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morpeh [17]
4 years ago
11

Find the value of each variable. For the circle, the dot represents the center.

Mathematics
1 answer:
Musya8 [376]4 years ago
8 0

Answer:

Part 1) The measure of angle d is 65°

Part 2) The measure of angle c is 89°

Part 3) The measure of arc a is 131°

Part 4) The measure of arc b is 47°

Step-by-step explanation:

we know that

In an inscribed quadrilateral, opposite angles are supplementary

step 1

Find the measure of angle d

∠d+115°=180°

∠d=180°-115°=65°

step 2

Find the measure of angle c

∠c+91°=180°

∠c=180°-91°=89°

step 3

Find the measure of arc a

we know that

The inscribed angle measures half that of the arc comprising

115°=(1/2)[99°+arc a]

230°=[99°+arc a]

arc a=230°-99°=131°

step 4

Find the measure of arc b

we know that

The inscribed angle measures half that of the arc comprising

∠c=(1/2)[arc a+arc b]

substitute the values

89°=(1/2)[131°+arc b]

178°=[131°+arc b]

arc b=178°-131°=47°

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What number set 1/2 belongs to? rational, irrational, integer, or natural​
dusya [7]

Answer:

Rational

Step-by-step explanation:

1/2 would be 0.5 and 0.5 goes into the Rational catagory.

3 0
4 years ago
Please help me so i don't fail :(
N76 [4]

Answer:

y = 2x + 6

Step-by-step explanation:

slope-intercept form => y = mx + b

substitute two of the (x, y) into the equations: y = mx + b  to solve for m and b

=> 0 = -3m + b, 6 = 0m + b

6 = 0m + b => b = 6

substitute b = 6 into 0 = -3m + b to solve for m:

=> 0 = -3m + 6 => -3m = -6 => m = 2

plug in b = 6 and m = 2 into the equation y = mx + b:

=> y = 2x + 6

4 0
3 years ago
Read 2 more answers
Which ordered pair will be solution for the function y = 8 + x?
steposvetlana [31]

A point is represented by (X,Y).

So you want to find what X values = Y . In this case, when you plug in 4 for x, your left with y= 12 not 13. When you plug in 6 for x your left with y=14 which is true

7 0
3 years ago
How do i solve this
Brilliant_brown [7]

Answer:

m <E = 134

Step-by-step explanation:

Triangle DEF looks like an isosceles triangle to the base angles are the same measure.

6x+11 = 10x+3

Subtract 11 from both sides

6x = 10x-8

Subtract 10x from both sides

-4x = -8

Divide -4 from both sides

x = 2

Substitute 2 into both equations to make sure it works

6 (2) + 11

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23

10 (2) +3

20+3

23

Both angles equal 23 degrees.

Now subtract both angles from the total angle measure of 180.

180-23-23=134

6 0
3 years ago
What is square root of 28 approximated to the nearest tenth?
Kryger [21]
Say to yourself - which whole numbers does the square root of 28 lie between.
Well 5 x 5 = 25  and 6 x 6 = 36.   So it lies between 5 and 6 and because 28 is a little closer to 25 than it is to 36, we should guess a number that is less than 5.5.

It doesn't matter whether I chose 5.4, 5.3, 5.2 or 5.1 but my best guess would be about 5.2 or 5.3.  I already know which is the better of the two having used a calculator.  But instead I am going pretend I don't have one handy and I will use 5.2
Now I will divide 28 by 5.2     28/5.2=5.38 rounded to the nearest hundredth.
Now I will find the average of my divisor (5.2) and my answer 5.38
(5.2+5.38)/2 = 5.29  I will use that number (5.29) as my new divisor
28/5.29 = 5.293 rounded.   I already have enough information to round the square root of 28 to the nearest tenth.  It will be 5.3 since the 9 is large enough 
 to round the 2 to a 3.  5.3 is the answer.
We could continue to average the answer and the divisor and use the new number to round the square root of 28 to the nearest 100th, 1000th and so on, but because the square root of 28 is irrational, we will never get an exact answer.  There is no number times itself that equals 28.
8 0
3 years ago
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