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3 years ago

HELP GEOMETRY find x and y

Mathematics

1 answer:

GenaCL600 [577]3 years ago

8 0

A well-known formula gives us that $y = \frac{6x-3x}{2} = \frac{3x}{2}$ . Additionally, the sum of the angles in a circle is 360, so $6x+3x=9x=360$ , so $x=40^\circ$ . Therefore, $y = 60^\circ$ .

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Which of the following statements is true about rays?

inysia [295]

Answer: B. They are one-dimensional objects

This applies to line segments and lines as well.

One dimensional objects are such that they only have one component to them when it comes to determining a location on that object.

For instance, a number line is one dimensional because we only need one number to determine where a location is.

A ray is effectively a half-line, or put another way, a line is the combination of two rays glued together. Basically a ray points forever in one direction only, as a line will point in two opposite directions.

Extra side notes:

I can't think of any zero dimensional objects off the top of my head.
3D space is a 3 dimensional object because we need 3 coordinates to determine an exact location.
A flat 2D plane is a 2 dimensional object because we need 2 coordinates to determine a location.

8 0

2 years ago

The area of the opening of a rectangular window is to be 120 square feet. If the length is to be 2 feet more than the width, wha

larisa86 [58]

Answer:

Width = 10ft

Length = 12ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is calculated as:

A = L*W

In this case, we know that:

The area is 120 ft^2.

The length is 2 ft more than the width.

Then we can write:

L = W + 2ft.

If we use these two equations and replace them in the equation for the area of a rectangle, we get:

A = 120ft^2 = W*L = W*(W + 2ft)

120ft^2 = W*(W + 2ft)

Now we can solve this for W

120 ft^2 = W^2 + 2ft*W

Now we can rewrite this as:

W^2 + 2ft*W - 120ft^2 = 0

The solutions of this equation can be found by the Bhaskara's formula.

We know that for an equation of the form:

a*x^2 + b*x + c = 0

The two solutions are given by:

$x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}$

in our case, we have:

a = 1

b = 2ft

c = -120ft^2

Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:

$W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}$

Then the two solutions are:

W = (-2ft - 22ft)/2 = -12ft (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)

The other solution is:

W = (-2ft + 22ft)/2 = 10ft (this is the correct solution)

Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:

L = W + 2ft = 10ft + 2ft = 12ft

4 0

3 years ago

Find the measure of the marked angle

MissTica

Answer:

13x + 5x = 90

18x = 90

x = 90/18

x = 5

first angel

5x = 5 × 5 = 25

second angel

13x = 13 × 5 = 65

3 0

3 years ago

Idk how to do this bucko so please help

Marianna [84]

solve for y in equation 1

x+y=7

y= 7-x

Then plug in y = 7x into second equation

7x+2x=6

9x=6

x=6/9

x=2/3

Now you know x. To find y, plug x into first equation

2/3 + y = 7

y = 7- 2/3

y = 19/3

4 0

4 years ago

Amirah is 4 years older than Priya and Shirley is

jenyasd209 [6]

Answer:

Priyah = 15

Amirah = 19

Shirley = 13

Step-by-step explanation:

Let A represents Amirah, P Priyah and S, Shirley.

So, we have:

$A = 4 + P$ --- 4 years older

$S = P - 2$ --- 2 years younger

$A + P + S = 47$

Required

Find their ages

Substitute 4 + P for A and P - 2 for S in $A + P + S = 47$

$4 + P + P + P - 2 = 47$

$4 + 3P - 2 = 47$

Collect Like Terms

$3P = 47 - 4+ 2$

$3P = 45$

Divide both sides by 3

$P = \frac{45}{3}$

$P = 15$

Substitute 15 for P in $A = 4 + P$ and $S = P - 2$

$A = 4 + 15$

$A = 19$

$S = 15 - 2$

$S = 13$

8 0

3 years ago