In the diagram shown, C is the midpoint of BD. What is the
length of AC?
Set up an equation based on the given information, solve
for x, and plug answer back in to answer the question

In The Diagram Shown, C Is The Midpoint Of BD. What Is Thelength Of AC?Set Up An Equation Based On The

Answers

Answer 1

Answer:

AC = 20

Step-by-step explanation:

C is the midpoint of BD.

That means that BC = CD

BC = x + 4

CD = 3x - 10

x + 4 = 3x - 10                       Subtract x from both sides

4 = 3x - x - 10                       Combine

4 = 2x - 10                            Add 10 to both sides

4 + 10 = 2x - 10 + 10            Combine

14 = 2x                                 Divide by 2

14/2 = 2x/2                          Combine

7 = x

AC = AB + BC

AC = 2x - 5 + x + 4

AC = 3x - 1

AC = 3*7 - 1

AC = 21 - 1

AC = 20


Related Questions

Which one ? Please help.

Answers

Answer:

B C D  are correct.

Step-by-step explanation:

a+b-c=r/t

So,

a=(t/r)-b+c therefore wrong

b=(r/t)-a+c therefore correct

c= (-r/t)+a+b therefore correct

d=t(a+b-c)

Find the value of the factorial.
13!

Answers

the value of factorial 13 is 6,227,020,800

What is the common difference for the arithmetic sequence?
-5, -1, 3, 7, ...
A. 6
B. -4
C. -6
D. 4

Answers

Answer:

d. 4

Step-by-step explanation:

the numbers in the sequence keep increasing by a unit of 4.

-5 + 4 = -1

-1 +4 = 3

3 + 4 = 7

Answer:

B -4

Step-by-step explanation:

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

A is the correct answer.

Answer:

A. I believe

Step-by-step explanation:

A new movie theater holds 350 people with 14 seats in every row. Use division to find how many rows are there in the theater.

Answers

Answer:

25 rows

Step-by-step explanation:

Because if you divide 350 by 14 it gives you 25

Answer:

25

Step-by-step explanation:

350÷ 14 = 25.........

Find the slope of the line through each pair of points
(10, -14), (11,11)

Answers

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

y2=11

y1=-14

x2=11

x1=10

[tex]\frac{11-(-14)}{11-10}[/tex]

[tex]\frac{11+14}{1}[/tex]

25

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Given a²+b²=49 and a+b=9, then ab=?​

Answers

Answer:

16

Step-by-step explanation:

Given,

a²+b²=49

a+b=9

Now,

a²+b²=49

(a+b)^2-2ab=49

9^2-2ab=49

81-49=2ab

32/2=ab

ab=16

who ruled china in 150 bce

Answers

The Qing I am 98% sure this is right

Answer:

Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.

Step-by-step explanation:

The figure shows a utility pole with an electrical line and a telephone line.
The angled wire is a tension wire.

Complete the table: for each angle pair given, identify the transversal and classify the angle pair. (Hint: Think of the utility pole as a line for these problems.)

Note: I’ll give you a lot of points for this

Answers

Answer:

Step-by-step explanation:

What is cos(317)? explain how I would get that solution without using a calculator please. Correct answer gets BRAINLIEST!!

Answers

Answer:

Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV

In the fourth quadrant, the values for cos are positive only.

317 is an obtuse angle since it is greater than 90°

cos(317) = 0.73135369730756

Step-by-step explanation:

Which of the following graphs represents a function? Choose all that apply.

Answers

the one with the vertical parabola and the one with the straight line

whats 10x5/12 please help

Answers

Answer:

Step-by-step explanation:

If I need to use 4/5 of a cup of strawberries for a single pie. How many cups are needed for 2 pie?

Answers

4/5 x 2= 8/5
Which is 1 3/5 cups needed for 2 pies
You will need exactly 1 3/5 cups of strawberries

Tara has 3 over 4 cup of ice cream. How many 1 over 5-cup servings are in 3 over 4 cup of ice cream?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Tara has :

[tex] \dfrac{3}{4} \: \: cup \: \: of \: \: ice \: cream[/tex]

Each servings :

[tex] \dfrac{1}{5} [/tex]

Total number of servings is equal to :

[tex] \dfrac{3}{4} \div \dfrac{1}{5} [/tex]

[tex] \dfrac{3}{4} \times 5[/tex]

[tex] \dfrac{15}{4} [/tex]

[tex]3 \dfrac{3}{4} [/tex]

Step-by-step explanation:

Tara has ¾ cup of icecream

Each serving:

= ⅕

Total no. of servings

= ¾ ÷ ⅕

= ¾×5

= 15/4

= 3¾ or 3.75

What is the remainder when 2^81 is divided by 17? Need 3 answer with solution! ​

Answers

Answer:   2

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

Explanation:

Note that 2^4 = 16 is one less than 17.

Because of this nature of being 1 less, we can say the remainder of 16/17 is -1 because it comes up one short.

In terms of modular arithmetic, we can say,

[tex]2^4 \equiv 16 \ (\text{mod } 17)\\\\2^4 \ \equiv -1 (\text{mod } 17)\\\\[/tex]

Then let's raise both sides to the 20th power. I'm picking 20 because 20*4 = 80 which will help build toward 81

[tex]2^4 \equiv -1 \ (\text{mod } 17)\\\\\left(2^4\right)^{20} \equiv (-1)^{20} \ (\text{mod } 17)\\\\2^{20*4} \equiv 1 \ (\text{mod } 17)\\\\2^{80} \equiv 1 \ (\text{mod } 17)\\\\[/tex]

Lastly, we'll multiply both sides by 2 to get to the final answer

[tex]2^{80} \equiv 1 \ (\text{mod } 17)\\\\2*2^{80} \equiv 2*1 \ (\text{mod } 17)\\\\2^{1}*2^{80} \equiv 2 \ (\text{mod } 17)\\\\2^{1+80} \equiv 2 \ (\text{mod } 17)\\\\2^{81} \equiv 2 \ (\text{mod } 17)\\\\[/tex]

So if we were to divide 2^81 over 17, then we get some quotient and a remainder of 2

Find the volume of the composite solid. Round your answer to the nearest hundredth.​

Answers

700 cubic inches

Step-by-step explanation:

is known :

r = 5 inh = 9 in

V = πr²h

V = 3.14 · 5² · 9

V = 3.14 · 25 · 9

V = 78.5 · 9

V = 706.5 cubic inches → Round to the nearest hundredth

V ≈ 700 cubic inches

The Volume of Cylinder is 1271.7 in³.

