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
1) The graph
The corresponding graph shows a growing curve, its shape is kind of the right half of a parabola that opens upward and starts at the point (0, 2500).
The vertical axis corresponds to C(j), it contains divisions of 2500 units, and are marked 2500, 5000, 7500, 10000, 12500, 15000 and 17500.
The horizontal axis corresponds to j, and the marks are 75, 150, 225, 300, 375, and 450.
2) Domain
Domain is the set of possible values for the independent variable, which is placed on the horizontal axis. This is the possible values of j.
They are all the positive numbers and zero, the the domain is:
All real numbers, j, such that j ≥ 0
3) Range
Range is the set of possible images (dependent variable); this is the possible values of C(j).
As you can see on the graph C(j) ≥ 2500
Then, the range is [2500, ∞).
Answer:
x = 7
Step-by-step explanation:
The sum of interior angles is equal to 360°
9x - 4 + 8x + 2 + 13x + 30 + 19x - 11 = 360° add like terms
49x + 17 = 360 subtract 17 from both sides
49x = 343 divide both sides by 49
x = 7
replace x with the value we found to calculate each angle.
Answer and Step-by-step explanation:
So, the format you should choose is the second one.
This is what goes in each box:
[4] (p - [6]) = [12]
The 4 is multiplying the price for 1 of the items (and it is 4 because there are 4 items), the 6 is taking away 6 dollars (because coupons take away money from amount) and 12 is the total amount of money.
Now, we solve for <u>p</u>.
Divide each side by 4.
p - 6 = 3
Now, add 6 to each side.
p = 9.
Each item cost 9 dollars.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
The sin A expressed in ratio form is 
Step-by-step explanation:
From the given right angled triangle diagram, sin A is calculated as follows;
Therefore, the sin A expressed in ratio form is
