3 years ago

What is the solution to 5a-15+9a=3a+29

Mathematics

2 answers:

Rudik [331]3 years ago

5 0

The answer is A equals 4

scZoUnD [109]3 years ago

3 0

5a - 15 + 9a = 3a + 29

5a + 9a - 3a = 29 + 15

14a - 3a = 44

11a = 44

a = $\frac{44}{11}$

a = 4

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Lines DE and AB intersect at point C. What is the value of x? 12 25 38 52

aniked [119]

Answer:

(B)25

Step-by-step explanation:

From the given diagram:

$\angle ACE$ and \angle ECB$ are on a straight line, and we know by the Linear Postulate that the sum of angles on a straight line is 180 degrees.

Therefore:

$\angle ACE$ + \angle ECB=180^\circ$ (Linear Postulate)\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\$Collect like terms\\2x+5x+2+3=180\\7x+5=180\\$Subtract 5 from both sides\\7x+5-5=180-5\\7x=175\\$Divide both sides by 7\\7x\div 7=175\div 7\\x=25^\circ$