Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠LOM+m∠MON=m∠LON ----> by angle addition postulate
we have
m∠LOM=2x°
m∠MON=x°
m∠LON=90° ----> is a right angle
substitute the values
solve for x
Answer:
b. 30 ft³
Step-by-step explanation:
5 × 8 is the volume of one side.
5 × 8 = 40
40 + 40 + 40 = 120
120 in.³
Answer:
For example, [latex]\text{60%}=\frac{60}{100}[/latex] and we can simplify [latex]\frac{60}{100}=\frac{3}{5}[/latex]. Since the equation [latex]\frac{60}{100}=\frac{3}{5}[/latex] shows a percent equal to an equivalent ratio, we call it a percent proportion.
Step-by-step explanation:
1. A geometric sequence has a common ratio. You can find the ratio by dividing every number by its previous one. If it is consistent, then the series is geometric.
a: 8/1=8, 27/8=3.375
b: (-3/2)/3=-1/2, (3/4)/(-3/2)=-1/2
c. 7/4=1.75, 10/7=1.429
d. 20/25=0.8, 14/20=0.7
Choice b is the only one that has a common ratio, so it is a geometric series.
2. Every term is multiplied by 1/3, so the common ratio is 1/3. d is the answer.
Answer:
=3x+2
Step-by-step explanation:
Let's simplify step-by-step.
6x+1−(3x−1)
Distribute the Negative Sign:
=6x+1+−1(3x−1)
=6x+1+−1(3x)+(−1)(−1)
=6x+1+−3x+1
Combine Like Terms:
=6x+1+−3x+1
=(6x+−3x)+(1+1)
=3x+2
Let's simplify step-by-step.
6x+1−(3x−1)
Distribute the Negative Sign:
=6x+1+−1(3x−1)
=6x+1+−1(3x)+(−1)(−1)
=6x+1+−3x+1
Combine Like Terms:
=6x+1+−3x+1
=(6x+−3x)+(1+1)
