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cluponka [151]
3 years ago
6

What is the measure of ∠F? What is the measure of ∠R? What is the measure of ∠C?

Mathematics
2 answers:
DanielleElmas [232]3 years ago
7 0
C= 43
I'm not sure what the measure of R is, but I think the measure of F is 55°. I'm not 100% sure, which I feel terrible about, but I am positive that C= 43
:)
aleksandr82 [10.1K]3 years ago
6 0

Answer: The measure of ∠F=55°

The measure of ∠R=36°

The measure of ∠C=43°

Step-by-step explanation:

  • <em>The angle sum property of triangle say that the sum of all the interior angles of a triangle is 180 degrees.</em>

Therefore By using angle sum property in Δ RST

∠R+∠S+∠T=180°

⇒∠R+76°+68°=180°

⇒∠R=180°-144°

⇒∠R=36°

In Δ CDE, where ∠C is a right angle.

∠C+∠D+∠E=180°

⇒∠C+90°+47°=180°

⇒∠C=180°-137°

⇒∠C=43°

In ΔDEF

∠D+∠E+∠F=180°

⇒104°+21°+∠F=180°

⇒∠F=180°-125°

⇒∠F=55°

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Read 2 more answers
An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera
atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

Cost = 51.275

Step-by-step explanation:

The given parameters can be summarized as:

\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}

Where: x = Soybeans and y = Oats.

So, the system of equations are:

70x + 21y = 168

9x +7y = 27

7x + y = 14

Cost = 21x + 7y

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

70x + 21y = 168

9x +7y = 27

7x + y = 14

From the attached graph, we have:

(x_1,y_1) = (1.636,2.545)

(x_2,y_2) = (1.775,1.575)

(x_3,y_3) = (2.023,1.256)

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

Cost = 21x + 7y

(x_1,y_1) = (1.636,2.545)

Cost = 21 * 1.636 + 7 * 2.545

Cost = 52.171

(x_2,y_2) = (1.775,1.575)

Cost = 21 * 1.775 + 7 * 1.575

Cost = 48.3

(x_3,y_3) = (2.023,1.256)

Cost = 21 * 2.023 + 7 * 1.256

Cost = 51.275

The values of x and y that gives the minimum cost is:

(x_2,y_2) = (1.775,1.575)

and the minimum cost is:

Cost = 48.3

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0
3 years ago
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