Answer:
it's option A .............
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse
x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x
x^2+36=100 Square each individual term
x^2+=100+36 Subtract 36 from both sides
x^2=64 Combine like terms
sqrt(2)=sqrt(64) Take the square root of both sides
x = 8 Simplify the square root
So our answer is x = 8
The ladder touches the 8 feet mark on the wall.
Step-by-step explanation:
this is not an isoceles triangle.
anyway, we need to remember 2 things :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.
so, the internal angle Q is then
180 = 50 + 55 + Q
Q = 180 - 50 - 55 = 180 - 105 = 75°
the exterior angle x at Q is then
180 = Q + x = 75 + x
x = 180 - 75 = 105°
1500 members have a contributor membership.
64.8% of the noncontributory memberships are individual memberships.
<u>Step-by-step explanation:</u>
There are 20,000 members of a zoo.
⇒ Total members = 20,000
From the graph shown,
7.5% of the members have a contributor membership.
<u>To find the number of members who have contributor membership :</u>
⇒ 7.5% of 20,000
⇒ (7.5/100) × 20,000
⇒ 7.5 × 200
⇒ 1500 members.
Therefore, 1500 members have a contributor membership.
<u>To find the percentage of the noncontributory memberships are individual memberships :</u>
The percentage of noncontributory memberships = 100% - 7.5% ⇒ 92.5%
The percentage of individual memberships = 60%
∴ What percentage of the noncontributory memberships are individual memberships ⇒ (60 / 92.5) × 100 = 64.8%
