Answer:
Proved
Step-by-step explanation:
Given: EC || AC, DB || AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA
Solution
See diagram attached to the solution to better understand the following workings.
Redrawing ΔMDF or rotating to be facing the same direction.
EC is parallel to AC
DB parallel to AC
Using similar triangle theorem:
If ΔMDF ∼ ΔNCA
Ratio of Corresponding sides would be equal
(adjacent of ΔMDF)/(adjacent of ΔNCA) = (Opposite of ΔMDF)/(opposite of ΔNCA) = (hypotenuse of ΔMDF)/(hypotenuse of ΔNCA)
DF/ CA = MD/NC = FM/AN
∠A = ∠F
∠M = ∠N
∠D = ∠C
Since the ratio of Corresponding sides and angle are equal, ΔMDF is similar to ΔNCA.
ΔMDF ∼ ΔNCA
Answer:
117 square yards.
Step-by-step explanation:
Given:
Length of garden = 234 yards
Breadth of garden = 1 yard
She grows roses 1/2 of her garden.
Question asked:
How many square yards are Gini's garden has roses ?
Solution:
First of all we will find area of rectangular garden.
Then, as here given half of garden, she grows roses, we will find half of the
rectangular garden.
Therefore, 117 square yards of her garden has roses.
Answer:
The fastest runner is Katie
Step-by-step explanation:
In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.
Katie
14 feet/1 second = 14 ft per second
Zach
576 feet/46 seconds = 12.52 ft per second
Tony
1 mile/533 seconds = 5280 feet/533 seconds = 9.91 ft per second
Will
827 feet/1 minute = 827 feet/60 seconds = 13.78 ft per second.
So we know that the fastest is Katie.
Answer:
23.3
Step-by-step explanation:
Use phyth. Thm.
a^2 + b^2 = c^2
A and B are the side lengths, and C is the hypotenuse. The hypotenuse is across the right angle.
Since you only have one side length and the hypotenuse this what your equation will look like:
30^2 + x^2 = 38^2
900 + x^ = 1444
544 = x^2
x = roughly 23.3
