Answer:
24
Step-by-step explanation:
Arrange the terms in ascending order.
20, 22, 23, 24, 24, 25, 46
The median is the middle term in the arranged data set.
<em>good luck, i hope this helps :)</em>
Let the shorter leg be x.
Let the hypotenuse be y.
The the longer leg is x + 7.
The perimeter is 30.
x + x + 7 + y = 30
y = 30 - 2x - 7
y = -2x + 23
The hypotenuse is -2x + 23.
Now we use the Pythagorean theorem.
a^2 + b^2 = c^2
x^2 + (x + 7)^2 = (-2x + 23)^2
x^2 + x^2 + 14x + 49 = 4x^2 - 92x + 529
2x^2 - 106x + 480 = 0
x^2 - 53x + 240 = 0
(x - 5)(x - 48) = 0
x = 5 or x = 48
Since 48 is greater than the perimeter, we discard that solution.
x is the shorter leg.
The shorter leg measures 5 units.
A) y=237.75, z=79.25
b)x=60, z=60, y=240
c)x=36, y=108, z=216
d) x=90, y=120, z=150
e)x=120, y=200
f)x=80, y=180, z=100
Answer:
High negative
Step-by-step explanation:
The dots are close together and they are going down left to right indicating it’s negative
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- - given
- - given;
- as vertical angles.
So,
by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).
Congruent triangles have congruent corresponding parts, hence,