Answer:
x = 10
m<A = 132 degrees
m<B = 48 degrees
Step-by-step explanation:
Supplementary = angles that make up 180 degrees
We know <A and <B are supplemntary, so 2x+28+6x+72 = 180.
8x + 100 = 180
8x = 80
x = 10
I input 10 into the equations to solve for the measures of the angles
Answer:
a3 + b3 = a3 + b3
Step-by-step explanation:
I'm not sure what you are asking for but this equation is true if that's the problem.
Multiply all the variables and then combine like terms.
On the left side we end out as a3 + b3 which is equal to the right side. Hope this helps!
Answer:
7
Step-by-step explanation:
1) Simplify 5 - 4 to 1.
2² + 1 × 3
2) Simplify 2² to 4.
4 + 1 × 3
3) Simplify 1 × 3 to 3.
4 + 3
4) Simplify.
<h2><u><em>7</em></u></h2>
Answer:
The Proof for question no 20 and 21 are below.
Step-by-step explanation:
20.
Given:
∠PTR≅∠RSP
PT ≅ RS
To Prove:
ΔPQT ≅ ΔRQS
Proof:
In ΔPQT and ΔRQS
Statements Reasons
1. ∠PTR ≅ ∠RSP 1 .Given
2. ∠PQT ≅ ∠ROS 2. Vertical Opposite Angle Theorem.
3. PT ≅ RS 3. Given
4. ΔPQT ≅ ΔRQS 4. By A-A-S Congruence Postulate ....Proved
21.
Given:
PO ≅ SO
O is the Mid Point of NT
To Prove:
∠N ≅ ∠T
Proof:
In ΔPON and ΔSOT
Statements Reasons
1. PO ≅ S O 1 .Given
2. ∠PON ≅ ∠SOT 2. Vertical Opposite Angle Theorem.
3. NO ≅ TO 3. O is the Mid Point of NT
4. ΔPON ≅ ΔSOT 4. By S-A-S Congruence Postulate
5. ∠N ≅ ∠T 5. Corresponding Parts of Congruent Triangles are Congruent .( CPCTC )...Proved
Answer: 7693cm
Step-by-step explanation:
The volume of a cone is given as:
= 1/3πr²h
where π = 3.14
radius = 3.5cm
height = 12
Volume = 1/3πr²h
= 1/3 × 3.14 × 3.5² × 12
= 153.86cm³
Therefore, the amount of water that is needed to fill 50 cups will be:
= 153.86 × 50
= 7693cm
