Answer:
7 units
Step-by-step explanation:
I plotted your points to form the polygon in the diagram below.
The vertical side joins the points (0 ,3) and (0, -4).
The vertical distance between them is
3 - (-4) = 3 + 4 = 7
The length of the vertical side is 7 units.
Answer:x=10
Step-by-step explanation:
This shows that there are 141 men and 21 women in the meeting
Let the number of men present be x
Let the number of women present be y
If the total number of students present in the meeting is 162, hence;
x + y = 162 ............ 1
If there were <u>15 men more than 6 times the women</u>, then;
x = 6y + 15 ...................2
Substitute equation 2 into 1:
6y + 15 + y = 162
7y + 15 = 162
7y = 162 - 15
7y = 147
y = 21
Recall that x = 6y + 15
x = 6(21) + 15
x = 126 + 15
x = 141
This shows that there are 141 men and 21 women in the meeting
Learn more here: brainly.com/question/13805464
Answer
Option B is correct.
Angle ABC = 68°
Explanation
To answer this question, we need to first note that when a triangle has two sides that are equal in length (isoscelles triangle), the base angles of those two sides are often equal to each other.
We also need to note that the sum of angles in a triangle = 180°
And the sum of angles on a straight line = 180°
AB = AC
This means that
Angle ABC = Angle BCA
AC = CD
This means that
Angle CAD = Angle ADC
We are given that Angle ADC = 34°
Angle CAD = Angle ADC = 34° (Base angles of an isoscelles triangle are equal)
So, we can then find the third angle of triangle ACD
Angle ACD + Angle CAD + Angle ADC = 180° (Sum of angles in a triangle)
Angle ACD + 34° + 34° = 180°
Angle ACD + 68° = 180°
Angle ACD = 180° - 68° = 112°
Angle BCA + Angle ACD = 180° (Sum of angles on a straight line)
Angle BCA + 112° = 180°
Angle BCA = 180° - 112°
Angle BCA = 68°
Then, we can easily recall that
Angle ABC = Angle BCA (Base angles of an isoscelles triangle are equal)
Angle ABC = Angle BCA = 68°
Hope this Helps!!!
Yes, it is random because it isn't convenient for him.
