In the first figure angles (D and B) and (A and C) are both equal to each other and a quadrilateral must add up to 360 degrees, so angle (A and C) and (D and B) are supplementary angles. And angles g and f are complementary angles only if E = 90 degrees
The answer is: " <span>1.045 * 10¹⁰ " .</span>
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Explanation:
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"5.5 million = 5,500,000 = 5.5 * 10 ⁶ " ;
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"1.9 thousand = 1,900 = 1.9 * 10³ " ;
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So; "<span>5.5 million * 1.9 thousand" ;
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= (</span>5.5 * 10 ⁶) * (1.9 * 10³) = 5.5 * 10⁶ * 1.9 * 10³ ;
= 5.5 * 1.9 * 10⁶ * 10³ ;
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Note the following properties of exponents:
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xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
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As such, " 10⁶ * 10³ = 10⁽ ⁶ ⁺ ³⁾ = 10⁹ " ;
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So; rewrite:
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5.5 * 1.9 * 10⁶ * 10³ ;
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= 5.5 * 1.9 * 10⁹ ;
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5.5 * 1.9 = 10.45 ;
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Rewrite as: " 10.45 * 10⁹ " ;
In scientific notation, we need to rewrite as an single digit integer, followed by a decimal and other values (if applicable); following by * 10 raised to the appropriately adjusted exponential power.
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As such, we write the value as:
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" 1.045 * 10¹⁰ " .
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They gave you the lengths showing each side of the original triangle is congruent to each side of the new triangle. There is no information to show if the triangle was rotated or reflected, so although it is possible that it was, we can't really tell. All we know is the triangles are congruent.
Answer: Second Option
(Point in Quadrant I)
Step-by-step explanation:
The solution to a system of linear equations is the point where the two lines intersect.
Note that in this case we have two lines with different slope . By definition, if two lines have different slopes and are contained in the same plane, then there will always be an intersection between them at some point in the plane.
Looking at the image, you can see that the lines get closer as x and y increase. Then they will intercept in the first quadrant.