2 years ago

Find the value of x in the diagram

Mathematics

1 answer:

Dafna11 [192]2 years ago

4 0

Answer:

x = 135

Step-by-step explanation:

All the angles of a pentagon added up make 540 degrees.

540 - 60 = 480

480 - 150 = 330

330 - 120 = 210

210 - 75 = 135

x = 135

You might be interested in

P+3/m=-1 solve for p

e-lub [12.9K]

Look in the file below

8 0

3 years ago

Mr. Wonderful ran one lap around the park. He made 10 turns to the left and no turns to the right. What was the average number o

anygoal [31]

Answer:

Step-by-step explanation:

360/10=36

7 0

3 years ago

Read 2 more answers

Can someone help my cousin? hes in 5th grade and im not sure if im right with this question. :)

agasfer [191]

Answer: 2.25 = 18.90

Step-by-step explanation: Hope This Helps

7 0

3 years ago

Answer, please. Look at the diagram below. Given ∠1 = 39°, find the measures of the angle 2

RoseWind [281]

Step-by-step explanation:

angle 2 = 180-39= 141°

angle 2 = 141°

8 0

3 years ago

Can somebody prove this mathmatical induction?

Flauer [41]

Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

$\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2$

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

3 step:

Check for n=k+1 whether the statement

$\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)$

is true.

Start with the left side:

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)$

According to the 2nd step,

$\sum \limits_{j=1}^k2^j=2(2^k-1)$

Substitute it into the $\ast$

$\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)$

So, you have proved the initial statement

4 0

3 years ago