If angle 1 and angle 2 are vertical angles, and the m<1 = 10x - 9 and m<2 = 4x + 15. Find the value for x.

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

Vertical angles are equal.

m∠1 = m∠2

10x - 9 = 4x + 15

Add 9 to both sides

10x = 4x + 15 + 9

10x = 4x + 24

Subtract 4x from both sides

10x -4x = 24

6x = 24

Divide both sides by 6

x = 24/6

x = 4


Related Questions

I need help with Shape equation puzzle 2 it’s due tomorrow

Answers

Hey there! I'm happy to help!

First of all, I would guide you to decipher clue 2 first. It is the only one that has just one shape, so then we can find the value of that shape.

To find what this circle is, we just divide 12 by three to see what 3 times the circle is!

12÷3=4

CIRCLE=4

-----------------------------------------------------------------

Now, let's look at clue one. This one only has two shapes, and it has the circle, which we already know.

We know that our circle is 4, so 5 circles will be 20.

This means that the diamond plus two will be 20, so let's just subtract 2 from 20!

20-2=18

DIAMOND=18

-----------------------------------------------------------------

Finally, let's look at the third one. This one is the trickiest. Two circles is eight, and that is going to be equal to our diamond (eighteen) and two triangles.

How is that going to work?

The triangles make us go backwards! Otherwise known as negative numbers!

To get from eighteen to eight, we have to go back ten. Ten is going to be made up of two triangles, so we just divide ten by two so each triangle gets an equal amount.

10÷2=5

TRIANGLE=5

-----------------------------------------------------------------

Have a wonderful day and keep on learning! :D

An equation is formed of two equal expressions. The value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the circle be represented by C, the diamond be represented by D, and the triangle be represented by T.

Now, the clues can be rewritten as,

D + 2 = 5(C)

3(C) = 12

2(C) = D + 2(T)

Since the second clue has only one variable C, let's solve it first,

3(C) = 12

C = 12 / 3

C = 4

Further, the first clue has two variables C and D, and the value of C is already known, therefore, solve it second.

D + 2 = 5(C)

D + 2 = 5(4)

D + 2 = 20

D = 20 - 2

D = 18

Furthermore, by solving the last Clue we will get,

2(C) = D + 2(T)

Substitute the known values,

2(4) = 18 + 2(T)

8 = 18 + 2T

8 - 18 = 2T

-10 = 2T

T = -5

Hence, the value of the Circle, Diamond, and the triangle is 4, 18, and -5, respectively.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Can Anyone answer the (i) and (ii) Question? I will mark you as Brainlist ☺️.​

Answers

Hope this helps ☺️

(ii) (x+y) times by 1/2
(iv) (p(times by)q) times by 1/4

Need help as soon as possible pls!!!!!

Answers

Answer:

probability

Step-by-step explanation:

do some division to calculate the probality of landing on a blue 1/3 and add up the numbers.

What is 1.83333333333 as a fraction?

Answers

Answer:

1 83/99

Step-by-step explanation:

This is how u do it

Answer:

[tex]\frac{183333333333}{100000000000}[/tex]

Step-by-step explanation:

1.83333333333 as fraction

we need to divide the fraction by the number of digits it have before decimal point to convert it to fraction

here we have 11 digits before decimal point so we need to divide it by 100000000000

so

[tex]\frac{183333333333}{100000000000}[/tex]

Please Explain Step By Step

Answers

Answer:

its hard i don't know

Step-by-step explanation:

very bad

very very bad

very much bad

bad

On the real number line, point E is at –18 and point F is at –9. What is the distance between point E and point F ?

Answers

Answer:

-9

Step-by-step explanation:

Which of the graphs model the equation y= x^2?​

Answers

Answer:

Step-by-step explanation:

The general equation for a parabola is y=4(x^2). The given eqn is y=x^2.

The equation resembles a parabola.

So clearly the answer is either B or C.

Now substitute some values. The value of y can't be negative because x^2 will always be positive.

The answer is B.

There are two different paths Kate can take to school. One path is to kilometer
long. The other path is kilometer long.
100
Compare the lengths of the paths using <, =, or >
80

Answers

Answer:

The answer is 80/100 i think

Step-by-step explanation:

Because i was taught to always go with the greater number. Hope you don't get confused and good luck!!!

Please help me with this question, and show working out.

Answers

Answer:   2072.4 square cm

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

Explanation:

If you used scissors to cut a vertical slice down the lampshade, then it can be unrolled to form a rectangle.

The horizontal portion of this rectangle is the distance around the circle, which is the perimeter of the circle, or the circumference. That's C = 2pi*r. Check out the diagram below to see what I mean.

The diagram shows that the diameter is 20 cm, so the radius is half that at 20/2 = 10 cm.

The circumference is C = 2*pi*r = 2*pi*10 = 20pi cm exactly

The height of the rectangle is the height of the cylinder, which is h = 30 as shown in the diagram.

The area of the rectangle is length*height = (20pi)*(30) = 600pi square cm exactly.

