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3 years ago

Which of the following is equivalent to 2(x2 – x) + 3(x2 – x)?

Mathematics

1 answer:

crimeas [40]3 years ago

3 0

Answer: 5x(x-1)

Step-by-step explanation:

2(x2 - x) + 3 (x2 - x)

5x(2 power) - 5x

= 5x(x - 1)

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The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5,

Alenkasestr [34]

Answer:

the answer is 7.5

Step-by-step explanation:

took the quiz on edge ;-)

8 0

3 years ago

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Can you help me solve it

serg [7]

Answer:

-5xy²(3x-5)is your answer

5 0

3 years ago

In Exercises 37– 40, BD ⃗ bisects ∠ABC. Find m∠ABD,<br><br>m∠CBD, and m∠ABC.

MrRissso [65]

Answer:

37, ABD = CBD = 44 degrees, and ABC = 88 degrees

38. ABD = CBD = 24 degrees, and ABC = 48 degrees

39. ABD = CBD = 65 degrees, and ABC = 130 degrees

40. ABD = CBD =67 degrees, and ABC = 134 degrees

Step-by-step explanation:

Recall that when a segment bisects an angle, the angle is divided in equal parts then we have:

37.

6 x + 14 = 3 x + 29

3 x = 19 - 14 = 15

x = 15/3

x = 5

then ABD = 6 (5) + 14 = 30 + 14 = 44 degrees

CBD must equal ABD , so CBD = 44 degrees

And the total angle ABC = 88 degrees

38.

3 x + 6 = 7 x - 18

24 = 4 x

x = 24/4 = 6

Then ABD = 3 (6) + 6 = 24 degrees. Also CBD = 24 degrees and ABC = 48 degrees

39.

- 4 x + 33 = 2 x + 81

- 6 x = 81 - 33

-6 x = 48

x = - 48/6

x = -8

Then ABD = -4 (-8) + 33 = 32 + 33 = 65 degrees

The also CBD = 65 degrees, and ABC = 130 degrees

40.

8 x + 35 = 11 x + 23

35 - 23 = 11 x - 8 x

12 = 3 x

x = 12/3

x = 4 degrees

Therefore:

ABD = 8 (4) + 35 = 32 + 35 = 67 degrees.

Then also CBD = 67 degrees, and ABC = 134 degrees

3 0

3 years ago

name the theorem or postulate that lets you conclude triangle ABD is congruent to triangle CBD with only one additional step

evablogger [386]

Answer:

The answer is the first one ⇒ AAS

Step-by-step explanation:

∵ DB ⊥ AC

∴ m∠DBA = m∠DBC = 90° ⇒ (1)

∵ m∠A = m∠C ⇒ (2) given (from figure)

∵ DB is a common side in the two Δ ⇒ (3)

From (1) , (2) and (3)

∴ Δ ABD is congruent to Δ CBD ⇒ AAS

4 0

4 years ago

How to find the measure of an exterior angle on a triangle

nexus9112 [7]

Hi there!

There are many ways to find the measure of an exterior angle of a triangle. I'll explain the easiest method to you. As you can see in the image, a line is drawn extending a side of the triangle. In order to find the measure of the exterior angle, we can subtract the measure of the adjacent interior angle from 180 (a straight angle). Doing this subtraction will give us the measure of the exterior angle.

Hope this helps!! :)

6 0

3 years ago

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