so we have a 60-30-90 triangle (top one)
so since we know 6 is x (the side on the right angle and 60 degrees)
b is 2x or 2(6) = 12
a is x√3 = 6√3
for C I need to use a 45 45 90 triangle
Since b is 12 and its x√2 to find x we should write it as
x√2 = 12
√2 √2 divide by √2
x = 12/√2 but we must rationalize the denominator
12/√2 times √2/√2 = 12√2/2 and that's c
Answer:
15
Step-by-step explanation:
If A||B then the sum of given angles must be equal to 180°
2x + 5 + 5x - 80 = 180 add like terms
7x - 75 = 180 subtract 75 from both sides
7x = 105 divide both sides by 7
x = 15
The first picture would be choice answer c because the number of x's represent how many birds wings are this size. The number on the tic mark represents the size of the wing span. So you would take the number of x's times the tic mark represented under it. There are 3 birds with 3 1/8 wingspan so it wold be 3 1/8 *3. Hoped this helps for the first one!
Answer:
If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.
If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.
Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.
Answer:
−7b−9k+6
Step-by-step explanation:
−4b+(−3b)=−7b
+(−9k)=−9k
12−6=6
