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AnnyKZ [126]
3 years ago
6

Applying the Segment Addition Postulate

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

144

Step-by-step explanation:

Find: Length of segment BC

CD+DB=BC

3x+8+4x+10=BC

7x+18=BC

BC also equals 8x (given on the screen shot)

7x+18= 8x

x=18

18 times 8 = 144

Check:

3( 18) + 8 + 4(18) + 10

54+8 + 72+10

64+ 80= 144  TRUE

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Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
malfutka [58]

The triangles are similar by SAS principle.

<h3>How to know similar triangles?</h3>

Similar triangles have the same shape but may have different sizes.

In similar triangles, corresponding sides are always in the same ratio.

The corresponding angles are congruent.

Therefore, using SAS ratio,

6 / 8 = 8 × 3 / 32

6 / 8  = 24 / 32 = 3 / 4

Therefore, the corresponding sides are a ratio of each other.

Therefore, the triangles are similar by SAS principles because the two triangles have two pairs of sides in the same ratio and the included angles are also equal

learn more on similar triangle here: brainly.com/question/21480885

#SPJ1

6 0
1 year ago
✎Question:Amirah is 4 years elder than Priya and Shirley is 2 years younger than Priya. If the sum of their ages is 47, find the
Gnom [1K]

Answer:

Priya's age = 15

Amirah's age = 19

Shirley's age = 13

Step-by-step explanation:

Let x be the age of Priya.

According to the question,

Amirah's age = x + 4

Shirley's age = x - 2

Their sum is 47.

So,

x + 4 + x + x - 2 = 47

3x + 2 = 47

3x = 47 - 2

3x = 45

x = 45/3

x = 15

So,

Priya's age = 15

Amirah's age = 15 + 4 = 19

Shirley's age = 15 - 2 = 13

7 0
3 years ago
Read 2 more answers
What is the remainder of 3,368,008 divided by 5574<br><br> I'm looking for the REMAINDER
Mkey [24]
I think it might be 

3,362,461

hopefully that's what you need!!<span />
7 0
3 years ago
I need some heckin help cuz i suck at math :)
vladimir1956 [14]

Answer:

Step-by-step explanation:

Reasons

2. If two lines are parallel, their corresponding angles are congruent.

3. Congruent angles are equal... Why do they even have this step?

4. A straight line forms a linear pair.

5. Angles in a linear pair are supplementary.

6. ∠1 is supplementary to ∠3. Reason: If an angle is congruent to an angle that is supplementary to a third angle, the first and third angles are congruent OR Transitive Property.

7 0
3 years ago
Martia orders 12yd of material to make banners. If she needs 1 foot of fabric for each banner, how many banners can she make?
SOVA2 [1]
You can make 36 banners. there are 3 feet in 1 yard so if you multiply 12 and 3 you get 36

4 0
3 years ago
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