Answer:
1) 128°
2) 126°
3) 108°
<h2>
Question one:</h2>
The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.
38 + 90 + (180-x) = 180
38 + 90 + 180 - x = 180
38 + 90 + 180 - 180 - x = 0
38 + 90 + 180 - 180 = x
128 = x
<h2>
Question two:</h2><h2>
</h2>
again, adding all the interior angles makes 180°. use this to make the equation.
3x + (5x-6) + 90 = 180
3x + 5x - 6 = 90
8x = 96
x = 12.
x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,
180 - (5x-6) = the answer
180 - 5x + 6 = the answer
substitute x for 12
180 - 60 + 6 = the answer
126 = x
<h2>Question three</h2>
again, adding all the interior angles together makes 180°.
(a + 10) + 44 + (180-2a) = 180
a + 10 + 44 + 180 - 2a = 180
-a + 234 = 180
234 - 180 = a
54 = a
however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.
x = 108
Answer:
Step-by-step explanation:
Comparing the triangles in the given questions, the following can be deduced:
5. The scale factor = 
= 
≠ 
So that;
QR is similar to UT, PR is similar to US, but PQ is NOT similar to TS.
Thus, the triangles are NOT similar.
6. Scale factor = = = 
= 1.5
So that;
QR is similar to UT, PR is similar to US, but PQ is similar to TS.
Thus, the triangles are similar by Side-Side-Side (SSS).
7. Here, an exact scale factor can not be determined. Thus, the triangles are NOT similar.
Answer:
The coefficient is -5, and the base is 12.
Step-by-step explanation:
The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression 
. The base would be the little subscript number that is next to the variable, so the base in the expression is 12.
Answer:
The method used is substitution method
x = 2, y = -6
Step-by-step explanation:
Given the simultaneous equation
Y = −3x ..... 1
4x + y = 2 ... 2
Substitute equation 1 into 2
4x + (-3x) = 2
4x - 3x = 2
x = 2
Get y:
y = -3x
y = -3(2)
y = -6
<em>Hence the value of (x, y) is (2, -6)</em>
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