Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB = 
---------------------------------------
Using the cosine ratio in right triangle DBC
cos p = 
= 
= 
, thus
p = 
( ) ≈ 59°
Answer:
This is a educated guess, but x is 80 and y is 100.
Step-by-step explanation:
My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.
Answer:
A n B = {6}
Step-by-step explanation:
Given he sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3)
A = {2, 4, 6, 8}
B = {3, 6, 9, 12, 15...}
A n B includes the numbers are are common to both sets i.e number that we can find in both A and B.
From the set given, we can see that the only number that exists in both set is 6, hence;
A n B = {6}
Answer:
m = 28
Step-by-step explanation:
70 × 2 = 5m
140 = 5m
28 = m
Answer:
False
Step-by-step explanation:
girls : boys : total
5 : 6 :11
Multiply each term by 2
10: 12 :22
Ratio of girls to boys
10:12
Divide by 2
5:6
The ratio of girls to boys is still 5:6 but the total students is 22
