Line segment xy is tangent to circle z at point u. circle z is shown. line segment u v is a secant. line segment x y is a tangent and intersects the circle at point u. the measure of arc u v is 84 degrees. if the measure of arc u v is 84°, what is the measure of angle y u v? 42° 84° 96° 168°

Answers

Answer 1

Based on the calculations, the measure of angle YUV is equal to 42°.

What is a line segment?

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

O is center of circle (∠YUO  = 90°)The measure of arc UV is 84° (∠UOV = 84°)OU is equal to OV and equal to radius (∠OVU = ∠OUV)

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

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Answer 2

Answer:

42

Step-by-step explanation:


Related Questions

(see image) please help I need help with this math problem * i give brainlist

Answers

Answer: a) g(x)=(x-5)^2-6

Locate √13 √17 on number line. (Please step by step explanation or preferably done in notebook) I’ll mark brainless the best answer

Answers

Explanation:

Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.

Numbers provided:

√13 = 3.605551275 ≈ 3.61

√17 = 4.123105625 ≈ 4.12

Step by Step Solving:

The number 3.61 will be between 3.5 and 3.7The number 4.12 will be between 4 and 4.2

Plot the points (circled area's):

17 Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim's percentage profit.
Give your answer to 1 decimal place.

Answers

Answer:

46.7

Step-by-step explanation:

Sp-Cp

$44-$30=$14

14/Cp x 100

= 14/30 x 100=46.66%

Ans= 46.7%

Proof

% x CP

46.66/100 x $30= $13.998

$13.998= SP-CP

Hope it helps

Jim's got profit percentage is 46.67%

What is profit percentage?

Profit percentage is refer to "the amount of profit that has been incurred in terms of  percentage".

According to the question,

Jim buys a wardrobe for £30 which is cost price of wardrobe and he sells £44.

In order to find profit percentage we have to use formula.

Profit percentage = [tex]\frac{selling price - cost price }{cost price}[/tex] × 100

= [tex]\frac{(44-30)}{30}[/tex] × 100

= [tex]\frac{14}{30}[/tex] × 100  

= 46.6667%  ≈ 47%

Hence, Jim's got profit percentage is 46.67%.

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five numbers have a mean of 3. four of the numbers are 7,5,2,-4. what is the 5th number?​

Answers

Answer:   The fifth number is 5

Step-by-step explanation:

Alicia found $1.90 on the beach. Her brother found three times as much money. How much money did Alicia and her brother find in total? $5.70 $7.60 $9.60 $11.40

Answers

7.60, 1.90 times 3 is 5.7 and then you add alicias money to that and it makes 7.6

Answer:

$7.60

Step-by-step explanation:

If you multiply 19.0 by 4 then you get $7.60

Solve: (6 • 6 + (-3)) ÷ 11
please

Answers

Answer:

The correct answer is 3.

Step-by-step explanation:

I'm assuming you need this now so I won't explain it.

Hope this helps:) Goodluck!

pls give the steps as well ​

Answers

Answer:

-6.4

Step-by-step explanation:

√2(√3×2 - √1×8) = -6.41472901342

Round to the nearest tenth = -6.4

Please help with this maze

Answers

Answer:

go down then go right

Step-by-step explanation:

Please help thanks!!!!!!

Answers

Answer:

See below ~

Step-by-step explanation:

Subpart (e) :

⇒ New volume = 2 x 3 x 2 x 4 x 2 x 5

⇒ New volume = 8 x 60

⇒ New volume = 480 in³

=============================================================

Subpart (f) :

⇒ New volume : Original volume

⇒ 480 : 60

1 : 8

=============================================================

Subpart (g) :

Step 1

⇒ SA = 2(6 × 9 + 9 × 11 + 6 × 11)

⇒ SA = 2(54 + 99 + 66)

⇒ SA = 2(219)

⇒ SA = 438 in²

Step 2

⇒ V = 6 × 9 × 11

⇒ V = 54 × 11

⇒ V = 594 in³

Step 3

⇒ New SA = 2 x 438

⇒ New SA = 876 in²

Step 4

⇒ New : Original

⇒ 876 : 438

2 : 1

Step 5

⇒ New V = 2³ x 594

⇒ New V = 8 × 594

⇒ New V = 4752 in³

Step 6

⇒ New : Original

⇒ 4752 : 594

8 : 1

QUICK PLSSS im bout to be grounded

Answers

Answer:

35

Step-by-step explanation:

if 110% of a number is 528, then the number is:
a) 475.2
b) 52.8
c) 480
d) 580.8
e) 475

Answers

Answer:

c) 480

Step-by-step explanation:

Any percentage can be converted to a number ratio by dividing by 100%.

