Answer:
105cm
Step-by-step explanation:
Call the rat's height r, the cat's height c and the table height t.
The left part says that
(t + c) - (0 + r) = 120 = t + c - r
c - r = 120 - t
Right part says that (t + r) - (0 + c) = 90 = t + r - c
c - r = t - 90
120 - t = t - 90
2t = 210
t = 105
This Must Only Have One Solution, Because The Right Side Of The Equation Is Just Plainly Ten. Lets Solve This:
5x + 3x - 4 = 10
Add Four To Both Sides To Begin Simplifying.
5x + 3x = 14
Now, Combine Like Terms.
8x = 14
Divide:
8x/8 = 1X = X
14/8
X = 14/8
14/8 = 1.75
X = 1.75
Check:
(5 * 1.75) + (3*1.75) - 4 = 10
8.75 + 5.25 - 4 = 10
14 - 4 = 10
10 = 10.
This Is True, So X Does Equal 1.75
Answer:
The measure of angle F is m∠F=130°
Step-by-step explanation:
step 1
Find the measure of angle E
we know that
An isosceles triangle has two equal sides and two equal interior angles
In this problem
DF=EF ----> given problem
so
Triangle DEF is an isosceles triangle
m∠D=m∠E
we have
m∠D=25°
substitute
m∠E=25°
step 2
Find the measure of angle F
we know that
The sum of the measures of the interior angles in a triangle must be equal to 180 degrees
so
m∠D+m∠E+m∠F=180°
substitute the values
25°+25°+m∠F=180°
50°+m∠F=180°
m∠F=180°-50°
m∠F=130°
Answer: The functions values are greater than 0 over the interval.
Step-by-step explanation:
To tell if a function is positive over a given interval, see if it's below the x-axis or if it's under (since the x-axis represents 0).
- If it's below, it's less than zero.
- If it is above, it's greater than zero.
If the interval is above the x-axis, it's positive (greater), and if it's below, it's negative (less).
its A.
Step-by-step explanation:
its B