What is volume of Cylinder?

The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.

The formula for calculating the volume of a cylinder is:

Volume = πr²h

We have, Radius= 5 in

Height= 9 inch

So, the Volume of Cylinder

= πr²h

= 3.14 x 5 x 5 x 9

= 3.14 x 5 x 81

= 3.14 x 405

= 1271.7 in³

Thus, the Volume of Cylinder is 1271.7 in³.

Learn more about Volume of Cylinder here:

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Find the length of AB to the nearest hundredth

Answers

Answer:

The required length of AB is 7.28 units.

Step-by-step explanation:

what is the midpoint between (-1, 1) and (5, -5)

Answers

The midpoint is (2,-2)

During hockey practice, Jason skates 180 yards in 20 seconds.


Based on his average speed, approximately how many yards will he skate in the next 15 seconds?whoever answers first will be marked the brainliest

Answers

The approximate yards Jason will skate in the next 15 seconds is 135 yards

Given that :

Number of yards skate in 20 seconds = 180 yards

The rate per second cannbe calculated thus :

Rate = distance / time Rate = 180 / 20 = 9 yards per second

The distance skate in 15 seconds will be:

Distance = time × rate

Distance = 15 × 9 = 135 yards

Therefore, Jason will skate 135 yards in the next 15 seconds.

Learn more :https://brainly.com/question/18904995

Please Help me!! (No Links Please) HELP!!!

Answers

Answer:D

Step-by-step explanation:

A is not Linear

B is not Linear

C is not Linear


Donald is thinking of buying a car but is looking at the annual running costs before he makes a purchase
These are his costs before adding on petrol and maintenance

Cost(£)
Tax - 110
Insurance - 360
Breakdown - 50

What fraction of these costs is his insurance?
3/4
9/13
1/7
5/6

Answers

Answer:

Step-by-step explanation:

Find the x-intercept and y-intercept of the line. 7x+5y=-15

Answers

Answer:

The x-intercept is (-2 1/7, 0).

The y-intercept is (0, -3).

Step-by-step explanation:

To find the y-intercept, substitute x with zero.

To find the x-intercept, substitute y with zero.

Finding the y-intercept by substituting x with zero:

7*0 + 5y = -15

5y = -15

y = -3

The y-intercept is (0, -3).

Finding the x-intercept by substituting y with zero:

7x + 5*0 = -15

7x = -15

x = -15/7

x = -2 1/7

The x-intercept is (-2 1/7, 0).

94. Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function B(a) = -0.33a + 19.17a-213.37. (a) What is the age of unmarried women with the highest birth rate? 29.0 years (b) What is the highest birth rate of unmarried women? (e) Evaluate and interpret B(40).

Answers

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at https://brainly.com/question/24626341

Describe the domain and range of this function

Domain:

Range:

Find the following values:

f(18)=
f(5)=
f(17)=

NO LINKS/NO ASSESSMENTS!!! ​

Answers

Answer:

According the graph we have:

Domain: set of input values [0, 26]Range: set of output values [0, 20]f(18) = 16f(5) = 2f(17) = 14

PLEASE HELP ITS MATH

Answers

Answer:

$2064

Step-by-step explanation:

take 432÷9=48×43

Please help me answer

Answers

Answer:

Step-by-step explanation:

A

0.25x+2.25x+0.25=2.5x+0.25 equals

Answers

Answer:

0

Step-by-step explanation:

combine the same variables

Answer: Infinite Solution

Step-by-step explanation: 2.5x+0.25=2.5x+0.25, since the equations are equal, any number you plug in will be the same.

I need help ASAP! Is this linear increase decrease or exponential growth decay

Answers

Option B: Exponential growth

If  for values of x values of y increases and forms a geometric sequence then it would be an exponential growth function because geometric sequence is an exponential function and since, it is increasing hence, an exponential growth.  

Option A is incorrect because y is not decreasing  

Option C and D are incorrect because geometric sequence can never be linear since, it gives common ratio.

Jaylen is picking berries. The number of blueberries he picks is 4 less than half the number of strawberries he picks. If Jaylen picks x strawberries, select the expression that represents the number of blueberries he picks.

A. 2x + 4

B. x/4 +2

C. x/2 - 4

D. x/2 +4​

Answers

The answer is:
C. x/2-4

Hope this helps!!

The expression that represents the number of blueberries he picks would be; 1/2x - 4

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that  the number of blueberries he picks is 4 less than half the number of strawberries he picks.

4 less than half the number of strawberries means;

1/2x - 4

If Jaylen picks x strawberries, then the expression that represents the number of blueberries he picks would be;

1/2x - 4

The correct option is C.

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Solve the given equation: 49 = 7^(x+1) *

Answers

Answer:

x = 1

Step-by-step explanation:

49=7^x+1

Let's take the log of both sides

(x+1)*(log(7))=log(49)

x + 1  = log (49) / log (7)

x + 1 = 2

subtract 1 from both sides

x = 1

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