E.g. 100%/100% = 1

Following this concept, we can find the equivalent of 110% :

110%/100% = 1.1

Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1

528/1.1 = 480

Hope this helped!

Solve the equation -15=8z+7.
z=

Answers

z=-11/4. Hope that helped.

Answer:Hello the  Answer to your math problem  is attached

Step-by-step explanation:

Identify the equations of ellipses whose major axis lengths are twice their minor axis lengths.

Answers

The equations of ellipses whose major axis lengths are twice their minor axis lengths are

(x - h)²/4b² + (y - k)²/b² = 1 and (x - h)²/b² + (y - k)²/4b² = 1

To answer the question, we need to know what an ellipse is.

What is an ellipse?

An ellipse is part of a conic section.

The equation of the ellipse

The equation of an ellipse centered at (h,k) with major axis on the x-axis and major axis length, 2a and minor axis length 2b is

(x - h)²/a² + (y - k)²/b = 1

The equation of ellipse with major axis x-axis

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the x-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/a² + (y - k)²/b² = 1

(x - h)²/(2b)² + (y - k)²/b² = 1

(x - h)²/4b² + (y - k)²/b² = 1

The equation of ellipse with major axis y-axis

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the y-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/b² + (y - k)²/a² = 1

(x - h)²/b² + (y - k)²/(2b)² = 1

(x - h)²/b² + (y - k)²/4b² = 1

So, the equations of ellipses whose major axis lengths are twice their minor axis lengths are

(x - h)²/4b² + (y - k)²/b² = 1 and (x - h)²/b² + (y - k)²/4b² = 1

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if [tex]\frac{1}{x} +\frac{2}{3x} =4[/tex], what is the value of x

Answers

Answer:

[tex] \frac{5}{12} [/tex]

Hope it helps............

Is the point (2,-11) on the circle with radius 5 and center (2,13)?

Answers

Answer:

No

Step-by-step explanation:

Identify the equation for the circle

[tex](x-h)^2+(y-k)^2=r^2\\(x-2)^2+(y-13)^2=5^2\\(x-2)^2+(y-13)^2=25[/tex]

Check if (2,-11) is a point on the circle

[tex](x-2)^2+(y-13)^2=25\\(2-2)^2+(-11-13)^2=25\\0^2+(-24)^2=25\\576\neq25[/tex]

Since both sides of the equation are not equal to each other, then (2,-11) is not a point on the circle.


HELP ME PLEASEEEEE

Answers

Answer:

x = 4

Step-by-step explanation:

x(x + 8) = 48

x² + 8x = 48

x² + 8x - 48 = 0

times into -48

add into 8

(x - 4)(x + 12) = 0

x - 4 = 0

x = 4

or

x + 12 = 0

x = -12

A length cannot be a negative number therefore x = 4

The marked price of a fan is Rs. 1800. If a shopkeeper allows a discount of 10% and still makes a profit of 20%, at what price had the shopkeeper bought the fan?​

Answers

The shopkeeper had brought the fan at Rs.1350

Question 1 GIVING BRAINLIESTT!!!!!!!!

Answers

Answer is (-1.5,5)
Midpoint formula is M= ((X1+X2)/2), ((Y1+Y2)/2)
So it becomes ((-4+1)/2), ((9+1)/2)= (-1.5,5)

PPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLEASE Help

Answers

Answer:

4cm

Step-by-step explanation:

sin(30) = 2/x (using trigonometry)

rearrange for x to give x = 2/sin(30)

then x = 4cm (using calculator)

SIMILARLY:

You can use 2/cos(60) to also give 4cm

Radius & Diameter
Easy: 51
A. Choose the correct choice.
1) A circle has a circumference of 1211 yd. What is the diameter of the circle?
a) 12 yd
b) 6 yd
c) 18 yd
2) A wire of length 281 in is bent to form a circle. What is the radius of the circle?
a) 28 in
b) 19 in
C) 14 in
3) A circular park has a circumference of 361 yd. Find its diameter.
a) 18 ya
b) 36 yd
c) 12 ya
4) The tip of the minute-hand travels 2211 in in one hour. Find the length of the minute-hand.
a) 11 in
b) 10 in
c) 22 in
5) The circumference of a bicycle wheel is 6n in. Find the diameter of the wheel.
a) 12 in
b) 6 in
c) 3 in
B. Find the radius and diameter in each question.
S.No
Circumference
Radius
Diameter
6.
10л ft
7.
24n in
8.
341 ya
9.
407 in
10.
167 ft

Answers

Answer:

a,c,b,a,b

Step-by-step explanation:

6.

7.

8.

9.

10.

