Answer: ∠B = 42° ∠A = 23° ∠F = 115°
Step-by-step explanation:
∠B≅∠C alternate interior angles 42°
∠CDF is supplementary to ∠CDE,
so m∠CDF = 23° and ∠FAB≅∠CDF so m∠FAB= 23°
<em>also ∠A ≅ CDE corresponding angles 157° ∠FAB is suplementary to ∠A </em>
<em>so 180 - 157 = 23 gives the m∠FAB</em>
The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)
180- 65 = 115 = m∠F
The best way to go about this questions is to write out a formula in which x represents the original price of the dress: x*0.90=27. To see where the 0.90 came from, if Kate's dress was 10% off, she must have paid 90% of the original price (100%-10%=90%). Then, to convert a percentage to a decimal, move the decimal point twice to the left so 90% becomes 0.90. Then, our formula essentially means that 90% of some number (x) is equal to 27. To solve for x, divide both sides of the formula by 0.90 to get x=$30 which is the final answer.
I hope this helps.
Answer:
4 by 3 matrix.
Step-by-step explanation:
In the matrix, there are 4 rows of numbers and 3 columns of numbers.
Answer:
He is 5.6 km away
Step-by-step explanation:
he starts traveling away from base and is 8.3 km away to start with
then he turns west and travels 13.9 km away
what this mean is that you have to subtract the distance he turned from the distance he started off with
ex: 13.9 - 8.3 = 5.9
to get your answer of how far away he is from the base
Answer:
264,000
Step-by-step explanation:
6,600
x 40
_______
264,000