Answer:
Step-by-step explanation:
we are given the angles of XYR = 40, ZXY = 130, and SRY = 40 degrees.
angle ZXY is half of angle ZAY, so angle ZXY is 65 degrees.
imagine a line XA (not on the diagram). then ZXA is 32.5 degrees since it is half of YXZ. Angle XZA and ZXA are equal, so XZA is 32.5 degrees. RZA = XZA + RZX = 32.5 + 40 degrees (assuming the upper left stated degree belongs to angle XZA), or simply RZA is 72.5 degrees.
since ZRA = RZA, then ZRA is 72.5 degrees. since angle ZRS = SRY + ZRA, finally ZRA = 40 + 72.5 degrees or simply, ZRS = 112.5 degrees. which visually is blantantly wrong as it appears to be less than 90 degrees.
Sally ⇒
4 hours = 1 room
1 hour = 1/4 of the room
Steve ⇒
9 hours = 1 room
1 hour = 1/9 of the room
Sally + Steve ⇒
1 hour = 1/4 + 1/9 = 9/36 + 4/36 = 13/36
Number of hours needed ⇒
1 ÷ 13/36 = 1 x 36/13 = 36/13 = 2 10/13 hours
Answer: They need 2 10/13 hours.
I think it’s 1/2
I hope this can help you
For the given figure, x = 34.640 units.
Step-by-step explanation:
Step 1:
The formulae needed to solve this question are:
The triangle containing x can be split into two right-angled triangles.
So the hypotenuse of the triangle containing the length x and the already given right angle triangle's hypotenuse is the same length.
Step 2:
First, we calculate the hypotenuse of the given triangle.
The angle of the triangle is 45°, the adjacent side's length = 10√3 units. Assume the hypotenuse's length to be a units.
units.
Step 3:
For the split triangle, we have the angle as 45°, the opposite side measuring units (only half of x is in each triangle) and the hypotenuse measuring 24.498 units.
So x measures 34.640 units.