Mathematics High School

Concept 9.3: Find the value of x in the circle.

Answers

Answer 1

Answer:

x=4.5

Step-by-step explanation:

MAB=MBC

AB=BC

3x+2=5x-7

7+2=5x-3x

9=2x

x=9/2

x=4.5

hope it helps..

have a great day!!

Answer 2

Answer:

x = 4.5

Step-by-step explanation:

here's your solution

=> AB = BC. ( both arc are equal )

=> 3x + 2 = 5x - 7

=> 3x - 5x = - 7 - 2

=> - 2x = - 9

=> x = 9/2

=> x = 4.5

hope it helps

Related Questions

Given that x^6 = 64, which of the following could be the value of 9x^2 + 3x ?

Answers

Answer:

42,-42

Step-by-step explanation:

We first solve for x from x^6 = 64, by taking the root of both sides, and we get x = 2,-2

We then plug in both of the x values and get 42,-42

PS: That should be the right answer but you didn't include the possible answers, and I somehow also got 30 when plugging in -2, but just try it yourself to be safe.

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 19)(0,19) and (3, 9728)(3,9728).

Answers

Answer:

y = 19*(8)^x

Step-by-step explanation:

We want to write an equation like:

y = a*b^x

That goes through the points (0, 19) and (3, 9728)

Then, when x = 0, we must have y = 19

Replacing those values in the equation we get:

19 = a*b^0 = a*1 = a

19 = a

Then the equation is:

y = 19*b^x

We also know that when x = 3, y = 9728

If we replace these values in the equation, we get:

9728 = 19*(b)^3

Let's solve this for b.

9728/19 = b^3

512 = b^3

∛512 = b = 8

Then the equation is:

y = 19*(8)^x

HELP please will give brainiest!! No robots please,
Find the slope and the y-intercept of the graph of the linear equation.

Answers

Answer:

Slope is -4/5

Y-intercept is -2

Step-by-step explanation:

use equation y=mx+b

Which are equivalent expressions?
Check all that are true.

2a · 2b = 2ab

6a = 6 · a

5a = 5 + a

3ab = 3c

2a · b = 2ab

Answers

Answer:

6a=6.a I think is true cause it's like the same thing

Write the exact value of the side length of a square whose are in square units are given. For example, use sqrt(9) to represent the square root of 9. Areas: 36 37 100/9 2/5 0.0001 0.11

Answers

Answer:

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

Step-by-step explanation:

To find - Write the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

Proof -

We know that ,

If a is the side length of the square then,

Area of square = a²

Now,

a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get

Side length of the square is 6 units.

b.) 37

⇒a² = 37

⇒a² = [sqrt(37)]²

⇒a = sqrt(37)

∴ we get

Side length of the square is sqrt(37) units.

c.)100/9

⇒a² = 100/9

⇒a² = [10/3]²

⇒a = 10/3

∴ we get

Side length of the square is 10/3 units.

d.)2/5

⇒a² = 2/5

⇒a² = [sqrt(2/5)]²

⇒a = sqrt(2/5)

∴ we get

Side length of the square is sqrt(2/5) units.

e.)0.0001

⇒a² = 0.0001

⇒a² = [0.01]²

⇒a = 0.01

∴ we get

Side length of the square is 0.01 units.

f.)0.11

⇒a² = 0.11

⇒a² = [sqrt(11)/10]²

⇒a = sqrt(11)/10

∴ we get

Side length of the square is sqrt(11)/10 units.

We get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

We have to find the exact value of the side length of a square whose are in square units are given

a) 36

b) 37

c) 100/9

d) 2/5

e) 0.0001

f) 0.11

We have given that,sqrt(9) to represent the square root of 9.

We know that ,

If a is the side length of the square then,

what area of the square?

Area of square = a²

For option a) 36

⇒a² = 36

⇒a² = (6)²

⇒a = 6

∴ we get side length of the square is 6 units.

For the option b is 37.

⇒a² = 37

⇒[tex]a^2 = \sqrt{37} ^2[/tex]

⇒[tex]a = sqrt(37)[/tex]

∴ we get side length of the square is [tex]\sqrt(37)[/tex] units.

c.)100/9

⇒[tex]a^2 = 100/9[/tex]

⇒[tex]a^2= [10/3]^2[/tex]

⇒[tex]a = 10/3[/tex]

∴ we get side length of the square is 10/3 units.

for the option d.)2/5

[tex]a^2= 2/5[/tex]

[tex]a^2 = [\sqrt(2/5)]^2[/tex]

⇒[tex]a = \sqrt(2/5)[/tex]

∴ we get side length of the square is [tex]\sqrt(2/5)[/tex]units.

for the option e.)0.0001

[tex]a^2 = 0.0001[/tex]

[tex]a^2 = [0.01]^2[/tex]

[tex]a = 0.01[/tex]

∴ we get side length of the square is 0.01 units.

For option f.)0.11

⇒[tex]a^2 = 0.11[/tex]

⇒[tex]a^2= [\sqrt(11)/10]^2[/tex]

[tex]a = \sqrt(11)/10[/tex]

∴ we get side length of the square is[tex]\sqrt(11)/10[/tex] units.

