Answer:
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Answer:
The answer is approximately 24.041 inches (round to the nearest tenth, hundredth, or thousandth if it is indicated in the instructions.)
Step-by-step explanation:
First, I figured out what the square root of 289 is. The square root of 289 is 17.
Given that this is a square we are dealing with, we can assume that all sides are equal.
So, when you draw a diagonal down the square, it becomes two triangles, one of which we can use the Pythagorean theorem for.
a^2 + b^2 = c^2. Thus, 17^2 + 17^2 = 578. The square root of 578 unfortunately does not come out evenly, so we are left with approximately 24.041 inches.
I hope this helps!
Answer:
The second one
Step-by-step explanation:
Y=11/4x+3/2
Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.