Answer:
b = -6
Step-by-step explanation:
Apply the exponent rule that
In this case, 
Set that equal to
:

Apply the exponent rule that
so now you get:

Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.
4b = -24
divide each side by 4 to get:
b = -6
Answer:
Area of rectangle = 10 units²
Area of triangle = 10 units²
Area of figure = 20 units²
Step-by-step explanation:
2.3+0.23 = 2.53
2.53+0.023 = 2.553
Answer:
x = 16
y = 20
Step-by-step explanation:
the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.
since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²
; 9² + 12² = c²
; 225 = c²
;√225 = c
; 15 = c
since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',
;
;
x 9 = Sinx
36.86 = x
now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.
; 90 - 36.86 = 53.13

;
x Sin 90 = 20
y = 20
again, since we have 2 sides of a right angled triangle we use a² + b² = c²
we arrange this formula since we have the hypotenuse
; 20² - 12² = 256
; √256 = x
; 16 = x
Option D: 140° is the right answer
Step-by-step explanation:
In the given figure, a traversal is intersecting two parallel lines.
When two parallel lines are intersected by a traversal 8 angles are formed.
Corresponding angles:
Corresponding angles have same relative position when two parallel lines are intersected by a traversal So in the given figure the corresponding angles are:
m∠1 and m∠5
m∠2 and m∠6
When two parallel lines are intersected by a traversal, the corresponding angles are equal
So,
m∠1 = m∠5
m∠5 = 140°
Hence,
Option D: 140° is the right answer
Keywords: Traversal, parallel lines
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