Therefore we get,we get the value of the,

a.) Side length of the square is 6 units.

b.) Side length of the square is sqrt(37) units.

c.) Side length of the square is 10/3 units.

d.) Side length of the square is sqrt(2/5) units.

e.) Side length of the square is 0.01 units.

f.) Side length of the square is sqrt(11)/10 units.

To learn more about the area visit:

https://brainly.com/question/25292087

1/3 x4 need help asap

Answers

Answer:

4/3 or 1 1/3

Answer:

2 and -2

Step-by-step explanation:

Monica’s retirement party cost two dollars, plus an additional three dollars for every guess she invites. If there are 16 guests, how much will monica’s retirement party cost

Answers

65 degrees. It’s on a straight line (180 degrees) so you just subtract.

Find the Area of a Trapezoid.
Base 1 :2
Base 2 : 3
Height :2

Answer:

113.44

Step-by-step explanation:

It can emulate the BIOS and many games at very slow speeds but is sometimes faster than Cxbx with acceptable graphics

Help please no links please

Answers

Answer:

10ft × 7ft = 70sq ft

Step-by-step explanation:

The width of the Bed is = The width of the study corner = 10ft

What is the measure of LXZW?
850
150°
Y
65°
95
Z
215°
W
30°

Answers

Answer:

so the answer is 95°

Step-by-step explanation:

The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.

A high-speed train travels at a speed of 200km/h. If the train sets off from Station A at 12 24 and reaches station B at 14 12, find the distance between the two stations.

Answers

Given:

Speed to train = 200km/h

The train sets off from Station A at 12:24.

Reaches station B at 14:12.

To find:

The distance between both stations.

Solution:

We have,

Speed to train = 200km/h

Time taken by the train to cover the distance between station A and station B is the difference between 14:12 and 12:24.

Time = 1 hr 48 min

Time = 1.8 hours [ 1 hr = 60 minutes]

Let d be the distance between both stations.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]200=\dfrac{d}{1.8}[/tex]

[tex]200\times 1.8=d[/tex]

[tex]360=d[/tex]

Therefore, the distance between the two stations is 360 km.

The perimeter of a rectangle is the same as the
perimeter of a square. If the area of this rectangle
is x^2 + 4x – 21 and the side lengths are integers,
find:
a. the perimeter of the rectangle
b. the area of the square

Answers

Answer:

a. 20

b. 25

Step-by-step explanation:

Let find the side lengths of the rectangle,

We can complete the square.

[tex] {x}^{2} + 4x - 21[/tex]

[tex] {x}^{2} + 4x = 21[/tex]

[tex] {x}^{2} + 4x + 4 = 25[/tex]

[tex](x + 2) {}^{2} = 25[/tex]

[tex](x + 2) = 5[/tex]

[tex]x = - 7[/tex]

[tex](x + 7)[/tex]

[tex]x = 3[/tex]

[tex](x - 3)[/tex]

This means the perimeter of is

2 times -7 equal 14

2 times 3 equal 6

14+6=20.

The side lengths of the square is equal so each side length will measure 5.

[tex] {5}^{2} = 25[/tex]

E. a distance of 5 multiply 10^5 cm in 2 multiply 10^-5 seconds

Answers

Answer:

The speed is 900,000,000 km/h

Step-by-step explanation:

The ratio of distance covered to time taken gives the speed of an object

[tex]Speed, \ v = \dfrac{Distance, \ d}{Time, \ t}[/tex]

Given that the distance covered, d = 5 × 10⁵ cm

The time to travel the given distance, t = 2 × 10⁻⁵ seconds

Therefore;

[tex]Speed, \ v = \dfrac{5 \times 10^{5} \ cm}{2 \times 10^{-5} \ s} = 2.5 \times 10 ^{10} \ cm/s[/tex]

In km/h, we have;

1 cm = 0.00001 km

∴ v = 2.5 × 10¹⁰ cm/s × 1 km/(100,000 cm) × 3,600 s/h = 900,000,000 km/h

The speed is 2.5 × 10¹⁰ cm/s or 900,000,000 km/h.

45 POINTS!! PLEASE HELP

The scatter plot shows the relationship between the test scores of a group of students and the number of hours they study in a week.

Part A: What is the group of points labeled N called? What is the point labeled M called? Give a possible reason for the presence of point M.

Part B: Describe the association between students’ test scores and the number of hours they study.

Answers

Answer:

Step-by-step explanation:

m is called an outlier and it is a positive association

Answer:

Part A) Part N.) is called the cluster of the whole chart. Part M.) is called the outlier because it's not with the rest of the group, therefore, it's the outlier of the group.

Part B.)

The association between the students' test scores and the number of hours they've studied is a positive correlation. That means the longer the students spent time studying for their tests... the better grades they got because of it. It's a lot like a cause-and-effect kind of situation.

Step-by-step explanation:

I hope this helps you!!! Brianlyest please!!! And SO sorry this is so late!

Neeed help please???????!!!!!!

Answers

Arc HKJ for one but I do known abt 2

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