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Shtirlitz [24]
3 years ago
13

Can someone please help me on "Equation practice with angle addition"??​

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0

Answer:

mAOB = 139 degrees

Step-by-step explanation:

1) By supplementary angles, you can set up the equation:

mAOB + mBOC = mAOC = 180

8x + 51  + (6x - 25) = 180

2) Solve for x:

14x + 26 = 180

14x = 154

x = 11

3) Substitute x into 8x + 51 to get mAOB:

8(11) + 51

=88 + 51

=139

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What is the length of side AD?. . . 6 cm. 8.5 cm. 10.4 cm. 12 cm
ludmilkaskok [199]
In triangle ABC, AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x)  tan30 <span>=(24−x)/</span><span>√3
</span>

In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6

AD = AC - DC = 24- (24-x) = 6</span></span>
5 0
3 years ago
Read 2 more answers
) Fred buys a video game disk for $4. There was a discount of 20%.What is<br> the sales price?
dolphi86 [110]

Answer:

so 4 dollars is discount

100-20=80 so

4 dollars =80%

1 dollar=20%

80+20=100

4+1=5

original price=$5

6 0
2 years ago
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(ar^b) ^4 = 16r^20 where a and b are positive integers work our a and b​
ivolga24 [154]

Answer:

a = 2

b = 5

Step-by-step explanation:

Given :

(ar^b)^4 = 16r^20 ; a and b are positive integers :

Opening the bracket :

a^4r^4b = 16r^20

a^4 = 16 - - - - - (1)

r^4b = r^20 - - - (2)

a^4 = 16

Take the 4th root of both sides :

(a^4)^(1/4) = 16^1/4

a = 2

From (2)

r^4b = r^20

4b = 20

Divide both sides by 4

4b/4 = 20/4

b = 5

Hence ;

a = 2

b = 5

6 0
3 years ago
What is the value of the x-coordinate of point W? Enter your answer as a decimal to the nearest 0.5.
levacccp [35]
I attached a screenshot with the complete question.

Answer:
x-coordinate of point w is nearly -3.5

Explanation:
To get the x-coordinate of a certain point, we would need to read the value of this point on the horizontal axis (the x-axis).
Taking a look at point w, we would find that it is in the second quadrant. This means that it has a negative x-value.
Now, reading the x-value on the horizontal axis, we can see that it is nearly midway between points -3 and -4.
This means that point w is approximately -3.5

Hope this helps :)

6 0
3 years ago
1. 3x + 9 = 12x + 36<br> x=
kozerog [31]

Answer:

x = -3

Step-by-step explanation:

3x + 9 = 12x + 36 (rewrite)

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3x - 12x = 36 - 9 (collect like terms)

-9x = 36 - 9 ( substract)

-9x = 27 (divide both sides for the answer)

-9       -9

x = -3

7 0
2 years ago
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