Answer:
b. x + 1
Step-by-step explanation:
x¹⁶ − x¹⁴ = k (x¹⁵ − x¹⁴)
x¹⁴ (x² − 1) = k x¹⁴ (x − 1)
x² − 1 = k (x − 1)
(x − 1) (x + 1) = k (x − 1)
x + 1 = k
So first you need your denominators to be the same so you can multiply. They share a common denominator of 24. 2/3 equals 16/24 and 2/8 equals 9/24. So now you need to turn your fractions into mixed numbers and multiply. Which equals 2112/576. That # is way to big so then you simplify and get 11/3. so now you have 5 and 1/6 divided by 11/3. So now just flip the second fraction multiply it by its reciprocal. 31/6 X 3/11=___. So your final answer is 1 and 9/22
Hey there,
Length = 4x
Width = 3x
Perimeter = 112 inches
4x + 3x + 4x + 3x = 112 inches
14x = 112 inches
x = 112 inches / 14
= 8 inches
Length = 8 inches x 4
= 32 inches
Width = 8 inches x 3
= 24 inches
Hope this helps :))
<em>~Top♥</em>
490
Step-by-step explanation:
4333333
67
8
<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>
