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irinina [24]
2 years ago
11

Given mſn, find the value of x. (6x-7)º m (4x-10°

Mathematics
1 answer:
Pavel [41]2 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

These angles are actually equal to each other

This is because when two lines intersect, the two opposite angles are the same.

Since they are the same, you can set them equal to each other

Like so:

6x - 7 = 4x - 1

Then solve:

6x - 7 = 4x - 1

6x = 4x +6

2x = 6

x = 3

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One member of a gardening club can plant flowers in 12 hours. With two members of the club working together the job can be done
mariarad [96]

Answer:

24 hours

Step-by-step explanation:

One member of the gardening club can alone plant flowers in 12 hours.

So in 1 hour he can plant 1/12 of the flowers.

Let the time required by the second member of the club to plant flowers alone be x hours.

Then in 1 hour he can plant 1/x of the flowers.

Now when the two members work together,each hour they can plant:

\[\frac{1}{12}+\frac{1}{x}\] of the flowers.

But they can together complete the job in 8 hours. So in one hour they plant 1/8 of the flowers.

=> \[\frac{1}{12}+\frac{1}{x}=\frac{1}{8}\]

=> \[\frac{1}{x}=\frac{1}{24}\]


=> x=24

So the second member can plant the flowers alone in 24 hours

4 0
3 years ago
Write the ratio 48:30:42 in its simplest form​
Zielflug [23.3K]
Answer- 8:5:7

Explanation:
Find the greatest common factor for all of them. Which is 6.
Then you just divide each number by 6
48/6= 8
30/6= 5
42/6= 7
Making it 8:5:7
7 0
2 years ago
Ms. Hagan invested twice as much money in an account that pays 7% interest as she did in an account that pays 6% in interest. He
Karo-lina-s [1.5K]

Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1)  = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = 0.06P+0.14P=1000

\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

7 0
3 years ago
I need help please only help if you know the answer
vlada-n [284]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
Simplify:<br><br><br> 2+5(x+3)- (2x-7)(x+2)<br><br> PLEASE SHOW WORK!!!
svetoff [14.1K]

Answer:

2+5(x+3)- (2x-7)(x+2)

7(x+3)- (3x+4x-7x-14)

(7x+21)-(7x-7x-14)

(7x+21)-(14)

7x+21-14

=7x+7

<h2><em>Please mark as brainliest answer!!!!</em></h2>

<em></em>

4 0
3 years ago
Read 2 more answers
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