Definition of an exterior angle
At each vertex of a triangle, an exterior angle of the triangle may be formed by extending ONE SIDE of the triangle. See picture below.
Calculating the Angles
We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,
x + y + z = 180
Answer:
Step-by-step explanation:
To find the amount deposited, we will simply use the formula for calculating simple interest.
Simple Interest = pxrxt/100 (fraction)
Where p = principal
R= Rate
T= Time
Principal is the initial amount deposited which we are ask to find.
R is given to be 6% and T is the time which is given in years
Simple interest is the interest earned over the year which is given to be $400
Lets substitute our variable into the equation
Simple Interest = pxrxt/100 (fraction)
$400 = P × 6 × 3 / 100
$400 = 18p/100 (fraction)
We will then cross multiply
$40 000 = 18 P
To get the value of P, we divide both-side of the equation by 18
4000/18 = 18p/18 (fractions)
$2222.22 = P
P = $2222.22
credits: ummuabdallah
A)
To be similar triangles have to have equal angles
triangle ZDB'
1)angle Z=90 degrees
triangle B'CQ
1) angle C 90 degrees
angle A'B'Q=90
DB'Z+A'B'Q+CB'Q=180, straight angle
DB'Z+90+CB'Q=180
DB'Z+CB'Q=90
triangle ZDB'
DZB'+DB'Z=180-90=90
DB'Z+CB'Q=90
DZB'+DB'Z=90
DB'Z+CB'Q=DZB'+DB'Z
2)CB'Q=DZB' (these angles from two triangles ZDB' and B'CQ )
3)so,angles DB'Z and B'QC are going to be equal because of sum of three angles in triangles =180 degrees and 2 angles already equal.
so this triangles are similar by tree angles
b)
B'C:B'D=3:4
B'D:DZ=3:2
CQ-?
DC=AB=21
DC=B'C+B'D (3+4= 7 parts)
21/7=3
B'C=3*3=9
B'D=3*4=12
B'D:DZ=3:2
12:DZ=3:2
DZ=12*2/3=8
B'D:DZ=CQ:B'C
3:2=CQ:9
CQ=3*9/2=27/2
c)
BC=BQ+QC=B'Q+QC
BQ' can be found by pythagorean theorem
Answer:
y = -cos(x) -2
Step-by-step explanation:
Multiplying the function value by -1 reflects it across the x-axis. Adding -2 to the function value shifts it down by two units.
reflected: y = -cos(x)
then shifted: y = -cos(x) -2
