this is an isosceles triangle... meaning that the two base angles will be equal.
180 - 38 = 142
142 / 2 = 71
x = 71
LCM=product of highest occurring primes in the numbers prime factorization.
GCF=product of shared primes in the numbers prime factorization.
16=2*2*2*2
Since the GCF is 8 N and 16 share only 2*2*2
Since the LCM is 48 and 16 has 2*2*2*2 the other number has a factor of 3
So the other number is 2*2*2*3=24
N=24
Answer:
Step-by-step explanation:
30. Given: rectangles QRST and RKST
Prove: ΔQSK is isosceles
An isosceles triangle is a triangle which has two sides and two angles to be equal.
Thus,
From rectangle QRST, the diagonals of rectangles are similar.
i.e RT ≅ QS (diagonal property)
Also, RT ≅ SK (opposite sides of rectangle RKST)
Thus,
RT ≅ QS ≅ SK
Therefore,
ΔQSK is an isosceles triangle.
31. Given: Rectangles QRST, RKST and JQST
Prove: JT ≅ KS
From rectangle QRST, the diagonals of rectangles are similar.
i.e RT ≅ QS (diagonal property)
But,
JT // QS and RT // KS
Thus,
JT ≅ QS (opposite sides of rectangle JQST)
also,
RT ≅ KS (opposite sides of rectangle RKST)
So that,
JT ≅ QS ≅ RT ≅ KS
Therefore,
JT ≅ KS
Answer:
Step-by-step explanation:
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<span>The set up is normally
t/A + t/B = 1 (as in 1 job)
</span><span>Here you are given t, the time worked together, and A, Alex's alone time...now we need to find B, Millie's alone time...so
4/6 + 4/B = 1
B turns out to be 12...which means
Alex did 2/3 the job and Millie did 1/3</span>
