<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>
The answer is 9.63 x 10^12
Answer:
the answer is x=-25/56
Step-by-step explanation:
2 4/5x=-1 1/4
14/5x=-5/4
x=-25/56
Find the Greatest Common Factor (GCF)
GCF = 2xy
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)
Simplify each term in parenthesis
2xy(4x^2 - 4x - 15)
Split the second term in 4x^2 - 4x - 15 into two terms
2xy(4x^2 + 6x - 10x - 15)
Factor out common terms in the first two terms, then in the last two terms;
2xy(2x(2x + 3) -5(2x + 3))
Factor out the common term 2x + 3
<u>= 2xy(2x + 3)(2x - 5)</u>
Sin 2 x + 2 sin x = 0
2 sin x cos x + 2 sin x = 0 / : 2
sin x cos x + sin x = 0
sin x ( cos x + 1 ) = 0
sin x = 0, cos x + 1 = 0, cos x = - 1;
Answer:
x = 0, or x = π
