Mathematics High School

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.

Quadrilateral ABCD Is Inscribed In A Circle. Find The Measure Of Each Of The Angles Of The Quadrilateral.

Answers

Answer 1

Answer:

A= 94°, B = 102°, C = 86°, D = 78°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

It has the property that opposite angles are supplementary: A with C and B with D.

Solve following for x:

x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°

The angles are:

A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°

Related Questions

pls help me with #3 I don’t understand

Answers

Answer:

h ≈ 235

Step-by-step explanation:

We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.

Refer to the image below of what the problem should look like.

Refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:

sine = opposite side/hypotenuse

sin(57) = h/280

sin(57) / 1 = h / 280

Cross multiply:

sin(57) (280) = 1 (h)

Input to calculator:

h = 234.827759...

h ≈ 235

In the first quadrant, you start at (3,5)
and move 3 units right and 2 units down
What point will you end up on?

Answers

Answer:

(6,3)

Step-by-step explanation:

3 right is an + to the left side or x of the pairs and the 2 down is a - 2 to the right side or y of the pair

Answer:

Check pdf

Step-by-step explanation:

Simplify. Write your answer in standard form.


(4x^3+6x−7)+(3x^3−5x^2−5x+9)

Answers

answer: 7x^ - 5x^2 + x + 2

step-by-step explanation: i think thats it

Multiply (5x - 2)^2
​

Answers

Answer: that would b 25x^2-20x+4!

Step-by-step explanation:

Answer:

25x^2-20x+4

Step-by-step explanation:

1-x⁴
is it polynomial?​

Answers

yes 1-x^4 is a polynomial

This is a similar triangle please find the missing length. (?)

Answers

44/99=52/x
44x=5148
X=117
Hope this helps!

WORTH 100 POINTS NEED DONE ASAP WRONG ANSWERS WILL BE REPORTED THANK YOUUU

Answers

Answer:

3.

1.x=√(15²-12²)=√81=9

2.x=√(6²+6²)=6√2

3.c=√(√19²-√7²)=√(19-7)=√12

Step-by-step explanation:

4.h=10

a=b=x

we have

by using Pythagoras law

h²=x²+x²

100=2x²

x²=50

x=√50=5√2

both legs =5√2

Can someone pls help im new to this

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{-10}{-2} \\\\5[/tex]

3x + 0 = 3x

Need help

Answers

I don’t know how to answer needs to be but I think it’s 3X equals 3X

Answer:

x is equal to all real numbers.

Step-by-step explanation:

3x = 3x

No matter what number you substitute for x, 3x will always equal 3x.

HELP DUE IN 7 MINUTES ​

Answers

Answer:

1. 0,5

2. Move 5 units east

3. You need to plot checkpoint B on a graph, then you need to follow the instructions then you end up on 0,5. Which Ultimately is checkpoint C.

Hope this Helps!

A boy has 11 coins in dimes and quarters. Their value is $170. How many of each does he have? (Hint: Let x be the number of quarters and 11 - x be the number of dimes.)​

Answers

Answer:

x - number of dimes, y - number of quarters

x + y = 11

0.10 x + 0.25 y = 1.70

0.10 x + 0.25 ( 11 - x ) = 1.70

We can solve it:

0.10 x + 2.75 x - 0.25 x  = 1.70

0.15 x = 1.05

x = 1.05 : 0.15        

x = 7  ( a boy has 7 dimes and 4 quarters )

Answer: D ) 0.10 x + 0.25 ( 11 - x ) = 1.70

Step-by-step explanation:

WILL GIVE BRAINLIEST!
A custom-illustrated sign or banner can be commissioned for a cost of $20 for the material and $12.50 per square foot for the artwork. The equation that represents this cost is given by y = 12.50x + 20, where y is the cost and x is the number of square feet in the sign.

Graph this equation for values of x from 0 to 20.
The point (5, 82.5) is on the graph. Select a sentence that describes the meaning of this ordered pair.
A. It costs $5 for a custom sign 82.5 ft2 in area.
B. It costs $12.50 for a custom sign 20 ft2 in area.
C. It costs $20 for a custom sign 12.50 ft2 in area.
D. It costs $82.50 for a custom sign 5 ft2 in area.
E. It costs $270 for a custom sign 20 ft2 in area.

