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Step2247 [10]
3 years ago
6

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

Mathematics
1 answer:
FinnZ [79.3K]3 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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What is the product of a+3 and −2a2+15a+6b2?
zhannawk [14.2K]

Answer:

-2a³+9a²+45a+6ab²+18b²

Step-by-step explanation:

(a+3)(-2a²+15a+6b²)

Distribute the a:

-2a³+15a²+6ab²

Then distribute the 3:

-6a²+45a+18b²

Now add both of the results together:

-2a³+15a²+6ab²-6a²+45a+18b²

Combine like terms:

-2a³+9a²+45a+6ab²+18b²

8 0
2 years ago
Read 2 more answers
Could someone please explain/help me to do this using Pythagoras theorem?
alex41 [277]

Answer:

\boxed{478.02}

Step-by-step explanation:

→ First understand what Pythagoras theorem is

Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.

→ State the formula and identify the letters

a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out

→ Substitute in the values into the formula

380² + 290² = c²

⇒ Simplify

144400 + 84100 = c²

⇒ Collect the numbers together

228500 = c²

⇒ Square root both sides to find 'c'

478.0167361 = c

→ The length of the diagonal is 478.02

8 0
3 years ago
How to cross multiply 9/12 =x/100?
Ilia_Sergeevich [38]
The answer is 75. 1. You simplify which is 3/4
2. Change to decimal then number you will get .75 move decimal two to the right to change to number then you will get 75!
6 0
3 years ago
Find the sum of the first 7 terms of the following series, to the nearest integer. 150,60,24...
Sonja [21]

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.

<h3>What is geometrical series?</h3>

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is an geometric series, the details of the series are:

a₁ = 150

r = 60/150 = 0.4

n = 7

The sum of the geometric series is,

S = 150(1-0.4⁶)/(1-0.4)

S = 248.976 ≈ 249

Hence, the sum of the first seven terms of the series is 249.

Learn more about Geometrical Series:

brainly.com/question/4617980

#SPJ1

4 0
2 years ago
Read 2 more answers
There are 26 third graders and 32 fourth graders going on a field trip. Each van can carry 10 people
nataly862011 [7]

Answer:

Approximately 6 buses

Step-by-step explanation:

If you are wanting know how many vans they are going to need:

26 + 32                    -This helps you know how many total kids there are

= 58

58 / 10                      -This solves how many buses you'll need

= 5.8                   - Round up, and say you need 6 buses.


4 0
3 years ago
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