Answer:
C. m∠x + m∠y = 180
Step-by-step explanation:
The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.
The only statement from the given options that is true is m∠x + m∠y = 180.
This is because they are angles in a straight line. The sun of angles in a straight line is 180°.
Answer:
scale factor of the smaller prism to the larger prism is B. 21/23
Step-by-step explanation:
Given
surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?
scale factor is ratio of sides of two similar objects
thus scale factor for given prism will be = side of smaller prism / side of larger prism
in general rule
If shape of solid has scale factor of k
scale factor of area = k²
scale factor of volume = k³
_____________________________
Given in the problem area of two prism is given
we know area = side^2
scale factor of area = k²
k^2 = area of smaller prism / area of larger prism
Thus, correct option is B 21/23.
They must conform with Pythagoras theorem
It is set 4 because
(sqrt 2)^2 + (sqrt 7)^2 = 3^2
2 + 7 = 9
2 nickels (5 cents each)
3 dimes (10 cents each)
1 quarter (25 cents)
1 nickel, 1 dime, 1 quarter
5 + 10 + 25 = 40
2 nickels, 1 dime, 1 quarter
5(2) + 10 + 25 = 45
1 nickel, 2 dimes, 1 quarter
5 + 10(2) + 25 = 50
1 nickel, 3 dimes, 1 quarter
5 + 10(3) + 25 = 60
2 nickels, 2 dimes, 1 quarter
5(2) + 10(2) + 25 = 55
2 nickels, 3 dimes, 1 quarter
5(2) + 10(3) + 25 = 65
You can make 6 different amounts.
You could also find this by multiplying however many coins you have all together.
2 * 3 * 1 = 6
Y = 4x + 5
slope = 4
perpendicular, slope = - 1/4
passing thru (8,3)
equation
y - 3 = -1/4 (x - 8)
y - 3 = -1/4x + 2
y = -1/4x +5
answer is D. y = -1/4x +5
