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4 years ago

If m<DBC=(12x-3)°, m<DBE=(5x+12)°, and m<EBC=(3x+13)°, find m<EBC.

Mathematics

1 answer:

kicyunya [14]4 years ago

8 0

Answer:

m∠EBC=34°

Step-by-step explanation:

we know that

m∠DBC=m∠DBE+m∠EBC

see the attached figure to better understand the problem

substitute the given values in the formula and solve for x

$(12x-3)\°=(5x+12)\°+(3x+13)\°\\12x-3=8x+25\\12x-8x=25+3\\4x=28\\x=7$

Find the measure of angle EBC

m∠EBC=(3x+13)°

substitute the value of x

m∠EBC=(3(7)+13)°

m∠EBC=(21+13)°

m∠EBC=34°

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There is an unknown number •it is a four digit number •the tens are double the ones •the thousands are double the tens •the sum

oksano4ka [1.4K]

Answer:

8542

Statement

1.It is a four digit number

2.The tens are double the ones

3.The thousands are double the tens

4.The sum of the digits is nineteen

Step-by-step explanation:

It is a four digit number

lets take 4 digit number-ABCD

The tens are double the ones

$C=2D$ -----------------------------1

The thousands are double the tens

$A=2C$ -------------------------------2

According to equation 1 and 2

$A=4D$

If we take

$D=1,2$

Possible number

$4B21$ OR $8B42$

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I use hit and trial method

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$8B42$ - If, i try to find value of B

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3 years ago