Need help finding measure of angle R.
1 answer:
Answer:
B.) 113°
Step-by-step explanation:
In the isosceles trapezoid, angles T and S are congruent. Find the value of x:
Subtract 4x from both sides:
Add 38 to both sides:
Divide both sides by 3:
x is equal to 15. Now substitute the value of x into the one of the expressions:
or
The angles T and S are 67°.
The angles of a trapezoid will always add up to a total of 360°, so add the angles T and S:
Subtract their total from 360:
The total of the angles Q and R is 226°. Since this is an isosceles trapezoid, those two angles are also congruent. Divide the value by 2:
Angle R is 113°.
Done.
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Answer:
48∛9 ft²
Step-by-step explanation:
The length (L) and width (W) are given by:
Since this is a rectangular region, the area is given by:
The answer can be further simplified by factoring as follows:
The exact area is its simplest form is 48∛9 ft²
The answer is the second one
If you want a fast explanation
You have to remember that the minus sign indicates which direction the hyperbole will follow, if the minus is on x, that indicates the hyperbole will be vertical, and if the minus is in y, then it'll be horizontal
If you check the vertices points those indicates the length of 2a thus thatll be 6
To get the center just use middle point equation and you'll get (1,3)
Just to know, a indicates the distance from the center to the vertices, b indicates how wide the hyperbole box is, and c indicates the distance from center to focis
A=3
B=?
C=6
We use Pythagoras so
Thus you get
With that data now you can get the equation
You know that below (y-3)^2 there should be a^2 so that means there will be the 9
And in the (x-1)^2 there should be b^2 so that means there will be the 27
PD. The 3 besides y, and 1 besides x represent the center