Answer:
x=20
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse.
The legs are x and 15 and the hypotenuse is 25
x^2 + 15^2 = 25^2
x^2 +225 = 625
Subtract 225 from each side
x^2 +225-225 = 625-225
x^2 = 400
Take the square root of each side
sqrt(x^2) = sqrt(400)
x = 20
Answer:
m∠BCD = 140°
Step-by-step explanation:
ABCD is cyclic quadrilateral. A property of cyclic quadrilateral states that the opposite angles of it sum up to 180°. Here:
m∠A + m∠C =180° and m∠B + m∠D = 180°
So, m∠A + m∠C =180°
m∠A = 40° (given in the question)
40° + m∠C = 180°
m∠C = 180° - 40° = 140°
∴m∠C = m∠BCD = 140°
For the equation
.. x - y = 4
you can divide by 4 to put the equation into intercept form. This form shows you both interecepts at once.
.. x/4 +y/(-4) = 1
The x-intercept is (4, 0).
The y-intercept is (0, -4).
The graph is shown below.
Answer:
-20a - 65 = -104 for a = 2.7
-6x + 52 = 45 for x = 1 1/6
Step-by-step explanation:
-20a - 50 for a = 2.7
Insert 2.7 in for a.
-20(2.7) - 50 = -54 - 50 = -104
-6x + 52 for x = 1 1/6
Insert 1 1/6 for x.
-6(1 1/6) + 52 = -7 + 52 = 45
Answer:

Step-by-step explanation:

Identity used:


Now let us divide the modified expressions:
÷ 
we get:
