Answer:
a) Similar triangles are triangles with the same shape but not necessarily the same size
b) 15/45 = 8/x
1/3 = 8/x (simplify the 15/45)
x = 8 * 3 (cross multiplication)
x = 24
c) y^2 = 15^2 + 8^2 (Pythagoras theorem)
y = *square root of* 15^2 + 8^2
y = 17
1/3 = 17/z
z = 17 * 3 (cross multiplication)
z = 51
Answer:
1) 2 1/4 inches (2.25)
2) 5.3 millimeters
3) X=10 and YZ=60
Step-by-step explanation:
Number 1, you just add the measurements because n and q is the start and end of the line segment.
Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.
Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.
Answer:
a=28m^2
Step-by-step explanation:
Given:
l=14m
w=200cm
Required
a=?
w in meters
Formula:
1m=100cm
b=200cm---criss cross it
b*100cm/100cm=1m*200cm/100cm
b=2m
a=l*w
a=14m*2m
a=28m^2
For this case we must indicate an expression equivalent to:
For properties of powers we have to:
So, the above expression can be rewritten as:
Thus, the resulting expression is: 
Answer:
Option D
Answer:
(-∞, ∞)
Step-by-step explanation:
The range of any log function is <em>all real numbers</em>.
