Answer:
BD = 28
AC = 24
Step-by-step explanation:
Diagonals of a parallelogram bisect each other.
4x − 2 = 3y − 1
3x = 3y − 3
Using elimination to solve the system of equations, subtract the second equation from the first.
(4x − 2) − 3x = (3y − 1) − (3y − 3)
4x − 2 − 3x = 3y − 1 − 3y + 3
x − 2 = 2
x = 4
Substitute into either equation to find y.
3(4) = 3y − 3
12 = 3y − 3
15 = 3y
y = 5
The length of BD is:
4(4) − 2 + 3(5) − 1 = 28
The length of AC is:
3(4) + 3(5) − 3 = 24
The way that I memorised how to do sin, cos, and tan is by the following: SOH, CAH, TOA
SOH = Sin is OPPOSITE / HYPOTENUSE
CAH = Cos is ADJACENT / HYPOTENUSE
TOA = Tan is OPPOSITE / ADJACENT
For example if we were to solve question 5
Sin T = 6 root 2 / 19
Cos T = 17 / 19
Tan T = 6 root 2 / 17
Repeat the steps for question 6
For the rest of the questions (7,8,9) you have to take the information given and figure out if you should us Sin, cos, or Tan. then plug the numbers in the calculator and while doing sin ^ -1, cos ^ -1, tan ^ -1
for example on question 7, to find the angle x they have given you the hypotenuse and the adjacent side so
cos x = 9 / 18
to find x plug: cos^-1 (9/18) in the calculator
Answer:
175 cm
Step-by-step explanation:
assuming it's a right triangle, the formula used is A= (1/2)(base)(height)
so (1/2)(14)(25)
which equals 175
Answer:
B. a reflection across X axis and then a dilation by a scale factor of 1.5
Step-by-step explanation:
As clear from the graph all the coordinates of image 2 are 1.5 times of image 1 so shape 2 is dilated by the scale factor 1.5.
It is evident from the graph that lines AO and A"O"are parallel to each other so shape 2 is the reflection of shape 1.
Now we calculate the magnitude of line AB
m1 = (y2-y1)/(x2-x1)
=(-3+6)/(-4.5=9)
=3/4.5
=1/1.5
=2/3
Next we calculate magnitude m2 of A"B"
m2= (2-4) /(-3+6)
=(-2/3)
Then we know Tan(180-∅) = -tan∅
similarly if m1=(-m2)
then the one line having magnitude m2 is the rotated image through X axis by 180° of the line having magnitude m1.
So the answer is B.
