3. ∠1+∠2=180° and ∠2+∠3=180°
4. they are supplementary
5. ∠1+∠2=180°=∠2+∠3
6. ∠1+∠2=180°=∠2+∠3
∠2 are same in both side so ∠1=180°-∠2 =∠3=180°-∠2
7.
Answer:
-3/2,collinear.
Step-by-step explanation:
slope of PQ=(0-3)/(2-0)=-3/2
eq. of line PQ is
y-3=-3/2(x-0)
y-3=-3/2 x
or2y-6=-3x
or 3x+2y=6
if R(4,-3) lies on it,then
3(4)+2(-3)=6
12-6=6
or 6=6
which is true.
Hence points P,Q,R are collinear.
and line has aslope=-3/2
Condense the logarithm on the right side:
So,
and 
, which makes (4) the correct choice.
The statement that correctly describes the product, 5.15 x 6√7, which is 81.7537155..., is <u>A. </u><u>irrational</u>.
<h3>What is an irrational product?</h3>
An irrational number is one that can be written as a decimal, but not as a fraction.
An irrational number has endless non-repeating digits to the right of the decimal point.
The rules for determining if a product is rational or irrational are as follows:
- The product of two rational numbers is rational.
- The product of a rational number and an irrational number is irrational.
- The product of two irrational numbers is irrational.
<h3>Data and Calculations:</h3>
5.15 x 6√7
= 5.15 x 6 x 2.64575...
= 81.7537155...
Thus, the product of 5.15 x 6√7 is irrational because √7 is irrational.
Learn more about rational and irrational numbers at brainly.com/question/20400557
#SPJ1
<h3>Complete Question with Answer Options:</h3>
Which of the following correctly describes the product below?
5.15 x 6√7
A. irrational
B. neither rational nor irrational
C. a combination of both rational and irrational
D. rational
The answer is 192
1x64=64
2x64=128
3x64=192
