Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Answer:
75 times
Step-by-step explanation:
First of all let's ook at the 36 possible outcomes and their sums.
2=1,1
3=1,2 2,1
4=1,3 ; 2,2 ; 3,1
5=1,4 ; 2,3 ; 3,2 ; 4,1
6=1,5 ; 2,4 ; 3,3 ; 4,2 ; 5,1
7=1,6 ; 2,5 ; 3,4 ; 4,3 ; 5,2 ; 6,1
8=2,6 ; 3,5 ; 4,4 ; 5,3 ; 6,2
9=3,6 ; 4,5 ; 5,4 ; 6,3
10=4,6 ; 5,5 ; 6,4
11=5,6 ; 6,5
12=6,6
Looking at the above, there are 4 sums equal to 5 out of a total of 36 sums.
Thus, probability of getting a sum equal to 5 is;
P(5) = 5/36
Now,since the cubes are rolled 540 times, number of times a sum equal to 5 will appear will be;
(5/36) x 540 = 75 times
Answer:
Two parallel lines
Step-by-step explanation:
the slopes are the same: slope = 3
f(x) 3x + 5 g(x) = 3x - 2
Pick at least three x values and find their corresponding values for y. Remember the f(x) and g(x) represent y
f(x) = 3x + 5 g(x) = 3x - 2
y = 3x + 5 y = 3x - 2
let x = 0 y = 3(0) + 5 y = 3(0) - 2
y = 5 y = -2
Ordered pair (0, 5) (0, -2)
Let x = 1 y = 3(1) +5 y = 3(1) - 2
y = 8 y = 1
ordered pair (1, 8) (1, 1)
Let x = -1 y = 3(-1) + 5 y = 3(-1) - 2
y = 2 y = -5
ordered pair (-1, 2) ( -1, -5)
Locate the ordered pairs and draw the graph on the lines.
you will graph two parallel lines
The perimeter is 988 meters
Further explanation:
The given square has different length and breadth which means that the given square is a rectangle.
The formula for perimeter of a rectangle is:
Given
Length=L=256m
Breadth=W=238m
Putting the values in the formula:
The perimeter is 988 meters.
Keywords: Rectangle, Perimeter
Learn more about perimeter at:
#LearnwithBrainly
Answer:
y = 2
Step-by-step explanation:
6y + 3 = 4y + 7
6y - 4y = 7 - 3
2y = 4
<em>y = 2</em>
