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lisov135 [29]
2 years ago
9

A rectangle has sides that measure x + 1/4

Mathematics
1 answer:
maksim [4K]2 years ago
6 0

Answer:

6x + 5/6

Step-by-step explanation:

2(x + 1/4) + 2(2x + 1/3)

2x + 1/2 + 4x + 2/3

6x + 5/6

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I know y= 40 but what is x ?
puteri [66]

Answer:

x = 67; y = 40

Step-by-step explanation:

You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.

To find x, look at angles 2x - 17 and 63.

They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.

2x - 17 + 63 = 180

2x + 46 = 180

2x = 134

x = 67

6 0
3 years ago
Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.
Advocard [28]

Answer:

y = 3/2x - 8  hope I helped

Step-by-step explanation:

To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).

2y = 3x + 10  --> almost there already, just divide everything by 2 to get y by itself.

y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2

They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.

Now we know that our slope is m = 3/2 and our point is (2, -5)

You can always find the equation of a line using the Point-Slope Formula:

y - y1 = m(x - x1)    --> our x1 is 2 and our y1 is -5, and slope is 3/2

y - (-5) = 3/2(x - 2)   --> Be careful when you have minus a negative number, like we do here. It becomes:

y + 5 = 3/2(x - 2)  --> now distribute the 3/2

y + 5 = 3/2x - 6/2

y + 5 = 3/2x - 3  --> now we can subtract 5 from both sides to get it into slope intercept form.

y = 3/2x - 8  --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)

7 0
2 years ago
Liam sorted music albums in his collection into three genres as shown
djverab [1.8K]
BDE are the correct options
4 0
2 years ago
Solve the system of equations. <br> x+2y=0 <br> 6y= - 3x
Alborosie

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

8 0
2 years ago
In a right triangle, if sin 0 = 8/17 what is cos 0 explain?
Oliga [24]

Answer:

We have sin² x + cos² x =1 for all real x.

Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².

However, remember that if x² = a², then x can be +a or –a.

Therefore, sin x can be either –15/17 or +15/17.

Everyone but Anirban so far has forgotten the negative solution.

Step-by-step explanation:

Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.

3 0
2 years ago
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