If we were to use something like pi = 3.14, then its approximate area is 600*pi = 600*3.14 = 1884 square cm

Let's bump this up by 10%. To do so, we'll multiply by 1.10

1.10*1884 = 2072.4

What numbers are 3 units from -2 on a number line?

A number line ranging from negative 10 to positive 10

Select from the drop-down menus to correctly complete the statements.

Answers

Answer:

1 is 3 units from -2 on a number line.

-5 is 3 units from -2 on a number line.

Step-by-step explanation:

a football team lost 9 yards on the first play and then gained 9 yards on the second play where did they start at

Answers

Answer:

y = x - 9 + 3 +3.

Step-by-step explanation:

.

x² - xy = 0
x + y = 1

Answers

Answer:

(0, 1 ) and ([tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

x + y = 1  → (2) ( subtract x from both sides )

y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

2x² - x = 0 ← factor out x from each term on the left side

x(2x - 1) = 0

Equate each factor to zero and solve for x

x = 0

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

x = [tex]\frac{1}{2}[/tex] : y = 1 - [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{1}{2}[/tex], [tex]\frac{1}{2}[/tex] )

a number set consists of {4,5,6,7}。How many 2-digit combinations of numbers from the data set can be divided by 3?

Answers

Answer:

5

Step-by-step explanation:

This trick works with 3:

If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.

44 is not divisble by 3 because 4+4=8 is not divisble by 3.

45 is divisble by 3 because 4+5=9 is divisble by 3.

46 is not divisble by 3 because 4+6=10 is not divisble by 3.

47 is not divisble by 3 because 4+7=11 is not divisble by 3.

54 is divisble by 3 because 5+4=9 is divisble by 3.

55 is not divisble by 3 because 5+5=10 is not divisble by 3.

56 is not divisble by 3 because 5+6=11 is not divisble by 3.

57 is divisble by 3 because 5+7=12 is divisble by 3.

64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.

Finally 7...

74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.

The victors are

45

54

57

66

75

Seth bought a 12 ounce jar of peanut butter for 3.60 what is the unit price

Answers

Answer:

12 ÷ 3.60 = 3.33¢

Step-by-step explanation:

$3.33 per ounce

6+m/2 = -3
Help me pleAseeee

Answers

Answer:

m = -18

Step-by-step explanation:

6 + m/2 = -3

Subtract 6 from each side

6 + m/2 -6 = -3-6

m/2 = -9

Multiply each side by 2

m/2 * 2 = -9*2

m = -18

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{6+ \dfrac{m}{2}=-3}}}\\\huge\boxed{\rightarrow\mathsf{6 + \dfrac{1}{2}m = -3}}[/tex]

[tex]\huge\boxed{\rightarrow \mathsf{\dfrac{1}{2}m+ 6 = -3}}\\\\\huge\boxed{\text{SUBTRACT 6 to BOTH SIDES}}\\\huge\boxed{\mathsf{\dfrac{1}{2}m + 6 - 6 = -3 + 3}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m = -9}}[/tex]

[tex]\huge\boxed{\text{MULTIPLY 2 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{2}m \times 2 = 2 \times -9}}[/tex]

[tex]\huge\boxed{\mathsf{m = 2\times-9}}\\\huge\boxed{\mathsf{2\times-9 = m}}\\\huge\boxed{\mathsf{2\times-9 = \bf -18}}\\\\\huge\boxed{\textsf{Therefore, your answer: \bf -18}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Solve for r.
-5 - 9r = -14 - 18r
Submit

Answers

Answer:-1

Step-by-step explanation:

Answer:
R= -1

Explanation:

1) Distribute if needed
2) Clear fractions if needed
3) Combine like terms if needed
4) Move variables to one side by using inverse operation
5) Isolate the variable by using add/subtraction then multiply/divide

-9r-5= -18r-14
+18r +18r
———————
9r-5 = -14
+5 +5
———————
9r= -9

9r = -9
— —
9 9
-9/9= -1

a positive integer n is called special if n is divisible by 4, N+1 is divisible by 5 and n+2 is divisible by 6. how many special integers smaller than 1000 are there?​

Answers

Answer:

17

Step-by-step explanation:

these positive integers are :

4, 64, 124, 184 ... , 964

964 = 4 + (n-1) (60)

964 = 4 + 60n -60

964 = 60n -56

60n = 1020

n = 1020/60

n = 17

so, the number of special integers smaller than 1000 are = 17

why are there three zeros in the product of 6 times 103

Answers

Answer:

There’s not

Step-by-step explanation:

It’s 618

write 0.800 in simplest fraction form

Answers

8/10 is the answer :)

Answer:

8/10=4/5 ans=4/5

Step-by-step explanation:

0.8x100%

0.8x100/100=80/100

=8/10=4/5

A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT

Answers

Answer:

A. Selection Bias

Step-by-step explanation:

Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.

Answer:

selection bias

Step-by-step explanation:

i got it right

A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.

Answers

Answer:

108π  ft² or  339.29 ft²

Step-by-step explanation:

Refer to attached picture.

