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3 years ago

Fill in the blank. Given ○R below, you can conclude that RA is congruent to ____.

Mathematics

2 answers:

Vilka [71]3 years ago

8 0

Answer:

Step-by-step explanation:

Answer D is correct. The indicated line segments are both radii of the circle and are thus of the same length (and thus, congruent).

Sonja [21]3 years ago

7 0

Answer: D. RE

Step-by-step explanation:

In the given picture , we have a circle with center R having two chords as WF and MU.

The two chords WF and MU have equal length.

i.e. $WF=MU=11.2$

We know that the equal chords of a circle are equidistant from the center.

⇒ $\overline{RA}=\overline{RE}$

Therefore, we conclude that RA is congruent to <u>RE</u>.

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Gustavo's bicycle cost $171.18 after a sales tax of 8%. write and solve an equation to find the price of the bike before the sal

Kryger [21]

Let x = price of the bike before a sales tax.

The price after a sales tax of 8% is
x + 0.08x = 1.08x dollars

Because the price paid was $171.18, therefore
1.08x = 171.18
x = 171.18/1.08 = $158.50

Answer: 158.50

3 0

3 years ago

Please help, very confused

miss Akunina [59]

Answer:

-3x + 8y = -5

6x + 2y = -8

Set the equations to a common variable.

-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8

6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4

Set the equations equal to each other.

3/8x - 5/8 = -3x - 4

Combine like terms.

3x + 3/8x = -4 + 5/8

3.375x = -3.375

Divide by 3.375

x = -1

Plug x back in to find y.

-3x + 8y = -5

-3(-1) + 8y = -5

3 + 8y = -5

8y = -8

y = -1

answer: (-1, -1)

3x + 2y = -16

-3x - 8y = 46

Set the equations to a common variable.

3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8

-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4

Set the equations equal to each other.

-3/2x - 8 = -3/8x - 23/4

Combine like terms.

-9/8x = 9/4

-1.125x = 2.25

Divide by -1.125

x = -2

Plug x back in to find y.

3(-2) + 2y = -16

-6 + 2y = -16

2y = -10

y = -5

answer: (-2, -5)

6 0

3 years ago

Read 2 more answers

One hundred twenty feet of fencing encloses a rectangular garden on three sides. One side of the garden is the side of a barn an

andre [41]

Answer: The garden has dimensions 30 ft wide X 60 ft long

Step-by-step explanation:

Denote by W the width of the garden and L the length of the garden (longer side) as in the figure attached. The red sides on the figure represent the parts of the garden that require fencing.

L is also the measure of a vertical side of the garden, because a rectangle consists only of vertical and horizontal sides.

We know that the barn is parallel to the longer (vertical) side, so only one of the vertical sides L of the rectangle needs fencing. The other two parts correspond to the horizontal sides of the rectangle so they require 2W feet of fencing. Altogether, the 120 ft of fencing enclose the L+2W ft of the fence, then 120=L+2W. Because the longer side is twice the width, we have that L=2W, so 120=2W+2W=4W. From here, W=30 ft and L=2(30)= 60ft.