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MArishka [77]
3 years ago
6

A student inscribes a triangle inside a circle. The triangle divides the circle into arcs with the following measures: 46°, 102°

, and 212°. What are the measures of the angles of the triangle?
Mathematics
1 answer:
hoa [83]3 years ago
8 0
The angle of each arc is going to equal the measure of the angle opposite the arc... so the angles of the triangle will also be 46 degrees, 102 degrees, and 212 degrees.

(Look at one of the angles of the triangle and follow it as it opens up all the way to the other side of the circle and you'll see the equivalent arc)
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Passing through point (4, 9) and perpendicular to the line y= -1/5x -3
Ratling [72]

Answer:

y = 5x-11

Step-by-step explanation:

The slope intercept form of a line is y =mx+b where m is the slope

y = -1/5 x-3

The slope is -1/5

Lines that are perpendicular have negative reciprocal slopes

-1 /(-1/5)

-1 * -5/1

5

The slope of the line that is perpendicular is 5

y=5x+b

Using the point (4,9)

9 = 5(4)+b

9 = 20+b

9-20 =b

-11

y = 5x-11

6 0
3 years ago
EFGH is a rhombus. Given EG = 16 and FH = 12, what is the length of one side of the rhombus?
Black_prince [1.1K]

Answer:

(C) 10 units

Step-by-step explanation:

It is given that EFGH is a rhombus and EG = 16 and FH = 12.

We know that the diagonals of the rhombus are the perpendicular bisectors, therefore OF=6, OH=6, OE=8 and OG=8.

Now, using the Pythagoras theorem in ΔOFG, we have

(FG)^{2}=(OG)^{2}+(OF)^{2}

(FG)^{2}=(8)^{2}+(6)^{2}

(FG)^2=64+36

FG=\sqrt{100}

FG=10

Thus, the value of the side of the rhombus will be 10 units.

Hence, option C is correct.

3 0
4 years ago
Read 2 more answers
Please help i have to turn this in in 10 mins
Delicious77 [7]

Answer:

3) yes by AA~...

Step-by-step explanation:

ALTERNATE INTERIOR ANGLES

3 0
3 years ago
A bus can carry a maximum of 60 passengers. Each row accommodates the same number of passengers. If two rows are added then each
VashaNatasha [74]

Answer:

10 rows with 6 passengers per row

Step-by-step explanation:

Let x be the number of rows and y the number of passengers per row.

Then we can interpret the story as the following two equations:

xy=60

(x+2)(y-1)=60

Solving these two equations:

y=60/x

(x+2)(60/x-1)=60     (substitute y)

60 - x + 120/x - 2 = 60 (multiply by -x)

x² + 2x - 120 = 0     (factor)

(x-10)(x+12) = 0

x = 10

y = 60/10 = 6

and indeed 10 * 6 = 60 and also 12 * 5 = 60

7 0
3 years ago
Write the number 110 as a sum of hundreds tens
vekshin1
I think................U do 100 = 10 because 100 is the hundreds and the tenths is the 10.
6 0
3 years ago
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