Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = 1.3 in. EG = 3 in. m∠X = ° m∠G = °

Answer:

  On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.

It appears your only function is ...

  On a coordinate plane, a v-shaped graph opens up.

Answer:

 On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

Good luck everybody and have a great day :D

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

Answer:

x=84

Step-by-step explanation:

x÷4-6=15

x÷4=21

x=84

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (2, 3)

m = [tex]\frac{3-2}{2-1}[/tex] = 1

Answer:

1

Step-by-step explanation:

the  gradient = difference between coordinate y/difference between coordinate x

(3-2)/(2-1)=1

Answer:

C

Step-by-step explanation:

If 5x is a positive odd number, using 1 for x would satisfy this.

So the number of even numbers between 5(1) and 5(1)+6 would be the numbers between 5 and 11.

You have 6, 8, 10 between those numbers that are even

If you chose 3 for x instead:

5(3) and 5(3)+6 ; 15 and 21

These also have 3 even numbers between them, being 16, 18, and 20

There will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer.

An Odd Number is a number which is not divisible by 2.

It is given that

5x is a positive odd number

Every alternate term from the next term of 5x will be an even number

Upto 5x+6 , there will be

5x+1 , 5x+3 , 5x+5

For checking , let x = 1

The number will be 5 , the even number between 5 and 5+6 = 11 is asked

6 , 8 , 10

Therefore there will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer

To know more about Odd Number

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Answer:

A

Step-by-step explanation:

There isn’t enough info provided

Answer:

The other factor is (x + 2).

Step-by-step explanation:

If x - 10 is a  factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x.  That factor is (x + 2):

x^2 - 8x - 20 = (x - 10)(x + 2)

As a test, multiply -10 and +2.  We get -20, matching the constant of the given polynomial.  Also, -10x + 2x = -8x, another match.

Answer:

(x-12) and (x+12)

Step-by-step explanation:

Answer:

16/64 i think

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Total Marks = 64

Correct = 48

Incorrect = 64-48

=> 16

Fraction of Incorrect Answers:

=> [tex]\frac{16}{64}[/tex]

In simplest form:

=> [tex]\frac{1}{4}[/tex]

Answer:

y = (x-.5)^2 -12.25

Step-by-step explanation:

first, find the vertex

x from (x,y) = -b/2a

ax^2-bx - c

1x^2-1x -12

-1/2(-1) = -1/-2 - 1/2

(1/2,y) then use x value to find y value

y = 1/2^2 - 1/2 - 12

y = .25 -.5 - 12    = -12.25

(.5,-12.25) input values into this formula:

y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1

y = (x-.5)^2 -12.25

Answer:

zero residual equals zero mean

A line of best fit is a straight line that shows the appropriate correlation among scatter plots of a given data. It is majorly used when the plotted points are not linear, it can be used to express the relationship between dependent and independent variables.

The sum of the residuals should be close to zero because it shows that the line of best fit is accurately drawn. Thus, it implies that there is a linear relationship between the two variables. Since he residual is close to zero, the graph could be said to be a linear graph.

4                    1                    1

---  kg    x    -----      =         ------   kg = 0.05 kg = 50 g

10                    8                  20

Answer:

[tex]\large \boxed{\sf \ \ \ x-y=-2\sqrt{7} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

it took me some time to understand the correct equations, I believe that you mean

[tex]x+y=4\\\\x^2+y^2=22\\\\x^4=y^4-176\sqrt{7}[/tex]

So let's play with these equations

[tex]x^4=y^4-176\sqrt{7}\\\\<=>y^4-x^4=176\sqrt{7}\\\\<=>y^4-x^4=(y^2)^2-(x^2)^2=(y^2-x^2)(y^2+x^2)=(y-x)(y+x)(x^2+y^2)\\\\=176\sqrt{7}[/tex]

So

[tex]x-y=-\dfrac{176\sqrt{7}}{(x+y)(x^2+y^2)}=-\dfrac{176\sqrt{7}}{4*22}=-2\sqrt{7}=-5.291503...[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

15

Step-by-step explanation:

q-v

             substitute values for q and v

28-13

15 is your answer. Hope this helps.

Answer:

17.5 kg of water.

Step-by-step explanation:

The amount of alcohol in the 15% solution = 20*0.15 =  3kg.

If 3 kg is equivalent to 8% solution

then 100%  is  3*100 / 8 = 37.5 kg.

So the amount of water to be added to make 8% solution = 37.5 - 20

= 17.5 kg.

Answer:

  [tex]\textbf{A. }4\sqrt{6}[/tex]

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

  [tex]x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}[/tex]

Answer:B

Step-by-step explanation:

Answer:

101.58 in

Step-by-step explanation:

The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.

The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.

Using the sine ratio in the right triangle, then

sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )

r × sin16° = 28 ( divide both sides by sin16° )

r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in

Answer:

The 3rd answer

Step-by-step explanation:

Answer:

The answer is d

Step-by-step explanation:

The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.

The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.

here, we have,

Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.

In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.

Thus, the place value of the 8 is 0.008, or 8 thousandths.

Learn more about the place value strategy here:

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Answer:

Step-by-step explanation:

It appears from our choices that this is a linear function, a line in the form

y = mx + b

We need to first find the slope. The 3 coordinates are (4, 66), (5, 77), (6, 88).

Using the slope formula twice to make sure this is in fact linear:

and between the next set of coordinates:

Since the slopes are the same, this is in fact linear. Using that slope along with 1 of the points in the point-slope formula for a line:

y - 66 = 11(x - 4) and

y - 66 = 11x - 44 and

y = 11x + 22, choice C.

y = 11x + 22

Answer:

The mean of the following set of data would be 807.5

Step-by-step explanation:

mean: 806 + 809 = 1,615 ÷ 2 = 807.5

Basically, you just have to add the two numbers in the set of data or the listed numbers...