The grazing area of the goat is 3/4 of area of circle with 12 ft radius:

A = 3/4(πr²) = 3/4(π*12²) = 108π  or  339.29 ft²

Tied to the corner

Means 1part among 4parts of circle or a quarter area

So grazing field

πr²-1/4πr²3/4πr²3/4(12)²π3/4(144)π108π339.3ft²

Solve for x:
2x + 5y = 8
Enter the number that belongs in the green box.
X =
By
fyt
Enter

Answers

Answer:

the answer is in picture

Answer:

x=5/2y+4

Step-by-step explanation:

Hello! Any help is appreciated (:

Answers

Y = x+1

Udbzjsjdbejdjjejejejdjejejejsjdjdjdjdjejejekieeu

Answer:

y = x + 1

Step-by-step explanation:

As x increases, y increases by 1. Therefore, the slope is 1. If we set x to 0, that'll make y equal 1. Therefore, the y-intercept is 1.

A triangle has side lengths of 2x , x + 4, and 3 (x + 3). Find the value of x if the perimeter of the triangle is 55 inches.​

Answers

Answer:

x=7

Step-by-step explanation:

55=2x+(x+4)+[3(x+3)]

55=2x+x+4+3x+9

55=6x+13

55-13=6x

42=6x

7=x

Answer:

7 inches

Step-by-step explanation:

Perimeter is the sum of side lengths:

P = 2x + x + 4 + 3(x + 3)P = 55

Solve for x:

2x + x + 4 + 3(x + 3) = 553x + 4 + 3x + 9 = 556x + 13 = 556x = 55 - 136x = 42x = 42/6x = 7

HELP GIVING BRAINLESTTTT!!!!!!!!

Answers

Answer:

4

......................

You deposit $300 into a savings account that is compounded annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account after x years. What is the constant percent rate of change?

Answers

Answer:

This is a simple interest, as the amount earned each year is constant

Step-by-step explanation:

Using compound interest, it is found that the constant percent rate of change is of 4%.

--------------------

The formula for an amount of money invested into compound interest is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which:

A(t) is the amount after t years.A(0) is the initial amount.r is the constant percent rate of change.t is the time.

--------------------

The function is:

[tex]g(x) = 300(1.04)^x[/tex]

Thus, for the constant percent rate of change:

[tex]1 + r = 1.04[/tex]

[tex]r = 1.04 - 1 = 0.04[/tex]

[tex]0.04 \times 100\% = 4\%[/tex]

The constant percent rate of change is of 4%.

A similar problem is given at https://brainly.com/question/3044643

El secreto de Daniel es un número par menor que 10 pero mayor que 6 cuál es este número misterioso

Answers

Answer:

hbjzX cjlhzBiuwHEHFIU

Step-by-step explanation:

ISDUABLDKJHSABJHSDFABVHBFDAPIUVFHEPIUAHOIsdcasdkjbvihdfabihabydsih

dy/dx y = 3root(4x+1) -2x

Answers

Answer:

Step-by-step explanation:

y = 3(4x + 1)^1/2 - 2x

dy/dx = 3*1/2(4x + 1)^-1/2 * 4  - 2

= 4 * 1.5 (4x + 1)^-1/2 - 2

= 6(4x + 1)^-1/2 - 2

= [6/√(4x + 1)] - 2

y = 3(4x + 1)^1/2 - 2x

∫3(4x + 1)^1/2 - 2x . dx

= 3 * 1/4 *  (4x + 1)^3/2 / 3/2 - x^2 + C

= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C

= 1/2((4x + 1)^3/2 - 2x^2) + C.

Answer:

Step-by-step explanation:

[tex]y=3*\sqrt{4x+1} -2x\\\\y'=\dfrac{dy}{dx} =\dfrac{3}{2*\sqrt{4x+1} } -2\\\\\\\int {(3*\sqrt{4x+1} -2x}) \, dx \\\\=\dfrac{3}{4} *\int {4*(4x+1)}^{\frac{1}{2}} \, dx -2\int {x} \, dx \\\\=\dfrac{-3}{4}*\sqrt{(4x+1)^3} *\dfrac{2}{3} }-x^2+C\\\\=\dfrac{\sqrt{(4x+1)^3}}{2} -x^2+C[/tex]

how many days altogether in the first four months of 1998

Answers

Answer:

120 days

Step-by-step explanation:

There are 31 days in January, 28 in February (this was not a leap year), 31 in March and 30 in April. All you have to do now is add 31 + 28 + 31 + 30 for a final answer of 120 days!

Answer:

120

Step-by-step explanation:

January: 31

February: 28

March: 31

April: 30

31+28+31+30=120

5. Esther has 90 mangoes. If she sells a third of the mangoes how many mangoes does she sell?​

Answers

Answer:

30 Mangoes

Step-by-step explanation:

30 is 1/3 of 90.

Answer: Esther has sold 30 mangoes

Step-by-step explanation:

An easy way to solve is dividing 90 by 3

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