<span>This is an example of the substitution property of equality, meaning that if pq = 3, you may substitute 3 for pq in another related equation. So if pq+rs=5 is true, then 3+rs=5 is true as well.</span>
Answer:
m<R = m<T = 80.5 deg
Step-by-step explanation:
3)
Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.
m<WXZ = 8x - 19 = 45
8x - 19 = 45
8x = 64
x = 8
4)
Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.
The sum of the measures of the interior angles of a convex, n-sided polygon is
180(n 2).
A kite is a quadrilateral, so n = 4.
180(4 - 2) = 180(2) = 360
The sum of the measures of the interior angles of a kite is 360 deg.
m<Q + m<R + m<S + m<T = 360
75 + m<R + 124 + m<T = 360
m<R + m<T + 199 = 360
m<R + m<T = 161
m<R = m<T, so we substitute m<T with m<R.
m<R + m<R = 161
2m<R = 161
m<R = 80.5
m<R = m<T = 80.5 deg
Answer:
Time spend by Adelina at the tutoring session is 30 minutes.
Step-by-step explanation:
Given : In a tutoring session, 
of an hour was spent reviewing math problems and Adelina attended 
of the tutoring session.
We have to find the time Adelina spend at the tutoring session.
We know, 1 hour = 60 minutes.
Total time taken in tutoring session = 
minutes.
also, Adelina attended of the tutoring session that is of 40 minutes.
that is 
minutes.
Thus, time spend by Adelina at the tutoring session is 30 minutes.
Answer:
100
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
x(x - y)²
x = 4
y = 9
Step 2: Substitute and Evaluate
4(4 - 9)²
4(-5)²
4(25)
100
