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3 years ago

Can u conclude that these triangles are congruent yes or no

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

Hello! these triangles are congruent because they meet the following criteria:

1) they have 3 sides which are the same(you can tell by the number of lines on each side that they are same)

2) they have the same angle

it does not matter if the triangle is flipped, the triangle still has the 3 same angles and sides hence its congruent

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Use the image below to answer the following parts.

12345 [234]

Answer:

Step-by-step explanation:

Part A

Since, the given angles are formed at a point are on a straight line, sum of these angles will be 180°.

Part B

(3x - 5)° + (4x + 2)° + (2x + 3)° = 180°

9x = 180

x = 20

Part C

m∠ADB = (3x - 5)°

= (3×20 - 5)°

= 55°

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= (4×20 + 2)°

= 82°

m∠KBC = (2x + 3)°

= (2×20 + 3)°

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Question 6 (Essay Worth 2 points)<br> Find all polar coordinates of point P = (2, 14°).

andrey2020 [161]

Answer:

(2,14°+360n) and (-2,14°+(2n+1)180°)

Step-by-step explanation:

You start out with (2, 14°)

The polar coordinate can be written as (r, 0) = (r, 0+2nπ) or

(r,0)=(-r,0+2(n=1)π), where n is any integer.

The polar coordinates point : p=(r,0) = (2,14°)

For the positive value of r, the polar coordinate can be written as

p=(2,14°) = (2,14°+360n°), where n is any integer.

For the negative value of r , the polar coordinate can be written as

p=(2,14°) = (-2,14°+(2n+1)180°), where n is any integer.

All the polar coordinates of point P are(2,14°+360n) and (-2,14°+(2n+1)180°).

4 0

3 years ago

The line AB has the midpoint of (2,5) A has coordinates (1,7) find the coordinates of B

Pavel [41]

Answer:

Point B is at (3,3)

Step-by-step explanation:

the mid point is (2,5) and A is at (1,7)

first find the slope:

y1 - y2/x1 - x2

7 - 5/1 - 2

2/-1

-2/1

then go down 2 units and right 1 unit from (2,5):

(2 + 1, 5 - 2) => (3,3)

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3 years ago