Step-by-step explanation:
Since we have given that
Total number of members in a sports club = 38
Number of women in the club = 14
Number of women play tennis =10
Number of men play tennis = 8
Since they all play either squash or tennis.
Total number of men in the club is given by
So, number of men playing squash is given by
Number of women playing squash is given by
so, the table is shown below :
Men Women Total
Tennis 16 4 20
Squash 8 10 18
Total 24 14 38
Answer:
m < A = 60º
m < B = 30º
Step-by-step explanation:
The given sides on this triangle are: 6, , and 12
Any triangle with the angles of 30º - 60º - 90º always has side lengths in this proportion:
x, , 2x
We can line this up with the given sides. If x is 6, then 2x would be 12.
x : : 2x = 6 :
: 12
Angle B is across from 6, the shortest side. That also means that it corresponds to x, or the smallest angle in the proportion, 30º.
m < B = 30º
Solving for < A:
Method 1) Sum of Angles in a Triangle
Since we already know that one angle is right and therefore 90º and m < B is 30º, we can subtract these from the total sum of angle measures in a triangle to get the last angle, < A.
180º - 90º - 30º = 60º
m < A = 60º
Method 2) Using the second part of the proportion
Since m < A is across from the second largest side, we know that it is equal to (
in this question) or 60º in the angle proportion.
This means that m < A = 60º
Let me know if you have any questions!
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor =
=
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
=
=
=
=
Length of GH = Distance between G(0, -1) and H(-1, 0)
=
=
Scale factor =
= 7
