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aivan3 [116]
4 years ago
7

50 points..what is angle hlk? need help.

Mathematics
1 answer:
Romashka [77]4 years ago
6 0

Note the two triangles HLK and HFG.


Because triangles have 180 degrees, we can deduce that angle LHK is 75 degrees.


So the corner of H has an angle of 75 degrees for both triangles, HLK and HFG.

We also see that HF is double that of HL and HG is double that of HK.


That means we have two sides that are proportional to each other and their included angle is congruent. Thus, by the SAS similarity theorem, triangles HLK and HFG are similar.


If they are similar, then angle HLK is congruent to angle HFG.


Since angle HFG is 80 degrees, that makes angle HLK 80 degrees as well.

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Airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. What are t
kherson [118]

In this situation, the cases are the bags or each piece of baggage.

<h3>What is a case?</h3>

In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.

<h3>What is the case in this situation?</h3>

Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.

Note: This question is incomplete; here are the missing options:

A. Number of bags weighing more than 75 pounds.

B. Average weight of the bags.

C. Each piece of baggage.

D. The airport administrators.

Learn more about statistics in brainly.com/question/8058700

#SPJ1

4 0
2 years ago
How do you solve 5x-10y=7<br> X-2y=3
swat32
(X-2y)5=(3)5. 5x-10y=7 we - So 5x-10y-5x- 10y=-8
-20y=-8. y=8 over 20
8 0
4 years ago
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
ed spent 8.5% of his savings on lunch,which cost 5.25$. how much did he have in savings before lunch​
kvv77 [185]
Just compare fractions.

$5.25/x = 8.5/100

Then multiple both sides by 100 and both sides by x;

525 = 8.5x

Divide both sides by 8.5

x ≈ $61.77
8 0
3 years ago
Which two ratios show a proportional relationship?
olga2289 [7]
The answer is B ahaha
5 0
4 years ago
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