Answer:
The correct answer will be; B or 40.
Step-by-step explanation:
Because when the ratio of boys changed from 8 to 32, it increased by "time 4" (8*4 = 32), so the same pattern will be followed for girls, multiplying the number that you already have by four; 10 (amount of girls given) * 4 = 40.
Hope this helped, Good Luck!
Answer:
BE = FC = 3 inches, EF = 2 inches
Step-by-step explanation:
The sum of angles A and D is 180°, so the sum of their half-angles is 90°. That is, half of A plus half of B add to 90°, so the bisector from B intersects AE at a right angle. Call that point of intersection X.
Then angle ABX = angle EBX, so triangle ABX is congruent to triangle EBX. Sides AB and BE are corresponding sides of congruent triangles.
The same argument applies to sides DC and CF.
Thus we have BE = CF = 3 inches, and EF is the left-over distance, 2 inches.
{\text{Direction of parabola depends on the sign of quadratic coefficient of a }} \hfill \\
{\text{quadratic equation}}. \hfill \\
{\text{For given quadratic equation}}. \hfill \\
a{x^2} + bx + c = 0 \hfill \\
{\text{The parabola is in the upward direction if }}a{\text{ }} > {\text{ }}0{\text{ and in downward direction if }}a < 0 \hfill \\
{\text{Here, the equation of given parabola is }} \hfill \\
{x^2} - 6x + 8 = y \hfill \\
\Rightarrow y = \left( {{x^2} - 6x + 9} \right) - 9 + 8 \hfill \\
\Rightarrow y = {\left( {x - 3} \right)^2} - 1. \hfill \\
{\text{Thus, the parabola is in the upward direction}} \hfill \\
Answer:
X=4
Step-by-step explanation:
Figure B is .8 times the size of Figure A, so to find the value of x you would take the scale factor and multiply it by 5 in this case.
Answer:
The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.
Step-by-step explanation:
In a regular polygon all the sides are equal and also all the angles are equal. The sum of the interior angle of a polygon can be calculated with the following formula;
sum of interior angle = (n−2) × 180°
where
n = number of sides
The sum of the interior angle should be less than 7500 and greater than 7201.
sum of interior angle = (n−2) × 180°
less than 7500 and greater than 7201 = (43 - 2) × 180
less than 7500 and greater than 7201 = 41 × 180
less than 7500 and greater than 7201 = 7380
°
The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.
