Answer:
x= (4,-7)
y= (6,-10)
z= (7,-4)
Step-by-step explanation:
Given:
The inequality is:

To find:
The y-intercept, slope and type of line (solid or dotted).
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,

The relation equation is:
...(ii)
On comparing (i) and (ii), we get


It means the slope is 5 and the y-intercept is 3.
The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.
Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.
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Answer:
A right triangle
Step-by-step explanation:
All interior angles in a triangle are equal to 180°.
x+x+2x = 180°
4x = 180°
x = 45°
So two of the angles are 45°, and the remaining angle is 45°×2 = 90° (a right angle).
Answer:
m∠QRS = 52°
Step-by-step explanation:
From the given figure,
In right triangles ΔRQT and ΔRST,
QT = TS = 7.5 units [Given]
RT ≅ RT [Reflexive property]
ΔRQT ≅ ΔRST [By HL theorem of congruence]
Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]
m(∠QRS) = 2m(∠QRT)
= 2×(26°)
= 52°