<h3>Answer: angle T = 70</h3>
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Work Shown:
Quadrilateral RSTU is a kite. In geometry, any kite has two pairs of adjacent congruent sides. In this case, RU = RS is one pair of adjacent congruent sides (single tickmarks), while TU = TS is the other pair of adjacent congruent sides (double tickmarks).
Draw diagonal line segment TR. This forms triangles TUR and TSR.
Through the SSS (side side side) congruence theorem, we can prove that the two triangles TUR and TSR are congruent.
Then by CPCTC (corresponding parts of congruent triangles are congruent), we can say,
angle U = angle S = 90
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Re-focus back on quadrilateral RSTU (ignore or erase line segment TR). The four angles of any quadrilateral will always add to 360 degrees. Let x be the measure of angle T.
(angleU)+(angleR)+(angleS)+(angleT) = 360
90+110+90+x = 360
290+x = 360
290+x-290 = 360-290 ... subtract 290 from both sides
x = 70
<h3>angle T = 70</h3>
Answer:
A=174
Step-by-step explanation:
Step 1: Separate the figure into two separate shapes, a triangle and a square
Step 2: Find the dimensions of the triangle and square.
Square - l=12 w=12
Triangle - h=5, b=12. (The height was found by subtracting the length of the square (12) from the total length (17).
Step 3: Solve by using formulas
A=(5)(12)/2=30
A=12*12=144
Step 4: Add the parts together
144+30=174
A=174
Y^9-y^3 can also be written as y^9-y^3=x
so it is also equivalent to x+y^3=y^9
and x-y^9=-y^3
