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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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WORTH 20 PTS.
Alika [10]

Answer:

$150

61 mph is 11 mph over 50 mph; see where the 11 mph mark is on the graph, and go up on the line to see what the fine is ($150).

Hope this helps :)

4 0
3 years ago
295 feet = _____ meters ?
katen-ka-za [31]

Answer:

Hello! I hope I am correct!

Step-by-step explanation:

295 feet will equal to 89.916 meters.

Steps in order to solve this problem:

First you have to multiply the length in feet by 0.3048.

295x 0.3048 or 295* 0.3048

(295 feet is equivalent to 89.916 meters!)

Will equal 89.916 meters.

Therefore, 295 feet = 89.916 meter

Hope this helps!

Brainliest would be appreciated!

By:BrainlyAnime

(Picture attached)

3 0
3 years ago
What is the value of a?
emmasim [6.3K]

Answer:

A=8

Step-by-step explanation:

If you use the formula 30-60-90 which is a-radical 3a-2a

since the hypotenuse is 2a it equals 16

therefore if its 2a all you need to do is divide it where then you get 8.

6 0
2 years ago
I need help ASAP on number 8 b and c. Thank you
s344n2d4d5 [400]
I think you're having trouble because the equation you wrote for 8a has a slight typo.

The question says that the length is 9 less than twice the width. Your equation states the length is 9 times the width minus 2. So the length actually equals 2w – 9, meaning that w(2w – 9) = 180

Hope this helps! If you're still having trouble, let me know :)
6 0
3 years ago
In an arithmetic sequence, t4 + t5 + t6 = 300, and t15 +t16+ t17 = 201. Find t18.
stiks02 [169]
In an arithmetic sequence:
Tn=t₁+(n-1)d

t₄=t₁+(4-1)d=t₁+3d
t₅=t₁+(5-1)d=t₁+4d
t₆=t₁+(6-1)d=t₁+5d

t₄+t₅+t₆=(t₁+3d) +(t₁+4d)+(t₁+5d)=3t₁+12d

Therefore:
3t₁+12d=300    (1)


t₁₅=t₁+(15-1)d=t₁+14d
t₁₆=t₁+(16-1)d=t₁+15d
t₁₇=t₁+(17-1)d=t₁+16d

t₁₅+t₁₆+t₁₇=(t₁+14d)+(t₁+15d)+(t₁+16d)=3t₁+45d

Therefore:
3t₁+45d=201    (2)

With the equations (1) and (2) we make an system of equations:

3t₁+12d=300
3t₁+45d=201

we can solve this system of equations by reduction method.

  3t₁+12d=300
-(3t₁+45d=201)
-----------------------------
       -33d=99      ⇒d=99/-33=-3

3t₁+12d=300
3t₁+12(-3)=300
3t₁-36=300
3t₁=300+36
3t₁=336
t₁=336/3
t₁=112

Threfore:

Tn=112+(n-1)(-3)
Tn=112-3n+3
Tn=115-3n

Now, we calculate T₁₈:

T₁₈=115-3(18)=115-54=61

Answer: T₁₈=61




5 0
3 years ago
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