The line n intersects line m and at the point of intersection two angles are formed, which are 3x and x.
Please note that angles on a straight line equals 180 degrees. That means angle 3x and angle x both sum up to 180. This can be expressed as;
3x + x = 180
4x = 180
Divide both sides of the equation by 4 (to eliminate the 4 on the left hand side and isolate the x)
x = 45
Answer:
36 & 54
Step-by-step explanation:
<em><u>By </u></em><em><u>Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
- Sum of numbers = 90 .
- Difference of numbers = 18 .
<em><u>Let </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
- First Number be x .
- Second number be y .
<em><u>According</u></em><em><u> to</u></em><em><u> </u></em><em><u>1</u></em><em><u>s</u></em><em><u>t</u></em><em><u> </u></em><em><u>condition</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
x + y = 90
<u>According</u><u> to</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>
x - y = 18
<em><u>Adding</u></em><em><u> the</u></em><em><u> </u></em><em><u>equations</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
2x = 18 + 90
2x = 108
x = 54
<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
First number = 54
Second number = 36
Answer:
a) Sample A
b) Sample D
Step-by-step explanation:
The sample that will provide the most significance evidence for the claim is the one that has the bigger proportion of US citizens who can name the capital city of Canada.
The sample that has the bigger proportion is Sample A, with p=38/40=0.95.
The samples that have a proportion of 0.75 of less surely will give no evidence for the claim.
The sample D has a proportion of p=27/40=0.675, which is less than 0.75, so it doesn't provide evidence for the claim.
Sample C has a proportion of 0.775. Is very close to 0.75, but its value as evidence depends on the level of significance of the test.
Answer:
Step-by-step explanation:
A) 5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides. This result is never true, so NO SOLUTION
B)3x−9=3(x−3) Performing the indicated multiplication, we get
3x - 9 = 3x - 9. This is always true, so there are INFINITELY MANY SOLUTIONS
C)2x−6=−2(x−3) Performing the indicated multiplication, we get
2x - 6 = -2x + 6. Adding 2x - 6 to both sides results in
4x - 12 = 0, or 4x = 12. Thus, the solution is x = 3. ONE SOLUTION
D)2x+6−5x=−3(x This equation is incomplete