Answer:
73 inches
Step-by-step explanation:
Hypotenuse² = base² + height²
Hypotenuse² = 48² + 55²
Hypotenuse² = 5329
Hypotenuse = sqrt(5329)
Hypotenuse = 73 in
Answer:
Option D 
and 
Step-by-step explanation:
step 1
<u>Find the equation of the inequality A</u>
we know that
The solution of the inequality A (dashed line) is the shaded area below the dashed line
The equation of the dashed line is 
therefore
The equation of the inequality A is
step 2
<u>Find the equation of the inequality B</u>
we know that
The solution of the inequality B (solid line) is the shaded area below the solid line
The equation of the solid line is 
therefore
The equation of the inequality B is
The system of linear inequalities is
and
Answer:
x = 44⁰
y = 46
z = 90⁰
m = 36⁰
n = 40⁰
Step-by-step explanation:
a) Opposite angles of a parallelogram are always equal, so x = 44. The 4 angles will add up to 180⁰, so when you add the two 44⁰ angles together and subtract from 180⁰, you get 92⁰. divide that by 2 and you get 46⁰, so y = 46⁰.
b) since the two sides are parallel, if the other side is perpendicular to one, causing the 90⁰ angle, it is also perpendicular to the other, so z = 90⁰.
c) Opposite angles over a common side are equal, so m = 36⁰.
d) You know the missing angle in the small on the right is 40⁰ because the three angles will add up to 180⁰ and the two known angles add to 140⁰. Then you can use the same reason above to figure that the angle next to 65⁰ is 40⁰. The hashes on the sides of the bigger triangle on the left show it is an isoceles triangle in which the two base angles are always equal, so since you know the one is 40⁰, you know that n = 40⁰ also.
Answer:
11/3 as a mixed number would be 3 2/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mean (Average):
6.42857
Median (Middle):
8
Mode (Most Common):
4,8