Answers

Answer:

D

Step-by-step explanation:

12.50 x 5 = 62.5

62.5 + 20 = 82.5

Are the figures congruent? Explain.

Answers

I’m on the same question

HELP I HAVE 5 MINS :(

Answers

Answer:

y intercept is (0,-5)

Step-by-step explanation:

Is at x = 0

Intercepts the y axis

simplify
please help me!!!!

Answers

Decimal form: 5.656854249
Exact form: 4√2

Richard is frustrated. He knows the line to the right should have a 3 and a 4 in the equation but he can't remember if it is y = 4x + 3 or y = 3x + 4. a. Which equation is correct? How do you know?

Answers

Answer:

The correct equation is "y=4x+3"

Step-by-step explanation:

Given equation:

[tex]y= 4x+3 \ \ or \ \ y=3x+4[/tex]

As per the given line formula:

[tex]\to y=mx+c[/tex]

The slope(m) of the line is [tex]\frac{4}{1} = 4[/tex]  and y-intercept at 3, that is the point (c). So, the correct equation of the line:   [tex]y = 4x + 3[/tex]

(-8,-2);m=3/4 in point slope form

Answers

Answer:

         y + 2 = ³/₄(x + 8)

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs in simplest form.

Answers

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

[tex]AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}[/tex]

[tex]AB \approx 7.616[/tex]

BC

[tex]BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}[/tex]

[tex]BC \approx 6.325[/tex]

AC

[tex]AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}[/tex]

[tex]AC \approx 5.831[/tex]

Now we determine the area of the triangle by Heron's formula:

[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)

[tex]s = \frac{AB+BC + AC}{2}[/tex] (2)

Where:

[tex]A[/tex] - Area of the triangle.

[tex]s[/tex] - Semiparameter.

If we know that [tex]AB \approx 7.616[/tex], [tex]BC \approx 6.325[/tex] and [tex]AC \approx 5.831[/tex], then the area of the triangle is:

[tex]s \approx 9.886[/tex]

[tex]A = 18[/tex]

The area of the triangle is 18 square units.

Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week.

Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help.​

Answers

Answer: Ed should bike at least more than 16 miles

Step-by-step explanation:

11 + 4b > 75

4b > 64

b > 16

Ed should bike 16 miles

Find the volume of the cylinder.
Either enter an exact answer in terms of " or use 3.14 for T.
2
units3

Answers

Answer:

56.52

Step-by-step explanation:

pi×r²h

=3.14×3²2

=3.14×9×2

=3.14×18

= 56.52³

Solve the following equation.
PLEASE HELP ASAP NO ROCKY THE EQUATION IS ON THE PICTURE !!!

Answers

Answer shekels X= -2,-3,3



−(x − 7)+ 5/3 = 2(x + 9)

Answers

The number I believe you are looking for would be an exact form of -28/9
Or a decimal form would be -3.1 repeating

the length of one side of the base of a square pyramid is 15 cm. the height of each face is 40 cm. what is the surface area of the pyramid?

Answers

Answer:

B. 1,425 square centimeters

Step-by-step explanation:

Area of the square pyramid = b² + 2bs

Where,

b = length of square base = 15 cm

s = slant height of each face = 40 cm

Surface area of the pyramid = 15² + 2(15)(40)

= 225 + 1,200

Surface area = 1,425 cm²

Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie

Answers

Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

Write the numerical expression that represents the following: 6 times the sum of 12 and 8

Answers

Answer:

12+8*6

Step-by-step explanation:

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

x = 7

Step-by-step explanation:

15-8=7

Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *

Answers

Answer:

40.00-30.98=x

1.Which answer below represents the
line 5y= 15x+ 10 in the form "y= mx +
c" .

1. 5y= 3x + 2
2.y= 3x + 2
3.y= 5x + 2
O4.y= 3x + 5​

Answers

I think B because you would have to divide by 5 to get y by itself.

1/3x1/6 7 more and I’m done

Answers

Answer: 1/18

Step-by-step explanation:

Multiply both Numerators

1x1=1

Multiply both Denominators

3x6=18

1/18

Testimated the ceiling was 10 ft tall.
The acutal height of the ceiling was
12 ft tall. What is my percent of error?

Answers

20% is your percent m of error in this problem
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