See the attached figure to better understand the problem
we know that
in the triangle BCD
y²+5.66²=z²-------> y²=z²-5.66²------> equation 1
in the triangle ABC
y²+5.66²=x²-------> y²=x²-5.66²------> equation 2
equals 1 and 2
z²-5.66²=x²-5.66²--------> z²=x²---------> z=x
if z=x then
angle A=45°
angle D=45°
in the triangle ABD
cos 45=z/(5.66*2)-------> z=11.32*cos 45-----> 11.32*√2/2----> 8
z=8
x=8
y²=z²-5.66²------> 8²-5.66²-----> y²=31.96------> y=5.65
the answer isthe value of x is 8the value of z is 8the value of y=5.65
The answer is 12 + 12 = 24
<h2>
Greetings!</h2>
Answer:
18.84 (or 19 to 2.s.f)
Step-by-step explanation:
The formula for the circumference of a circle is π * diameter. To find the diameter you multiply the radius by 2:
3 * 2 = 6
Then simply plug the value into the formula:
π * 6 = 6π ≈ 18.84 ≈ 19 to 2.s.f
<h2>Hope this helps!</h2>
Answer:
D is the correct answer
Step-by-step explanation:
Since 5x and 4x+1 are both equal to y, we can set them equal to each other as shown below:
5x=4x+1
x=1
Plugging x=1 into y=5x gets us y=5(1)=5
So x=1 and y=5, which is also (1,5)
Hope this helped!
Supplementary angles equal 10 degrees.
Let angle 6 = X
Angle 5 is 24 more than half of angle 6, which can be written as 1/2X +24
So now we have X + 1/2x +24 = 180
Combine the like terms ( X +1/2X = 1.5X)
1.5x + 24 = 180
Subtract 24 from each side:
1.5x = 156
Divide both sides by 1.5:
x = 156 / 1.5
X = 104
Angle 6 = 104 degrees.
Angle 5 = 180 - 104 = 76 degrees