Circumference

10π ft

24π in

34π yd

40π in

16π ft

Radius

5 ft

12 in

17 yd

20 in

8 ft

Diameter

10 ft

24 in

34 yd

40 in

16 ft

Enter the solution (x, y) to the system of equations shown.

Answers

Answer:

(2, 5 )

Step-by-step explanation:

y = 2x + 1 → (1)

3y = 4x + 7  → (2)

substitute y = 2x + 1 into (2)

3(2x + 1) = 4x + 7 ← distribute parenthesis on left side

6x + 3 = 4x + 7 ( subtract 4x from both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1) for corresponding value of y

y = 2(2) + 1 = 4 + 1 = 5

solution is (2, 5 )

Are there real-world examples of both two- and three-dimensional figures?
if so what are they?

Answers

Answer:

yes

Step-by-step explanation:

because a shadow cab be expressed by a two dimension

How many edges does this shape have?

Answers

Answer:

8 Edges.

Imagine a cardboard box. The top has four edges and the bottom of it has another four.

Answer:

8

Step-by-step explanation:

count top edges then multiply by 2

For the quadratic equation 3x^2-18x-21=0, x1 and x2 are the roots. Find:

x1^2+x2^2
|x1-x2|

Answers

(x_1+x_2)=-b/a=18/3=6

x_1x_2=c/a=-21/3=-7

So

(x_1+x_2)²-2x_1x_2=x_1^2+x2²x1²+x2²=(6)²-2(-7)=36+14=50

(x_1-x_2)²

x1²+x2²-2x_1x250+1464

x_1-x_2=8

Answer:

[tex]x{_1}^2+x{_2}^2=50[/tex]

[tex]|x_1-x_2|=8[/tex]

Step-by-step explanation:

Given equation:

[tex]3x^2-18x-21=0[/tex]

Factor to find the roots:

[tex]\implies 3(x^2-6x-7)=0[/tex]

[tex]\implies x^2-6x-7=0[/tex]

[tex]\implies x^2+x-7x-7=0[/tex]

[tex]\implies x(x+1)-7(x+1)=0[/tex]

[tex]\implies (x-7)(x+1)=0[/tex]

Therefore:

[tex]\implies (x-7)=0 \implies x=7[/tex]

[tex]\implies (x+1)=0 \implies x=-1[/tex]

Therefore, the roots of the quadratic equation are:

[tex]x = 7,\quad x = -1[/tex]

Let  [tex]x_1 = 7[/tex]

Let  [tex]x_2 = -1[/tex]

[tex]\implies x{_1}^2+x{_2}^2=7^2+(-1)^2=50[/tex]

[tex]\implies |x_1-x_2|=|7-(-1)|=8[/tex]

i need help on this please​

Answers

Answer: 9420 in^3

Step-by-Step Explanation:

h = 30 in
r = 10 in

Volume = π * r^2 * h

Therefore,

= π * r^2 * h
= 3.14 * 10^2 * 30
= 3.14 * 10 * 10 * 30
= 314 * 30
= 9420 in^3

Therefore, V = 9420 in^3

=> The figure will be the same when rounded off to tenth.
volume of a cylinder = π r² h

r = 10
h = 30

v = π(10 ²)(30)

v = 9425

express 5x - 2y - 12 = 0 in y=mx + b form and state the slope and y-intercept

Answers

Answer:

Step-by-step explanation:

5x-2y-12=0

5x-2y+12-12=0+12

5x-2y=12

5x-5x-2y=12-5x

-2y=12-5x

(-2y)/-2=(12-5x)/-2

y=5/2x-6

slope= 5/2x up 5 over 2

y-intercept is -6


Determine the following probabilites based on a standard deck of cards

1) Pblack or heart)=
2) Pired or 10) =
3) P(Q or 6) =
4) P(5 or club) =
5) P(picture card or 4) =
6) P(black 9 or red) =

There are 52 cards total.
Hearts and diamonds are red.
Clubs and spades are black
LQ and K are called picture cards.

Answers

Answer & Step-by-step explanations:

I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.


P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.

26 + 13 out of 52 cards.

39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down

39/52 has a common factor of 13, divide both numbers by 13

P(Black or heart) = 3/4


P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.

26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%

P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down

28/52 has a common factor of 4, divide both numbers by 4

P(Red or 10) = 7/13

Which of the following can be the third side of a triangle whose other two sides measure 8 inches and 10 inches

A) 17inches
B) 18inches
C) 19 inches
D) 20 inches

Answers

It has to be A. Hope that helps.

What is the value of log4 superscript 16?
1
2
4
8​

answer ASAP

Answers

The value of log4 superscript 16 is 2

How many days were less than 84°?

Answers

Answer:

it has to be 7 days because the other degrees are higher than 84.

Step-by-step explanation:

80 - 82 = 7 days

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