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3 years ago

If m∠ABC=7x-2 and ∠CDE=5x+16 are congruent, find m∠ABC?

Mathematics

2 answers:

aliina [53]3 years ago

6 0

Answer: m∠ABC = 61°

Step-by-step explanation: Since angles are congruent, make the equation

7x-2 = 5x + 16

7x-5x = 16 +2

2x = 19

x = 9

Substitute 9 for x

7(9) -2 = m∠ABC . and 5(9) + 16 = m∠CDE

63-2 = 61° = m∠ABC 45 + 16 = 61 True!

max2010maxim [7]3 years ago

3 0

Answer:

idk im dumb i just need points

Step-by-step explanation:

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Read 2 more answers

The population of two different villages is modeled by the equations shown

vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

$y=x^2-30x+540$

$y=20x+15$

The population of both villages are same after x years after 1980 if

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$x^2-15x-35x+525=0$

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$x=15,35$

It means, after 15 or 35 years, the population will same.

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For x=35, years is $1980+35=2015$ and population is

$y=20(35)+15=715$ .

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

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