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2 years ago

If mAD = (17x + 2)°, mAC = (7x - 10°), and m∠ABC = (4x + 15)°, find m∠ABC Please help

Mathematics

1 answer:

goldenfox [79]2 years ago

4 0

Answer:

m<ABC = 51degrees

Step-by-step explanation:

The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;

m<B = 1/2 (arcAD - arcAC)

<ABC = 1/2(17x + 2 -(7x - 10°))

4x + 15 = 1/2(17x-7x+2+10)

2(4x+15) = 10x+12

8x + 30 = 10x+12

8x-10x = 12-30

-2x = -18

x = 18/2

x = 9

Get m<ABC

m<ABC = 4x + 15

m<ABC = 4(9) + 15

m<ABC = 36 + 15

m<ABC = 51degrees

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Sveta_85 [38]

Answer:

(0,-4)(6,0)

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Put a point where the coordiantes say to, then draw a straight line connecting them.

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3 years ago

Draw and label the final image of △ABC after the given sequence of transformations. Reflect △ABC over the y−axis and then transl

arlik [135]

Answer: The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and (-2,4) respectively.

If a point reflects over the y-axis then,

$(x,y)\rightarrow(-x,y)$

So after reflecting coordinates of point C become,

$(-2,4)\rightarrow(2,4)$

If a point translated by (a,b), then

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So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

$(2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)$

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8 0

3 years ago

Write an equation of the line passing through the given point (6,-7) and having the given slope m=-9. Write the final answer in

Ede4ka [16]

Y-(-7)=-9(x-6)
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3 0

3 years ago

How to you solve -15=y-62

sdas [7]

First move the (Y) to the other side of the equal sign,
$- y - 15 = - 62$
Then subtract add (15) on both sides
$- y = - 47$
Since a variable can't be negative just divide by (-1) on both sides,
$\frac{ - y}{ - 1} = \frac{ - 47}{ - 1}$
The answer would be,
$y = 47$
Hope this helped
:D

7 0

3 years ago

Pls help will give brainliest

lana [24]

Answer: The answer is B

Step-by-step explanation: 122 >7 (z+8) -5 (6+z). Then switch them, 7 (z+8) -5 (6+z) <122. Expanded: 7 (z+8) -5 (6+z) <122:v 2z+26

2z+26<122, subtract 26 from both sides: 2z+26-26<122-26

Simplify: 2z<96, divide both sides by 2: 2z over 2 < 96 over 2

and finally simplified: Z<48

HOPE THIS HELPED YOU OUT!

IF NOT SORRY!

6 0

3 years ago