Answer:
1: true
2: false
Step-by-step explanation:
1: congruent = equal while supplementary = 180-degrees
2: congruent angles= vertical angles, corresponding angles, alternate interior angles, & alternate exterior angles
Answer:
16 ribbons
Step-by-step explanation:
Given the length of the chain as 10 and there is a ribbon tied to it every , we can take the total length of the chain and divide by the measure of :
When dividing with fractions, we use the rule of 'keep/change/flip' to keep the first fractions, change the operation to multiplication and flip the second fraction.
In order to find a fraction, We know that a percentage is out of a 100. This means we can now place our fraction as:
38/100
In order to find the actual fraction, we will want to simplify. Lets find our least common factor and work down from there. Since we know that 2 can go into both of them, lets reduce by 2.
This means our fraction will now look like:
19/50
Since 19 is a prime number and cannot be divided by anything but 1 and itself, we know that this is our simplified form.
This means:
19/50 is the fraction equivalent to 38%.
Answer:
see explanation
Step-by-step explanation:
Given
2x² + 7x = 15 ( subtract 15 from both sides )
2x² + 7x - 15 = 0 ← in standard form
To factorise the left side
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 15 = - 30 and sum = + 7
The factors are + 10 and - 3
Use these factors to split the x- term
2x² + 10x - 3x - 15 ( factor the first/second and third/fourth terms )
2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term
(x + 5)(2x - 3) ← in factored form