Answer:
-4+-4
Step-by-step explanation:
You use the butterfly method:
360 24
___ ___
X 100
multiply 360 by 100 to get 36000
then divide by 24 to get 1500
The sum of Supplementary angle =180 degrees
(2x+3)⁰ +(3x+2)⁰=180⁰
adding like terms
5x+5=180
5x=180-5
5x=175
x=175/5 =35 degrees
so the two angles are :
(2x+3)⁰ =2*35 +3 = 73⁰
(3x+2)⁰=3*35 +2 =105+2 = 107⁰
so correct option is D , 73⁰ and 107⁰
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.
Answer:
The correct option is;
C) 6554
Step-by-step explanation:
The given data are;
Day, Amount of change in Bacteria
1, 2
2, -8
3, 32
4, -128
Given that the data follows a geometric sequence, we have;
The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;
Which gives;
Therefore, the correct option is C) 6554.
