Answer:
Angle 1 = Angle 2 = 5y -23 (Vertically opposite)
We can see that we have a triangle in the figure
Since the sum of all angles of a triangle is 180,
<em>(2x + 13) + (47) + (5y -23) = 180</em>
<em>2x + 5y + 37 = 180</em>
<em>2x + 5y = 143</em>
5y = 143 -2x -----------------(1)
Assuming l and m to be parallel
<em>angle 1 = 3x (corresponding angles)</em>
<em>5y - 23 = 3x </em>
<em>From equation (1)</em>
<em>143 -2x - 23 = 3x </em>
<em>120 = 5x </em>
x = 24 ---------------------- (2)
Using (2) in (1)
<em>5y = 143 - 2(24)</em>
<em>5y = 143 - 48</em>
<em>5y = 95</em>
y = 19
Therefore,
x = 24
y = 19
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Answer:
y=2x+1
Step-by-step explanation:
To find the answer, first graph the equation and find coordinates for atleast 2 points. We can find (0,7) and (1,9). Next we add 3 to the x coordinate of each point. We get (3,7) and (4,9). We know the slope which is 2. So our equation becomes y=2x+b. Next we substitube a coordinate pair, with y and x in the equation. We get 7=2*3+b. Solve and we get 1=b.
Therefore,
y=2x+1.
I hope this helps.
Answer:
Step-by-step explanation:
- <em>Take into account that a population data set contains all members of the group and a sample data set contains only a subpart of the group.</em>
<em />
- <em>In this case, Ms. Smith can take the scores of all students of the math class, due to this group is not enough big to consider to take a subpart.</em>
<em />
<u><em>Hence, Ms. Smith should consider her data as a population data set.</em></u>
Answer: 28
Step-by-step explanation:
The multiples of 7 that's less than 30 include: 7, 14 , 21 and 28.
From the numbers above,
7 isn't divisible by 4 as it gives a remainder.
14 isn't divisible by 4 as it gives a remainder.
21 isn't divisible by 4 as it gives a remainder.
28 is divisible by 4 without a remainder
Therefore, the correct answer should be 28
Answer:
see explanation
Step-by-step explanation:
To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term.
product = 2 × - 6 = - 12 and sum = + 11
The factors are + 12 and - 1
Use these factors to split the middle term
2x² + 12x - x - 6 = 0 ( factor the first/second and third/fourth terms )
2x(x + 6) - 1(x + 6) = 0 (factor out (x + 6) )
(x + 6)(2x - 1) = 0
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
2x - 1 = 0 ⇒ x = 
