Answer:
The situation best for the equation 3x=288 Is by dividing both sides by the coefficient of x to single out the variable
Step-by-step explanation:
=> 3x/3=288/3
=> x = 96
10%
= 10/100
= 1/10
10% in its simplest form is 1/10~
Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
Answer:
-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%
Step-by-step explanation:
% 4.6%
Let's do the process of elimination to find our answers
% this would be in between because - 62.5% would be after -75%
% this fraction equals to a positive percentage which would be after 4 so not this one
% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one
% we already have the percentage so not this one
33% this number would come after 4.6% so not this one
-9.2% this would be between them because its -9 and it will be after -75% and -62.5%
<h3>
First Method:</h3>
<u>Using cosine rule</u>:
<h3>
Second Method:</h3>
<u>First find XY using sine rule</u>:
Then use Pythagoras Theorem:
⇒ XY² + YZ² = XZ²
⇒ (6)² + YZ² = 12²
⇒ YZ² = 144 - 36
⇒ YZ = √108
⇒ YZ = 6√3
⇒ YZ = 10.4
