Answer:
∡ABC=55°
Step-by-step explanation:
<u>Step 1: Identify all angles</u>
∠A=(x+45)°
∠B=(6x+5)°
∠C=(3x)°
∠ABC=(180-∠B)°=(180-(6x+5))°
<u>Step 2: Use the Triangle Angle Sum Theorem</u>
∠A+∠ABC+∠C=180°
(x+45)+(180-(6x+5))+(3x)=180
x+45+180-6x-5+3x=180
-2x+45+180-5=180
-2x+45-5=0
-2x+40=0
-2x=-40
x=20
<u>Step 3: Plug in x=20 for ∠ABC</u>
∠ABC=(180-(6x+5))°
(180-6(20)-5)°
(180-120-5)°
(60-5)°
55°
So ∡ABC=55°
The correct answer is 14/15. To answer this problem, it would help to change the mixed number into an improper fraction.
1 1/3
4/3 Multiply 3 by 1, and then add 1 and put 4 over 3.
4/3 x 7/10 Now, multiply both numbers by each other. Since we're multiplying, we don't need to find a least common denominator.
28/30 4 x 7 = 28; 3 x 10 = 30
14/15 Since 28 and 30 are divisible by 2, we need to simplify the answer.
The correct answer is 14/15.
Hope this helps!
Answer:
Polynomial expression that represents the area of blanket:
If 
: 
Step-by-step explanation:
The area of the rectangle can be calculated with the formula:
Being l the lenght of the rectangle and w the width of the rectangle.
In this case, the lenght and the width are represented with:
Substitute them into :
Then:
Use Distributive property (Remember the Product of powers property: 
):
Add like terms:
(Simplied form)
Evaluate :
