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Gemiola [76]
4 years ago
8

∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 3 x − 21 ) ∘ ∠A=(3x−21) ∘ and m ∠ B = ( 2 x − 13 ) ∘ ∠B=(2x−13) ∘ , then find th

e value of x.
Mathematics
1 answer:
Sav [38]4 years ago
3 0

Answer:

x=8

Step-by-step explanation:

start by setting angle a equal to angle b

next add 21 to the opposite side

then subtract 2x from the opposite side

finally you're left with x=8

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PLEASE HELP MEH!!! Will give brainliest!
soldier1979 [14.2K]
Petri dish A has 1080000000000000
Petri dish B has 270000000000
Petri dish a is greater by 1.07973E15
Hope that helped :)

3 0
3 years ago
Read 2 more answers
Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )
Gemiola [76]

QUESTION 1

The given inequality is

|m|-2>0

We group like terms to get,

|m|>2


This implies that,

-m>2 or m>2.

We simplify the inequality to get,

m or m>2.

We can write this interval notation to get,

(-\infty,-2)\cup (2,+\infty).


QUESTION 2

|x-4|-3\:>\:5.

We group like terms to get,


|x-4|\:>\:5+3.


|x-4|\:>\:8

We split the absolute value sign to get,

-(x-4)\:>\:8 or x-4\:>\:8


This implies that,


x-4\: or x-4\:>\:8


x\: or x\:>\:8+4


x\: or x\:>\:12


We can write this interval notation to get,

(-\infty,-4)\cup (12,+\infty).


QUESTION 3

The given inequality is

|6+9x|\leq 24


We split the absolute value sign to obtain,

-(6+9x)\leq 24 or (6+9x)\leq 24


This simplifies to

6+9x\ge -24 and 6+9x\leq 24


9x\ge -24-6 and 9x\leq 24-6


9x\ge -30 and 9x\leq 18


x\ge -\frac{10}{3} and x\leq 2

-\frac{10}{3}\leq x\leq2

We write this in interval form  to get,

[-\frac{10}{3},2]


QUESTION 4

The given inequality is

|1-5a|>29

We split the absolute value sign to get,

-(1-5a)>29 or 1-5a>29

This simplifies to,

1-5a\: or 1-5a\:>\:29


This implies that,

-5a\: or -5a\:>\:29-1


-5a\: or -5a\:>\:28


a\:>\:6 or a\:

We write this in interval notation to get,

(-\infty,-\frac{28}{5})\cup (6,+\infty)















7 0
3 years ago
An inflatable raft that you have jumped in to escape the monsters has 4500 cubic inches of air inside it when fully inflated. It
DedPeter [7]

Answer:

2628.48 cubic inches

Step-by-step explanation:

The inflatable raft has 4500 cubic inches of air inside it when fully inflated.

The inflatable raft loses air at a rate of a decrease 6.5% each day.

Now, we have to calculate the volume of air that will be left in the raft after 8 days.

Therefore, the volume of air left in the raft after 8 days will be 4500[1-\frac{6.5}{100} ]^{8} =2628.48 cubic inches. (Answer)

8 0
3 years ago
-15-27 please answer again
Vesnalui [34]

Answer:

Its -42

Step-by-step explanation:

3 0
3 years ago
How to solve this problem
mr Goodwill [35]

10. 6.8 this is the nearest tenth

13. 3.7 this is the nearest tenth

16. 6.7 this is the nearest tenth

7 0
3 years ago
Read 2 more answers
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