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MAXImum [283]
3 years ago
5

In the circle m∠ACD=2x+14 and m∠ABD=3x+8 what is the value of x

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

The value of x = 6

Step-by-step explanation:

The angle subtended on same arc are equal in measure.Here <ACD and <ABD  are on the same arc. therefore these two angle are equal.

it is given that,  m∠ACD=2x+14 and m∠ABD=3x+8

From the figure we get,

m∠ACD = m∠ABD

Therefore we can write,

2x+14 = 3x+8

3x - 2x = 14 - 8

x = 6

Therefor the value of x = 6

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Apply the distributive property to factor out the greatest common factor. 12+20
vladimir2022 [97]

Answer:

4 is the answer.

Step-by-step explanation:

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3 years ago
Parallel to y= -2x + 3 passes through the point (-2, -1)
elena55 [62]

Answer:

y = -2x - 5

Step-by-step explanation:

An equation of a line in slope-intercept is y=mx + b.

x and y are points on the line.

m is the slope.

b is the y-intercept.

To find this equation, we will need to find m and b.

When lines are parallel, they have the same slope.

A line parallel to y = -2x + 3 has a slope of -2.

m = -2

To find b, substitute into the equation a point on the line (-2, -1) and m = -2.

A point is in the form (x, y). So x = -2, y = -1.

y = mx + b

-1 = (-2)(-2) + b  Simplify by multiplying the (-2)(-2)

-1 = 4 + b   Subtract 4 from both sides to isolate b

-5 = b

b = -5   Writing the variable on the left side is standard formatting

Since we now know the y-intercept, b= -5, and the slope, m = -2, substitute them into y=mx + b to get the equation of the line.

y = -2x - 5

6 0
3 years ago
Katherine has at least 2 hours of homework every night. If "h" is the number
marishachu [46]

Answer:

h \geq  2

Step-by-step explanation:

h has to be 2 or more since there is at least 2 hours.

6 0
2 years ago
HELP PLEASE !!! 15 POINTS
Deffense [45]

Y=1/2X+2 (the third one)

7 0
2 years ago
Joe wants to saw a wooden plank into 3/4 meter prices the lenght of the wooden plank is 3 3/4 meter how many 3/4 meter prices pi
Debora [2.8K]
(3 3/4) / (3/4) =
(15/4) / (3/4)...when dividing with fractions, flip what u r dividing by, then multiply

15/4 * 4/3 =
15/3 =
5 <== Joe can saw 5 three-fourth pieces from the wooden plank
5 0
3 years ago
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