<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>
Hello, please consider the following.
![\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78](https://tex.z-dn.net/?f=%5Cdisplaystyle%201%2B2%2B3%2B...%2B12%3D%5Csum_%7Bk%3D1%7D%5E%7Bk%3D12%7D%20%7Bk%7D%3D%5Cdfrac%7B12%2A13%7D%7B2%7D%3D6%2A13%3D78)
For the second we will need to put on the same denominator.
![\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B4%7D%2B...%2B%5Cdfrac%7B1%7D%7B14%7D%3D%5Csum_%7Bk%3D1%7D%5E%7Bk%3D7%7D%20%7B%5Cdfrac%7B1%7D%7B2k%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7B420%2B210%2B140%2B105%2B84%2B70%2B60%7D%7B5%2A7%2A3%2A2%2A2%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%5Cdfrac%7B1089%7D%7B420%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1089%7D%7B840%7D%3D1.296429...)
Thank you.
Answer:
-infinity
Step-by-step explanation:
plug in numbers for x that is on the right side of the graph and you will see a trend that the larger x is the bigger y is(technically smaller because y would be negative due to the negative sign outside the square root) as x approaches inifity y approaches negative infinity.
Answer:
3x plus 5 is definetely greater than -16 cause of the negative and 8 is bigger also then a negative
Step-by-step explanation: