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Phoenix [80]
3 years ago
12

The angles shown below are supplementary:

Mathematics
2 answers:
ASHA 777 [7]3 years ago
8 0

Step-by-step explanation:

supplentary means they add to 180

so you can make the formula 180 = 10x + 80

then solve for x

Dima020 [189]3 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

Supplementary angles add up to equal 180°

Thus, 10x + 80 = 180

Now that we have identified the equation we solve for x

10x + 80 = 180

step 1 subtract 80 from each side

80 - 80 cancels out

180 - 80 = 100

we now have 100 = 10x

step 2 divide each side by 10

100 / 10 = 10

10x / 10 = x

we're left with x = 10

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Write the standard form of the line that passes through the the given points. (3,1) and (-2,3)
Molodets [167]

Answer:

Step-by-step explanation:

(3-1)/(-2-3)= -2/5

y - 1 = -2/5(x-3)

y - 1 = -2/5x + 6/5

y - 5/5 = -2/5x + 6/5

y = -2/5x + 11/5

standard form is

5y = -2x + 11

2x + 5y = 11

4 0
3 years ago
Two angles of a quadrilateral measure 244º and 48º. The other
mafiozo [28]

Answer:

16° and 52°

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360.

360 - 244 - 48 = 68

68 is the sum of the two angles that are in a ratio of 4:13

So, let 4x = measure of one of the angles

and 13x = measure of the other angle

Then 4x + 13x = 68

17x = 68

x = 4

4x = 16  and 13x = 52

Therefore, the measures of the two angles are 16 and 52

Check:  16 + 52 + 244 + 48 = 360  and 16:52 = 4:13

4 0
3 years ago
Find a unit vector that is orthogonal to both u and v<br><br> .u = −8, −6, 4<br> v = 17, −18, −1
lisov135 [29]

Answer:

\left(\frac{\sqrt{78}}{30},\ \frac{\sqrt{78}}{39}\ ,\frac{41\sqrt{78}}{390}\right)

3 0
1 year ago
Determine the equation of the linear graph that passes through (-2,3) and (4,6). State your answer in the
Lena [83]

The linear equation is y = 4 + 0.5x

<h3>How to determine the equation?</h3>

The points are given as: (-2,3) and (4,6)

The equation is then calculated using:

y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1

Substitute the known values

y = \frac{6-3}{4+2} *(x+2) + 3

Evaluate

y = 0.5 *(x+2) + 3

Expand

y = 0.5x + 1 + 3

Evaluate the sum

y = 0.5x + 4

Rewrite as:

y = 4 + 0.5x

Hence, the equation is y = 4 + 0.5x

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

3 0
2 years ago
A stockbroker has money in three accounts. The interest rates on the three accounts are 7%, 8%, 9%. If she has twice as much mon
Sveta_85 [38]

Answer:

x=amount invested at 7%

2x=amount invested at 8%

3x=amount invested at 9%

interest=principal*rate*time (time=1 year)

$150=0.07x+0.08*2x+0.09*3x

$150=0.07x+0.16x+0.27x

$150=0.50x

$1500=5x

x=$300 invested at 7%

2x=$600 invested at 8%

3x=$900 invested at 9%

Step-by-step explanation:

5 0
3 years ago
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