Help me with this pls

Mathematics

1 answer:

melomori [17]3 years ago

5 0

A and E, they are basically at the same point around

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This is geometry please help

EastWind [94]

Answer:

x = 31°

Step-by-step explanation:

$\triangle ABC \cong \triangle DCE... (given) \\\\\therefore m\angle B = m\angle E..(cact)\\\\\because m\angle B = 61\degree \\\\\therefore m\angle E = 61\degree \\\\In \: \triangle DCE\\\\m\angle D+ m\angle C + m\angle E = 180\degree \\(by \: interior \: angle \: sum \: property \: of \: a triangle) \\\\2x\degree + 57\degree + 61\degree= 180\degree \\\\2x\degree + 118\degree = 180\degree \\\\2x\degree = 180\degree - 118\degree \\\\2x\degree = 62\degree \\\\x = \frac{62\degree}{2} \\\\x = 31\degree$

3 0

3 years ago

Write the prime factorization for 65,169

posledela

Let's try to find some primes that divide this number.

The number is not divisible by 2, because it is odd.

The number is divisible by 3 though, because the sum of its digits is:

$6+5+1+6+9=27=3\cdot 9$

So, we can divide the number by 3 and keep going with the factorization:

$65169\div 3 = 21723$

This number is again divisible by 3, because

$2+1+7+2+3 = 15 = 3\cdot 5$

We have

$21723\div 3 = 7241$

This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have

$7241\div 13 = 557$