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3 years ago

Congruent angle pairs : Find value of x

Mathematics

1 answer:

Alexandra [31]3 years ago

6 0

Answer:

(Opt.B) 18

Step-by-step explanation:

4x = 2y - x (vertically opposite angles are equal)

4x + x = 2y

5x = 2y ----- (1)

4x + 2y + x = 180 (Linear pair angles)

5x + 2y = 180

From (1) we can understand that, the value of 5x and 2y is the same. So,

5x + 5x = 180

10x = 180

x = 180/10

x = 18

Just completing,

Putting the value of x in (1)

5*18 = 2y

90 = 2y

90/2 = y

45 = y

Hope you understand

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Marking as brainliest!!!!

7nadin3 [17]

Answer:

The answer to your question is: Letter A

Step-by-step explanation:

Data

M (-6, 7)

E (4, 11)

r = 1 / 3

Formula

$x = \frac{x1 + rx2}{1 + r}$

$y = \frac{y1 + ry2}{1 + r}$

x = $\frac{-6 + (1/3)(11)}{(4/3)} = \frac{-6 + (4/3)}{(4/3)} = \frac{-18 + 4}{4} = \frac{-14}{4} = \frac{-7}{2}$

y = $\frac{7 + (1/3)(11)}{4/3} = \frac{7 + (11/3)}{(4/3)} = \frac{21+ 11}{4} = \frac{32}{4} = 8$

5 0

2 years ago

Solving the equation and something to do with log

Anastaziya [24]

Answer:

m= 1/2.

Step-by-step explanation:

To solve this, we must make the bases equivalent. We can do this by finding the common base which is 5.

We know that 125= 5³ and 25=5², which will help us in this equation. We can rewrite the equation substituting this for the original numbers:

$5^{3(2m)} = 5^{2(m+1)}$ Distribute the exponents to get:

$5^{6m} = 5^{2m+2}$

Now, we can simply ignore the '5' and solve for 'm':

6m= 2m+2

4m= 2

m= 1/2.

3 0

2 years ago

If we have 2 bags containing marbles. bag a has 7 green and 6 black marbles. bag b has 8 yellow and 4 red marbles. if we pick ra

Elena L [17]

A. (7/13)·(1/3)=7/39. P=7/39
B. (6/13)·(2/3)=12/39. P=12/39
C. (7/13)·(2/3)=14/39. P=14/39
D. (6/13)·(1/3)=6/39. P=6/39

All the numbers from Bag B were written as thirds cause their probabilities could be simplified to make multiplying easier

8 0

2 years ago

Amber is on a family cell phone plan with 2 other family members. The family gets 720 shared cell phone minutes a month, each fa

chubhunter [2.5K]

Amber plus 2 family members = 3 total people on the plan.

They share the minutes equally so divide the minutes by 3 to find how many she can use:

720 / 3 = 240 minutes per month.

Now divide the monthly minutes by 30 days:

240 / 30 = 8 minutes per day.

6 0

2 years ago

Please help me!!!!!!!!!

Vlad1618 [11]

Answer:g=7

Step-by-step explanation:

6 0

3 years ago

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