Answer: <em>y = 3/4 x + 8</em>
Step-by-step explanation: First you must find the slope of line k.
<em>y2 - y1</em>
<em>m = -----------</em> <em>The slope is 3/4</em>
<em> </em><em>x2 - x1</em>
Since the two lines are paralell you know that line h has the same slope.
Next you must find the y-intercept by replacing x and y with the values given by the point.
<em>y = 3/4x + ? -----> 12 = 3/4(4) + ?</em>
<em> 12 = 3 + 8</em>
The y-intercept is 8
Your equation for line h is <em> </em><em>y = 3/4 x +8 </em>
<em></em>
<em>Hope this was helpful!</em>
Answer:
D. AC ≅ DF
Step-by-step explanation:
According to the AAS Theorem, two triangles are considered congruent to each other when two angles and a mon-included side of one triangle are congruent to two corresponding angles and a corresponding non-included side of the other.
Thus, in the diagram given:
<A and <B in ∆ABC are congruent to corresponding angles <D and <E in ∆DEF.
The only condition left to be met before we can conclude that both triangles are congruent by the AAS Theorem is for a mon-included side AC to be congruent to corresponding non-included side DF.
So, AC ≅ DF is what is needed to make both triangles congruent.
Selling price of the chair = 1440 rupees
Percentage of loss made by the shopkeeper = 10%
Let us assume the price at which the shopkeeper bought the chair = x
Then
90% * x = 1440 rupees
(90/100) * x = 1440 rupees
9x/10 = 1440 rupees
9x = 1440 * 10 rupees
9x = 14400 rupees
x = 14400/9 rupees
= 1600 rupees
So the price at which the shopkeeper bought the chair was 1600 rupees. I hope the procedure is clear enough for you to inderstand.
ANSWER:
y=3/4x-3
How to solve:
Slope: 3/4
(4,0)
y-y=m(x-x)
y-0=3/4(x-4)
y=3/4x-1
