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4 years ago

Please help!! dont answer if you're not going to explain! need help with my geometry!

Mathematics

1 answer:

FinnZ [79.3K]4 years ago

6 0

Step-by-step explanation:

Statement:

2-) ∠BAC = ∠EDC

<em>Reason:</em>

Angles opposite to equal sides of a triangle are equal (Alternate Interior Angles Theorem)

Statement:

3-) AC = CD

<em>Reason:</em>

CPCTC ("Corresponding Parts of Congruent Triangles are Congruent")

Statement:

4-) ∠BCA = ∠DCE

<em>Reason:</em>

Vertical Angles Theorem (states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent)

Statement:

5-) triangle ABC = triangle DEC

ASA Postulate

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)

<h2>22</h2><h3>Answer: B</h3><h3 /><h2>23</h2><h3>Answer: D</h3><h3 /><h2>24</h2><h3>Answer: A</h3><h3 /><h2>25</h2><h3>Answer: C</h3>

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A right triangle has side lengths 7, 24, and 25 as shown below.

Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0

4 years ago

The initial temperature of a cup of hot coffee is 46.8°C. After 20 minutes,the temperature of the coffee has reduced by 12.6°C.

Verdich [7]

Answer:

The current temperature = 34.2°C

Step-by-step explanation:

Initial temperature = 46.8°C

After 20 minutes temperature reduced by 12.6°C

Therefore, the current temperature is = 46.8°C - 12.6°C = 34.2°C

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3 years ago

5x=-y+6 solve for y when x =1,2,3

Assoli18 [71]

When x = 1
5(1) = -y + 6
5 = -y + 6
y = 6 - 5 = 1

When x = 2
5(2) = -y + 6
10 = -y + 6
y = 6 - 10 = -4

When x = 3
5(3) = -y + 6
15 = -y + 6
y = 6 - 15 = -9

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3 years ago

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The interest rate on the credit card is 15%. If we charge $200 to the credit card how much will pay including the interest?

ollegr [7]

Answer:

Step-by-step explanation:

Interest = 15% of 200 = 15/100 * 200 = 15 * 2 = $30

The Amount he need to pay = 200 + 30 = $230

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3 years ago

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