PQRS is a parallelogram Given
SR=PQ property of parallelogram
m∠S=m∠Q property of parallelogram
SP=QR property of parallelogram
XP=RY given
SP-XP=QR-RY substitution
SX=QY segment subtraction
ΔSRX is conggruent to ΔQPY SAS theorem (side-angle-side)
XR=YP CPCTC (corresponding parts of congruent triangles are congruent)
M can be any positive real number.
Explanation:
From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve
From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.
Given we concluded that the range of f(x) can only be 0 or positive, then me can only be 0 or positive.
Answer:
A=πr2
Step-by-step explanation:
area = pie * radius (to the power of 2)
pie = 3.14
radius = middle point till the line of the circle
Answer: Side of largest square tile will be 105 feet.
Explanation:
Since we have given that
dimensions of the wall is 42 feet by 10 feet
So,
Length of wall = 42 feet
Breadth of wall = 10 feet
First we calculate the H.C.F. of 42 and 10,
which is 2 only.
The largest square tile side would be 2 feet.
Now, we find the number of tiles used,
Number of tiles =

We get integer value of number of tiles.
Therefore, Side of largest square tile will be 2 feet.
Answer:

Step-by-step explanation:
As we are given the adjacent (a) side and the hypotenuse (h), we can use the cosine function to find the measure of angle B.
Recall that 
This means that in order to find B, we need to take the inverse of cosine
This gives us

From a calculator, we find that the answer of this is

When this is rounded to the nearest hundredth, we get
