∠LQK+∠GQL=90º
Therefore:
(4n-15)+(3n)=90
7n=90+15
7n=105
n=105/7
n=15
∠LQK=4n-15=4(15)-15=60-15=45
Answer: ∠LQK=45º
Well the y-intercept is where a line crosses the y-axis
y=-4x-6
think of it as y=mx+b
m is always going to be your slope
b is always going to be your y-intercept
y-intercept of y=-4x-6
is -6
Answer: 32/24
Step-by-step explanation:
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip?
32 is the total amount of people on the field trip, 24 students
32/24 would be the correct ratio.
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First we need to calculate the selling price after 50% increase
selling price = original cost + increase
selling price = 100% original cost + 50% original cost
selling price = 150% original cost
selling price = 1.5 × original cost
selling price = 1.5 × 30
selling price = 45
The selling price after getting a markup is $45
Second, we need to calculate the sale price after markdown 50%
Right now, we use $45 as the original price not $30 to count the sale price
sale price = original price - markdown
sale price = 45 - 50% × 45
sale price = 45 - 0.5 × 45
sale price = 45 - 22.5
sale price = 22.5
The sale price is not $30
Answer:
I think that A, B, and C are correct.
Step-by-step explanation:
1. Since measures 2 and 3 are a linear pair, they equal 180 degrees. A is correct.
2. Since measures 3 and 4 are also a linear pair, they too equal 180 degrees. B is correct.
3. Measures 2 and 3 are already established to be 180 degrees (check answer 1) , and measures 3 and 4 are also 180 degrees (check answer 2). Since they are both 180 degrees, they are congruent (equal), so C is correct.
D is NOT correct. Measures 1 and 3 are equal because they are vertical angles. We also know that they are acute angles (less than 90) so adding them together will equal less than 180 degrees.
Measures 2 and 4 are equal because they are vertical angles, and they are obtuse (more than 90 degrees). Adding them together will equal more than 180 degrees.
Logic tells us that something less than 180 CANNOT be equal to something more than 180. This proves that 2 and 4 and 1 and 3 are not congruent.
D is WRONG
