Answer:
Step-by-step explanation:
Given :
QR⊥PT
To Prove :
Solution:
Statements Reasons
QR⊥PT Given
∠QRP and ∠SRT are right angles Def of perpendicular
∠QPR≅∠STR Given
∠QRP = ∠SRT All right angles are equal
ΔPQR≈ΔTSR AA similarity
Hence
Answer: OPTION B.
Step-by-step explanation:
1. By definition, the line intercepts the x-axis when y=0. Therefore, you must susbtitute y=0 into the equation of the line given in the problem and solve for x, as you can see below:
2. Knowing that the x-intercept of the line from the equation and is -2 and the x-intercept from the description is (0,0), you can conclude that the correct option is B.
- A line passes through (9,2) and (12,-4).
- So, x = 9, y = 2
- x = 12, y = -4
<u>For </u><u>the </u><u>1</u><u>s</u><u>t</u><u> </u><u>equation</u><u>,</u><u> </u>
- 2x + y = 20
- Putting x = 9, y = 2
- or, 2 (9) + 2 = 20
- or, 18 + 2 = 20
- or, LHS = RHS
- Now, putting x = 12, y = -4 in the above equation, we have
- 2(12) + (-4) = 20
- or, 24 - 4 = 20
- or, LHS = RHS.
- So we can see that the first equation is the equation of the line.
- This is given in the graph in the picture.
- Like this way, if we check with other equations, we see that they are not the required equation of the line.
<u>Answer</u><u>:</u>
<u>A.</u><u> </u><u>2</u><u>x</u><u> </u><u>+</u><u> </u><u>y </u><u>=</u><u> </u><u>2</u><u>0</u>
Hope you could get an idea from here.
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Answer:
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