Then you have to divide it with the total amount of numbers there are in the set of data.  In this problem it would be 2 since there are only 2 numbers in the set of data.

Step-by-step explanation:

mean is total÷no.

806+809=1615, the total, the no. is 2

1615÷2=807.5

The simplest way

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

Answer:

1 number ans (-3.5,3.5)

2 number ans(5,6)

Step-by-step explanation:

mid point formula is( X 1 + X 2 by 2 , Y1 + Y2 by 2 )

Answer:

m∠x = 65°

m∠y = 81°

m∠z = 34°

Step-by-step explanation:

Since we have 2 transversals and a pair of parallel lines, we can see that at ∠A it equals 65°. If we use the Corresponding Angles Theorem, the m∠A = m∠x. Therefore, x = 65°

To find y, we know that a line is 180°. So, 180 - (65 + 34) = 81°

To find z, we know that all angles in a triangle add up to 180°. So, 180 - (81 + 65) = 34°. Alternatively to find z, we could use Alternate Interior Angles Theorem.

Answer:

a. A/B = 7/3

b. (p,q) = (4,0)

c. (p,q) = (0,2)

Step-by-step explanation:

We have the line as:

21x-6y-15 = 0

The general form of the equation of a straight line is;

y = mx + c

Where m is the slope and c is the y -intercept

writing the above in this manner, we have

6y = 21x -15

Now let’s divide through by 6;

y = 21x/6 -15/6

y = 7x/3 -5/3

Since in the general equation of a straight line, the coefficient of x is the slope, this means that our slope is 7/3 which makes A = 7 and B = 3

Considering the equation;

3x + 6y = 12

Expressing in the general form, we have

6y = 12-3x

divide through by 6

y = 12/6 -3x/6

y = 2-0.5x

Now we want to find the x intercept. At the x-intercept, the value of y = 0

Thus 0 = 2-0.5x

0.5x = 2

x = 2/0.5 = 4

so (p,q) = (4,0)

For the y intercept

y = 2-0.5x

Obviously the y intercept here is 2, so the coordinates of the y-intercept here is (0,2) = (p,q)

Answer:

x12

Step-by-step explanation:

When multipling  numbers that are the same with exponent you can just add the exponents.

so x5*x7=x12

(It would be subtraction if there was division)

Hope this helped you and feel free to ask questions!

Answer:

x^12

Step-by-step explanation:

When multiplying exponents, the rule below is followed.

[tex]x^a * x^b= x^{a+b}[/tex]

Basically, the base remains the same, but the numbers in the exponents are added.

We are given:

[tex]x^5*x^7[/tex]

We leave the base (x)as is, and add the numbers in the exponents (5 and 7).

[tex]x^5*x^7\\[/tex]

[tex]x^{5+7[/tex]

[tex]x^{12}[/tex]

The expression [tex]x^5*x^7\\[/tex] can be simplified as: [tex]x^{12{[/tex]

Answer:

No.

Step-by-step explanation:

Let's first and try to isolate x.

-2x < 5

(Divide by -2)

x > -5/2 ( < changes to > b/c it was divided by a negative)

x > -2.5

Since x is all values greater than -2.5, -6 is not within those bounds.

Thus, -6 is not a solution to the inequality.

Hope that helps!

Answer:

a. 24

b. 864

Step-by-step explanation:

a. The demand function is:

P = 60 - 2Q

When P = 12:

12 = 60 - 2Q

2Q = 60 - 12

2Q = 48

Q = 48/2 = 24

b. Consumer surplus is given as the integral of Demand function:

[tex]CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\[/tex]

This implies that:

[tex]CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864[/tex]

Answer:

x = 4

Step-by-step explanation:

We can find RT

sin theta = opposite / hypotenuse

sin 60 = 2 sqrt(3) / RT

RT = 2 sqrt(3) / sin 60

RT = 2 srt(3) / ( sqrt(3) / 2)

RT = 4

tan theta = opp/ adjacent

tan 45 = x / RT

tan 45 = x / 4

4 tan 45 = x

4 * 1 = x

4 = x

Answer: 2.4 UNITS

Step-by-step explanation:

The sine rule :

Sine A / a = Sine B / b = Sine C / c

From the diagram attached :

QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?

We need to find the angle RQS

using Sine rule :

Sine R / r = Sine S / s

Sin 80° / 3.1 = sin S / 2.4

0.9848077 / 3.1 = sin S / 2.4

Sin S × 3.1 = 0.9848077 × 2.4

Sin S = 2.3635386 / 3.1

Sin S = 0.7624318

S = Sin^-1(0.7624318)

S = 49.67°

Therefore, form using ;

A + B + C = 180° ( SUM of angles in a triangle)

SQR = 180° - (QRS + QSR)

= 180° - ( 80 + 49.67)° = 50.33°

Q = 50.33°

THEREFORE,

Sine Q / q = Sin S / s

Sin 50.33° / q = Sin 49.67° / 2.4

0.7697339 / q = 0.7623295 / 2.4

0.7623295q = 0.7697339 × 2.4

q = 1.84736136 / 0.7623295

q = 2.4233108

q = Segment RS = 2.4units

Answer:

B) 2.5 is the right answer

Step-by-step explanation:

i got 100%

Answer:

Total number of flash = 50 flash

Step-by-step explanation:

Given:

Time taken of a flash = 3/5 minute = 3/5 × 30 = 36 sec

Total time = 30 minute = 30 × 60= 1800 sec

Find:

Total number of flash in 30 minutes

Computation:

⇒ Total number of flash = Total time / Time taken of a flash

⇒ Total number of flash = 1800 / 36

⇒ Total number of flash = 50 flash