In a parallelogram opposite angles are equivalent so B=D and A=C.
If B=D, 3n + 20 = 6n - 25; add 25 to both sides
3n + 45 = 6n; subtract 3n from both sides
45 = 3n; divide both sides by 3
15 = n; substitute 15 for n to find the value of angle B;
3(15) + 20 = B
45 + 20 = B
65° = B
Angles C and B are supplementary, which means that when added they equal 180°
so 180 = 65 + C
115 = C
Your answer is choice B
Answer:
23
Step-by-step explanation:
Answer:
The value of x is 6
Step-by-step explanation:
The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side
∵ The perimeter of an equilateral triangle is 63 inches
∴ P = 63 inches
→ By using the rule of the perimeter above
∵ P = 3 × S
→ Equate the right sides of P
∴ 3 × S = 63
→ Divide both sides by 3
∴ S = 21 inches
∴ The length of each side is 21 inches
∵ The length of each side is (4x - 3)
→ Equate (4x - 3) by the length of each side
∴ 4x - 3 = 21
→ Add 3 to both sides
∵ 4x - 3 + 3 = 21 + 3
∴ 4x = 24
→ Divide both sides by 4 to find x
∴ x = 6
∴ The value of x is 6
Answer:
Step-by-step explanation:
cos R = adj/hyp
R = cos⁻¹(9/10) = 25.8419327... ≈ 25.8°
Hello there!
"Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer"
To make this easier, we will make it so that both fractions in each pair has like bases.
To make 3/5 and 1/2 have a like base, we must make the denominators 10. To do this, we will do the following:
(3*2)/(5*2) = 6/10
(1*5)/(2*5) = 5/10
Now we can easily compare and not worry about the denominator
So, let's just look at the numerators.
Which is greater, 5 or 6? We know 6 is greater, so:
6/10 > 5/10
That means:
3/5 > 1/2
Now, we must do the same for 2/6 and 1/2
We will make them both 6. So, we can leave 2/6 alone
2/6
(1*3)/(2*3) = 3/6
Now we have 2/6 and 3/6
Which is greater, 3 or 2. The answer to that is 2. So:
3/6 > 2/6
This means that 1/2 > 2/6
Our answers are:
1. 3/6 > 2/6
2. 1/2 > 2/6
I hope I was able to help you!
~ Fire
