Find the value of the variable (simplify your answer)

Answer:

Step-by-step explanation:

Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.

Since;

<B = <C = 60°

Then,

<A + <B + <C = [tex]180^{o}[/tex]

<A + 60° + 60° = [tex]180^{o}[/tex]

<A = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]

    = 60°

Thus,

AB = BC = AC = 6 inches

The construction is attached to this answer.

Answer:

480 milligrams

Step-by-step explanation:

92 pounds → 320 milligrams

138 pounds → 320/92 x 138 = 480 milligrams

hi i think the answers C     z<=16.1    good luck:)

pls don't hate on me if im wrong:(

Answer:

Your answer will be C z<=16.1

Step-by-step explanation:

How to solve this would be to divide -4 from both sides and because you are dividing a negative you have to flip the sign.

Answer:

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Step-by-step explanation:

A quadratic function is the standard form of the parabola. We can take advantage of the symmetry property of the parabola by using the following formula from the Analytical Geometry:

[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)

Where:

[tex]C[/tex] - Parabola constant, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Depedent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex of the parabola, dimensionless.

If we know that [tex](x_{1},y_{1})=(2,-6)[/tex], [tex](x_{2},y_{2})=(7,-11)[/tex] and [tex]h = 4[/tex], then we have the following system of linear equations:

[tex](x_{1},y_{1})=(2,-6)[/tex]

[tex]-6-k = C\cdot (2-4)^{2}[/tex]

[tex]4\cdot C +k = -6[/tex] (2)

[tex](x_{2},y_{2})=(7,-11)[/tex]

[tex]-11-k =C\cdot (7-4)^{2}[/tex]

[tex]9\cdot C + k = -11[/tex] (3)

By clearing [tex]k[/tex] in (2) and (3) and equalizing each other, we get that:

[tex]-6-4\cdot C = -11-9\cdot C[/tex]

[tex]5\cdot C = -5[/tex]

[tex]C = -1[/tex]

And the remaining variable is calculated by substituting directly on (3):

[tex]k = -11-9\cdot C[/tex]

[tex]k = -11-9\cdot (-1)[/tex]

[tex]k = -2[/tex]

Then, the equation of the parabola is:

[tex]y+2 = -(x-4)^{2}[/tex]

And the standard form of the equation is obtained by algebraic handling:

[tex]y+2 = -(x^{2}-8\cdot x + 16)[/tex]

[tex]y + 2 = -x^{2}+8\cdot x -16[/tex]

[tex]y = -x^{2}+8\cdot x -18[/tex] (4)

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Answer:

C.   6°C

Step-by-step explanation:

-3°C + 9°C = 6°C

0Answer:

1) Exterior Angle Therorem

2) Isosceles Triangle Theorem

Step-by-step explanation:

Answer:10+x

Step-by-step explanation:

Answer:

y-1 = -2(x-2) graph:

Answer:

Graph is below

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

−

2

y-intercept:

(

0

,

5

)

x

y

0

5

5

2

0

Answer:

60.9

Step-by-step explanation:

Answer:

Line MN is the answer

Step-by-step explanation:

Image SQ as a line that extends forever, if  you took line segment and also made it extend forever, then it would become parallel to line segment SQ, never touching or intersecting and going at the same angle.

Answer:

it the first one cause you adding so it 8b plus 2

Answer:

y=(-9-2x)/3

Step-by-step explanation:

Answer:

12books

Step-by-step explanation:

4 books → 1 $5 coupon

$15 coupon = $15 / $5 = 3times of $5 coupons

3 $5 coupons → 4 x 3 = 12 books

this is a topic on forming and solving equations. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting notes for many topics and will also be posting some tips :)

The number of books for $ 15 coupon is 12 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

From the bookstore :

Number of books for $ 5 coupon = 4 books

So ,

Number of books for $ 15 coupon = Number of books for $ 5 coupon x 3

Number of books for $ 15 coupon = 4 x 3 books

Number of books for $ 15 coupon = 12 books

Therefore , the number of books is 12

Hence , the number of books for $ 15 coupon is 12 books

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

Step-by-step explanation:

The question is not well structured. We can say;

$393.3 in 10 years investment at rate of 10% is equivalent to what?

