Factors of 26: <u>1</u>, <u>2,</u> 13, 26 (1 × 26, 2 × 13)
Factors of 42: <u>1</u>, <u>2</u>, 3, 6, 7, 14, 21, 42 (1 × 42, 2 × 21, 3 × 14, 6 × 7)
The greatest common factor they have is 2
Multiply the one by the 2 and the three by the 2. Put the decimal back in and add the negative sign
<u>The sum</u> of <u>the measures</u> of all <u>interior angles</u> in a <u>quadrilateral</u> is always equal to 360°.
If m∠R = (2x)°, m∠S = (3x – 35)° and m∠T = (x + 35)°, then the measure of the angle U is
m∠U=360°-(2x)°-(3x-35)°-(x+35)°=360°-(2x)°-(3x)°+35°-x°-35°=360°-(6x)°.
If quadrilateral RSTU is parallelogram, then
- m∠R=m∠T;
- m∠S=m∠U;
- m∠R+m∠S=m∠S+m∠T=180°.
Check this conditions: 2x=x+35 ⇒ x=35°.
If x=35°, then
- m∠R=(2·35)°=70°;
- m∠S=(3·35-35)°=70°;
- m∠T=(35+35)°=70°;
- m∠U=360°-(6·35)°=150°.
You get quadrilateral RSTU that cannot be parallelogram, because 70°+70°≠180°.
Answer: strictly correct choice is D (also choice C is correct)
Answer:
Step-by-step explanation:
Given
Required
x for 
the function is 
To do this, we set the numerator root 
So, we have:
Divide by 6
Solve for x
Also, we set the denominator greater than 0:
Divide by 3
Take square roots
So, we have:
and
Combine both to give:
Answer:
Step-by-step explanation:
d = 20
r = 0.5d
r = 10cm
A = πr^2 = 100π cm^2
