Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, and , and is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
Answer:
31
Step-by-step explanation:
PEMDAS is Parentheses, Exponent, Multiplication, Addition, Subtraction
This is just the order you do the operations.
First, Parentheses.
Second, Exponents,
Third, Multiplication or Division
Last, Addition or Subtraction
So we have,
[6(20) + 3(15)] ÷ 5
We first look at Parentheses.
The first case is 6(20)
6(20) = 120
We have [120 + 3(15)]÷ 5
We solve 3(15) as its the next parentheses
3(15) = 45
We have [120 + 45] ÷ 5
Then we solve for [120 + 45] as it's in brackets.
[165] ÷ 5 = 31
The answer is 31.
Answer:
and .
Step-by-step explanation:
If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where , we just have to equalize them and find the solution for that equation:
So, applying the zero product property, we have:
Therefore, these two solutions mean that there are two points where both functions are equal, that is, when and .
So, the input values are and .
Answer:
74 inches
Step-by-step explanation:
P = 1/2(b1+b2)h
= 1/2(15+22)4
= 1/2(37)4
= 1/2(148)
= 74'
9514 1404 393
Answer:
1/3; geometric
Step-by-step explanation:
Apparently, your sequence is ...
81, 27, 9, 3, 1, ...
The differences between these numbers vary, but the ratio of each to the one before is a constant:
27/81 = 9/27 = 3/9 = 1/3
The sequence is geometric with a common ratio of 1/3. The next number in the sequence is (1)(1/3) = 1/3.