Answer:
ABC is an isosceles triangle.
Because it consists of two congruent triangles created by CD, side AC = CB, making it an isosceles triangle.
Step-by-step explanation:
I can conclude that triangle ABC is an isosceles triangle.
Perpendicular means intersecting at 90°. Bisector means intersecting at the midpoint, halfway between the two ends.
Since CD is dropped from vertex C and is a perpendicular bisector of AB, angle C is also bisected.
Therefore angle C for both triangles CDA and CDB is of equal measure.
We know angle D for both triangle CDA and CDB is of equal measure, 90°, because CD is a <em>perpendicular </em>bisector of AB.
The two triangles also share the same side CD.
Triangles CDA and CDB are congruent for having 2 equal angles and 1 equal side (ASA property).
Since they are congruent, AD = AB and AC = CB. Therefore triangle ABC is an isosceles triangle.
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Answer:
$191
Step-by-step explanation:
The function is given by :
m(x) = 4.50x-7 ...(1)
Where
m(x) is the total cost if you buy x 12 packs of Mountain Dew.
We need to find the cost you pay to buy 44 12-packs of Mountain Dew
Put x = 44 in equation (1), we get :
m(x) = 4.50(44)-7
m(x) = 198-7
m(x) = $191
Hene, the cost for 44 12- packs of Mountain Dew is $191.
The function is given in <u>point-slope form</u>, which is:
y₂ - y₁ = m(x₂ - x₁)
The equation they gave you is:
y - 4 = -3(x + 2)
An x of -2 and a y of 4 are in the equation:
(-2, 4)
Therefore, the point (-2, 4) lies on the line of the given equation, or B.
<em>Hope this helps! :)</em>
A standard deck has 52 cards. divide 52 by 8(the number of aces and kings combined) to find out the probability and picking one. The probability of picking an ace of a king is about 15.3%.