Given

Amount invested = $393.3 (principal)

Time = 10years

Rate = 10% (assumed rate)

Required

Amount after 10 years

Amount = Principal + Interest

First we need to get the simple interest using the formula

SI = PRT/100

SI = $393.3 * 10 * 10/100

SI = $393.3*100/100

SI = $393.3

Amount in 10years = $393.3 + $393.3

Amount in 10years = $786.6

Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.

Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.

Answer:

x=5

Step-by-step explanation:

I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.

Hope this helped you : )

Given:

Total number of problems = 24

Michael completed [tex]\dfrac{1}{4}[/tex] of his homework in [tex]\dfrac{3}{4}[/tex] of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{1}{4}[/tex]

Part of work done in an hour [tex]=\dfrac{4}{3}\times \dfrac{1}{4}[/tex]

                                                [tex]=\dfrac{1}{3}[/tex]

Therefore, he complete [tex]\dfrac{1}{3}[/tex] of his homework in 1 hour. Hence, all options are incorrect.

Answer:

900,000

Step-by-step explanation:

because when you round  number from 1-4 you put it down example: 1223

round to nearest thousand it is 1000 but when 5-9 is higher example: 1566 it is 2000

Answer:

900,000

Step-by-step explanation:

Bc The Ten Thousandths place is over 4

Answer:

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initi… Get the answers you need, ... is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical metal is 10.5cm and height is 63cm. How many cubes will be made.

Step-by-step explanation:

hope this is right!

Answer:

it cost 5.99

Step-by-step explanation:

it all depends on the type of burrito

Answer:

All Congruent Angle Pairs

1) ∠1 and ∠3 are congruent **

2) ∠2 and ∠4 are congruent

3) ∠6 and ∠8 are congruent

4) ∠5 and ∠7 are congruent

5) ∠1 and ∠7 are congruent

6) ∠2 and ∠8 are congruent **

7) ∠3 and ∠5 are congruent

8) ∠4 and ∠6 are congruent **

Step-by-step explanation:

1) Vertical pairs

2) Vertical pairs

3) Vertical pairs

4) Vertical pairs

5) Alternate exterior angles

6) Alternate exterior angles

7) Alternate interior angles

8) Alternate interior angles

the pairs are

< 1 and < 3

< 4 and < 5

I think 2 and 8

Answer:

If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]

We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]

Inserting values and finding adjacent:

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]

So, value of Adjacent is [tex]\sqrt{95}[/tex]

Now finding cosФ

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12

[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]

So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Answer:

52metre

Step-by-step explanation:

Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is

( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]

But we need to convert those mixed fractions to improper fraction for easy simplification

1 1/4= [(4×1)+4]= 5/2

3 1/4=[(4×3)+1)]=13/4

Then we can proceed with simplification as

(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]

But we were given length of the actual peace of land as 20 cm, then

(5/2)/(13/4)=[blueprint of the plot of land/20]

If we cross multiply we have

[blueprint of the plot of land] ×13/4 =5/2 ×20

[blueprint of the plot of land] =(5/2 ×20)÷(13/4)

= 50/(13/4)

=(4×13)/50

= 52

Therefore, the length of the actual peace of land is 52metre

Answer: B) 52 miles

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

39 - 14 = 25

5 x 5 = 25

14 + 25 = 39

Answer:

5 hours

Step-by-step explanation:

John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.

Start by setting the equation,

            $39.00= $5x + $14.00

Then solve by

1) subtracting 14 from both sides;

39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;

39 -14 = 5x  becomes $25= 5x      (39 -14 =25)

2) divide both sides by 5 to get x alone

25 (/5)=5x (/5) which becomes 25/5=x

3) 25/5 is 5

John must work 5 hours to have enough money to buy his video game.

its a because .25x4=1.00

Answer:

B. 1/4 and 0.0025

Step-by-step explanation:

Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]

[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]  so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]

so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])

A system of the equation of a parabola and a linear equation

Let equation of Parabola be [tex]y^2 = x[/tex]

and linear equation y = x

substitute

[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]

Y = 0,1

so the two solutions will be (0,0) and (1,1)

Answer: It is closer to 9

Step-by-step explanation: The square root of 84 is 9.16515139

Answer:

9

Step-by-step explanation:

The square root of 84 rounded the hundredth is 9.17, making it closer to 9 than 10.