4318 ÷ 7 = 616 with a remainder of 6.
</span><span>
616 with</span> a remainder of 6 or 616.8571
<h3>
Answer: 8p^3 + 10p^2 + 14p</h3>
Explanation:
The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside
2p times 4p^2 = 2*4*p*p^2 = 8p^3
2p times 5p = 2*5*p*p = 10p^2
2p times 7 = 2*7p = 14p
The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.
Answer:
r = 3.
Step-by-step explanation:
16 = 10 + √(3r + 27)
√(3r + 27) = 6
Square both sides:
3r + 27 = 36
3r = 36 - 27 = 9
r = 3.
Check the result:
Left side of the equation = 16
Right side = 10 + √(9 + 27)
= 10 + √36 = 16
