Answer:
4.2mm
Step-by-step explanation:
This are two similar triangles.
Comparing the two:
8/3 = (7+x)/x
Cross multiplying
8x = 3 (7+x)
8x = 21 + 3x
8x - 3x = 21
5x = 21
Dividing by 5
X = 21/5
X = 4.2mm
The expression is given to be:
Recall the multiplication rule of exponent given to be:
Therefore, we can simplify the numerator to be:
Hence, the expression becomes:
Recall the division rule of exponent given to be:
Therefore, the expression becomes:
Evaluating the answer, we have:
Therefore, the answer is:
Kelly has $10
- half: $10 - 1/2 x $10
$10 - $5 = $5
- one third: $5 - 1/3 x $5
$5 - $1.6667... or $5 - $1 and 2/3 = $3.33... or $3 and 1/3 or $10/3
She will have left $3.33 left, or $3 and 1/3
Angle ACD and angle CAD are angles that add to 90 degrees (60+30 = 90) and they are non-adjacent. They do not share a common vertex. So this is why the two angles fit the description for number 12.
In contrast, two adjacent complementary angles are angle FDG and angle GDE. They add to 90 degrees and share the common vertex point D. They also share a common segment DG.
