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Step2247 [10]
3 years ago
7

What is the value of y?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
5 0

Answer:

\boxed{D. \: 40\degree}

Step-by-step explanation:

<em>Angle sum property of triangle states that the sum of interior angles of a triangle is 180°</em>

So,

=  > 2y \degree + (y + 10)\degree + 50\degree = 180\degree \\  \\  =  > 2y\degree + y\degree + 10\degree + 50\degree = 180\degree \\  \\  =  > 3y\degree + 60\degree = 180\degree \\  \\  =  > 3y\degree = 180\degree - 60\degree \\  \\  =  > 3y\degree = 120\degree \\  \\  =  > y =  \frac{120\degree}{3\degree}  \\  \\  =  > y = 40\degree

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When multiplying a vector by a positive scalar number, the vectors _____ stays the same
shepuryov [24]

Answer:

Direction

Step-by-step explanation:

Multiplying a vector by a positive scalar numbers impacts its horizontal and vertical components by the same proportional amount, but doesn't change its direction.

7 0
3 years ago
Graph the solution to the following linear inequality in the coordinate plane 5x-y&gt;-3
Irina18 [472]

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

      -y > -5x  -  3

       y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<",  to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

6 0
4 years ago
Y’all I need help asap. I also need to show my work for this so if you can find the slope AND explain how that would be AMAZING
DochEvi [55]

Answer:

Step-by-step explanation:

Slope = rise/run

pick two points, (0,2) (3, -7)

take their y values and subtract them

take their x values and subtract them

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simplify

-3

4 0
3 years ago
If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year?
Ivan

Answer:

The simple interest earned in one year is $10.5

Step-by-step explanation:

Simple interest = p × r × t

Where,

p = principal

r = interest rate

t = time

Principal= $350

Interest rate = 3%

=3/100

=0.03

Time= 1 year

Simple interest = p × r × t

= $350 × 0.03 × 1

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The simple interest earned in one year is $10.5

5 0
3 years ago
Judy is inside a cave at an elevation of 20 meters. She will lower herself in 6 equal descents
alexgriva [62]

Answer:

20-6x<-10

Step-by-step explanation:

Got it right on my test

3 0
3 years ago
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