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kari74 [83]
2 years ago
6

What's the answer to this

Mathematics
1 answer:
White raven [17]2 years ago
4 0

Step-by-step explanation:

the angle CDB is the supplementary angle to 9x+10 (angle ADC).

that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.

and then, the sum of all angles in a triangle is always 180°.

so,

CDB + (4x + 10) + 50 = 180

CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x

therefore,

(170 - 9x) + (4x + 10) + 50 = 180

170 - 9x + 4x + 10 + 50 = 180

-5x = -50

5x = 50

x = 10

angle CDB = 170 - 9x = 170 - 90 = 80°

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Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.
andrew11 [14]

Answer:

y=-x+3

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.

In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:

-\frac{1}{1} =\\-1

Therefore, our perpendicular slope is -1. We now have equation:

y=-x+b

We can plug in the known values of the point (-1,4) to solve for b.

4=(-1)*(-1)+b\\4=1+b\\b=3

If we now put what we found together, we have equation

y=-x+3

<em>I hope this helps! Let me know if you have any further questions :)</em>

7 0
3 years ago
Absolute value of −4.5
ddd [48]

Answer:

<h2>|-4.5| = 4.5</h2>

Step-by-step explanation:

|a| = a for a ≥ 0

|a| = -a for a < 0

therefore

|-4.5| = -(-4.5) = 4.5

4 0
3 years ago
If (50)x = 1, what are the possible values of x? Explain your answer
Lelechka [254]
Than you multiplie tha 50 by 1/50 so will get 50/50 what is equal 1

hope this is understandably sure right easy 
5 0
3 years ago
Natasha is making fudge. The recipe calls for 2 pounds of chocolate. Natasha uses a digital scale to weigh the chocolate she has
SpyIntel [72]

Answer:

Yes

Step-by-step explanation:

Th .06 lbs of chocolate will not affect the recipe because .06 is only 3% off.

4 0
4 years ago
Hey square piano has an area of 200 ft.² how long is each side of the piano to the nearest 0.05
sergey [27]
Since all sides of the square are equal, therefore area of square can be calculated using the following rule:
area of square = side^2
200 = (side length)^2
therefore,
the length of each side is sqrt(200) = 14.14 ft
4 0
3 years ago
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