In the diagram below of circle 0, diameter AB is
parallel to chord CD.
A. 110°
B. 70°
C. 55°
D. 35°
If mCD= 70, what is mAC?

9514 1404 393

Answer:

Step-by-step explanation:

The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(12 +7)(12) = 114 . . . square units area

__

The length of side AB can be found using the distance formula:

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13

The sum of the side lengths is then ...

  13 +7 +12 +12 = 44 . . . units perimeter

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 significant figures )

Answer: x= 4 (simplify the terms)

Answer:

[tex] \fbox{x = 4} [/tex]

Step-by-step explanation:

Simplify the expressions in the equation by applying the properties of equality.

1) [tex] 5x-5=7+2x [/tex]

2)

Answer:

225.24099

Step-by-step explanation:

249.99(0.15) = 37.4985

249.99 - 37.4985 = 212.4915

212.4915(0.06) = 12.74949

212.4915 + 12.74949 = 225.24099

Answer:

A is 85 degrees

Answer:

25 acres

Step-by-step explanation:

25 acres  hope this helps

Answer:

Step-by-step explanation:

lets solve the inequality by adding like terms

-2x-5>0 ?

-2x>5

x>-5/2

Answer:

where are the graphs

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

if you pick any two points on the line, you count how many units up and how many units across. you also have to put your answer in simplest form. the slope is a negative slope since its going downwards from left to right. your answer is -1/2

Answer: B.having $450.22 in your checking account and writing a check for $462.05.

Step-by-step explanation: took the quiz.

Answer:

13 divided by 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

−6x+6−7=2x+8

-1-8=2x+6x

8x=-9

x= -[tex]\frac{9}{8}[/tex]

Answer B stands For Base and h stands for Height

Answer: P = 79 feet

Step-by-step explanation:

V = (l)(w)(h)

171,114 = (57)(38)(p)

171,114 = 2,166p —> multiply

79 = p —> divide both sides by 2,166

Answer:

Yes, Suri and Juan can make the same amount of wages by working the same number of hours in one week.

Step-by-step explanation:

The equation to figure out how many hours they will have to work is:

15x+25=14x+50

x=25

Now that we know that they have to work 25 hours, we substitute that in for x and that equals $400.

Answer:

272

Step-by-step explanation:

do 238 divided 7 you get 34 then you multiply it by 8

Given :

Writing lan's car can go 238miles on 7 gallons of gas.

During a drive last weekend, lan used

8 gallons of gas.

To find :-

How far did he drive?

Solution :-

According to Question ,

Car can go 238 mi on 7 gallons of gas.

Using Unitary Method ,

On 1 gallon of gas it will go 238/7 mi

On 8 , it will go 238/7*8= 272miles

Hence the required answer is 272 miles.

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

                                            = 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

Answer:

yes and u will have and u will have 0.28 left over

Step-by-step explanation:

25/7=0.28

Answer:

Step-by-step explanation:

You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.

x - a = -2by^2

Divide by -1 on both sides

-x + a = 2by^2

Divide by 2b on both sides

(-x + a)/2b = y^2

Take the square root of both sides

[tex]\sqrt{(-x+a)/2b}=y[/tex]

Answer:

3/5

Step-by-step explanation:

SOHCAHTOA

Cos- adjacent/hypotenuse

adjacent side: 3

hypotenuse: 5

adj/hyp: 3/5

Answer:

327

Step-by-step explanation:

[tex]\frac{(3+9)8}{2} (2)+9(11)+8(11)+3(11)+10(11)=96+88+33+110\\ = 327[/tex]

Answer:

60

Step-by-step explanation:

So we have all four side lengths: 8, 3, 10, and 9. Since there's one diagonal side, the best way to solve this is to split the shape in two. So the area of the first shape would be 24 because 8 x 3 is 24. The other one would be different. The side length is 8, so we multiply 9 by 8 and get 72. But since it's a triangle, we have to divide that by 2. Then we get 36. If you add 36 and 24, you get 60. That would be your area.

Answer: imma say A

Step-by-step explanation: sorry if wrong

Answer:

A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle XYZ, we can find XZ using cosine rule:

[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

∠X + 52 + 85 = 180

∠X + 137 = 180

∠X = 43°

∠X = 3w - 35

3w - 35 = 43

3w = 78

w = 26

In triangle RST, using sine rule:

∠R = w + 17

∠R = 26 + 17

∠R = 43°

∠R + ∠S + ∠T = 180° (sum of angles in a triangle)

43 + 52 + ∠T = 180

∠T + 95 = 180

∠T = 85°

Answer:

3*sqrt3=sqrt3=3by the power of 1/2

Answer:

x = 5

Step-by-step explanation:

A perpendicular line that passes through the point (5, 0) is a vertical line in which all points have 5 as their x-coordinate.

The slope is undefined since the slope of all vertical lines is undefines.

Answer: x = 5

Answer:

equation:  y = 5

slope is zero

Step-by-step explanation:

Answer:

92.5

Step-by-step explanation:

18.5

[tex] \frac{18.5}{100} \times 500 \\ \\ [/tex]

100 times 5 is 500

so 100 is cancelled and 500 becomes 5

therefore 18.5 times 5 is equal to 92.5

Answer:

92 1/2   or   92.5

Step-by-step explanation:

how to solve?

Put it into a percent proportion :D!

Percent proportion is is/of=%/100 or a/w=p/100

The a stands for "part"

and the w stands for "whole"

p stands for "percent"

Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.

Since they did NOT give you what the "is" is, you put the variable "a"

a/   =

Next,

Since it said "of"

You put of underneath the unknown number "is" (a)

a/500=

Now put in the percent

a/500=18.5/100

Now cross multiply!

Then you should get 92.5!

HOPE THIS HELPS :DDD

Answer:

I believe the answer is -9.2

Step-by-step explanation: