Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
2 consecutive even integers : x and x + 2
x + x + 2 = 170
2x + 2 = 170
2x = 170 - 2
2x = 168
x = 168/2
x = 84
x + 2 = 84 + 2 = 86
so ur 2 numbers are 84 and 86
Answer:
a) 16.25 centimeters
b) 6.8 centimeters
Step-by-step explanation:
We can set up a proportion for both of these problems.
a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:
6.5/x
x represents the length you're trying to find.
Since the triangles are similar, we have an equation:
7.2/18=6.5/x
Cross multiply
16.25
XZ is 16.25 centimeters long.
b)
We can do same thing:
7.2/18=x/17
Cross multiply
6.8
QR is 6.8 centimeters long.
Hope this helps!
x²+y²-2x-6y-5=0
x²-2x+y²-6y=5
x²-2x+1+y²-6y+9=5+1+9
(x-1)²+(y-3)²=15
(x-1)²+(y-3)²=(V15)²
-> centre of the circle: C(-1,-3)
-> radius of the circle: V15
Answer:
x= 1, -1
Step-by-step explanation:
