Answer: 10
Step-by-step explanation:
we know that
The sum of the internal angles in the triangle must be
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC

solve for x



therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x



therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD

solve for y




therefore
<u>the answer Part c) is</u>
the measure of angle y is 
Let x be the number of red balloons and y the number of yellow balloons used, then
x + y ≥ 40
y ≥ 25
Answer:
10 m
Step-by-step explanation:
If the area of a square is 50 m2, then the length of each side will be
m, to get the diagonal length, after dividing the square by joining the points of the diagonal with a line, it forms two right angles with length
m each.
the diagonal length represent the hypotenuse side of each of the right angle, knowing the pythagoras theorem:
, so we have:


diagonal = 10 m
21 is the least common denominator of 7 and 3