what’s the measure of the missing angles?

Answer:

Required probability = 2/3

Step-by-step explanation:

When rolling a 6 sided die, the out comes are

1, 2, 3, 4, 5 and 6

Total number of outcomes = 6

To find the probability

The required outcome is a number greater than 2, therefore possible outcomes are,

3, 4, 5, and 6

Number of possible outcomes = 4

Required probability = 4/6 = 2/3

Answer:

Determine the theoretical probability of rolling a number larger than 2 on a standard 6-sided cube.

2/3

Step-by-step explanation:

Answer:

The last picture or

The picture with 3 lines on EF and TR, 1 line one EG, 1 line on SR, 2 lines on ST and 2 lines on GF

Step-by-step explanation:

Since EF and RT have 3 lines and FG and TS have 2 lines, they are similar

Answer:

Step-by-step explanation:

If [tex]\triangle EFG \cong \triangle RTS[/tex], it can be deducted the following:

[tex]\angle E \cong \angle R\\\angle F \cong \angle T\\\angle G \cong \angle S[/tex]

Also,

[tex]EF \cong RT\\FG \cong TS\\EG \cong RS[/tex]

Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.

Answer:

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

The y-intercept was (0,2) then it becomes (0,5) in the new line.

Step-by-step explanation:

The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.

Both of these equations given are in this form.

y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.

Since b=2 then the y-intercept is 2.

y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.

Since b=5 then the y-intercept is 5.

So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.

Answer:

[tex]((\frac{2}{3})^0)^{-3}=1[/tex]

Step-by-step explanation:

We need to find the value of [tex]((\frac{2}{3})^0)^{-3}[/tex]

Solving:

We know, [tex](a^b)^n = a^{b*n}[/tex]

[tex]((\frac{2}{3})^{0*-3})[/tex]

[tex](\frac{2}{3})^0[/tex]

a^0 = 1

so,

[tex](\frac{2}{3})^0=1[/tex]

So, the value of [tex]((\frac{2}{3})^0)^{-3}=1[/tex]

Answer:

D. G(x) = 7x2

Step-by-step explanation:

Given a function f(x), the function kf(x) is stretched by a factor of k. In this case, if we stretch the function f(x) = x^2 by a factor of 7, the new function is going to be:

g(x) = 7x^2. Therefore, the correct option is option D.

Answer:

7.5 = 2x + 2.1

Step-by-step explanation:

The perimeter of a triangle is the sum of the sides.  In an isosceles triangle, two sides are the same length.  If x is the length of the two sides and y is the length of the third side, then:

P = 2x + y

Given that P = 7.5 and y = 2.1:

7.5 = 2x + 2.1

Answer: The equation that can be used to find the value of x is

2x + 2.1 = 7.5

Step-by-step explanation: An isosceles triangle is a type of triangle which has two of its sides equal to each other. It also has two it's angles (the base angles) equal to each other.

From the question, the given triangle has the shortest side, y to be 2.1 m. This means side y is shorter than the other two sides. Hence, the other two sides must be the sides that are equal to each other. These other two sides are denoted by x ( see the attachment for an illustrative diagram).

The perimeter of a triangle is the sum of all its sides. Therefore, the perimeter (P) of the given triangle is

P = x + x + y

P = 2x + y

From the question, P = 7.5 m

and y = 2.1 m

Hence,

7.5 m = 2x + 2.1 m

2x + 2.1 m = 7.5 m

This equation can be used to find the value of x. The equation can also be written as:

2x = 7.5 m - 2.1m OR

x = (7.5 m - 2.1m) / 2

Answer:

Q1: D

Q2: D

Step-by-step explanation:

Question No 1:

The given sequence is:

-2, 0, 3, 7, ...

We can easily determine that this is not an arithmetic sequence because the common difference between terms is not same.

i.e.

0-(-2) = 0+2 = 2

3-0 = 3

7-3 = 4

As the common difference is not same so the sequqnce is not an arithmetic sequence.

Question no 2:

Given sequence is:

28, 18, 8, -2, ..

We can see that the common difference is -10 i.e 18-28 = -10

And it is same for all numbers.

The standard formula for arithmetic sequence is:

[tex]a_n=a+(n-1)d\\Here\\a = 28\\d=-10\\So,\\a_n=28+(-10)(n-1)\\a_n=28-10n+10\\a_n=38-10n[/tex]

Now for the 52nd term:

[tex]a_{52} = 38-10(52)\\= 38-520\\=-482[/tex] ..

The answer is B) Link below

Answer:

B

Step-by-step explanation:

I just did it

Answer:

3x-2

Step-by-step explanation:

[tex]9x^{2} -12x+4[/tex] can be factored using the perfect square rule into [tex](3x-2)^{2}[/tex]

and

[tex]9x^{2}-4[/tex] can be factored by using the difference of squares formula into [tex](3x+2)(3x-2)[/tex]

Both can be factored by (3x-2) so it is a common factor.

Hence, there are no common factors between the two equations.

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

given equation is [tex]9x^2-4[/tex]

solving for x,

                     [tex]9x^2=4\\x^2=\frac{9}{4} \\x=\frac{3}{2}, -\frac{3}{2}[/tex]

putting values of x in equation 1,

x = [tex]\frac{3}{2}[/tex],

      [tex]\frac{81}{4}-12.\frac{3}{2}+4\\ \frac{25}{4}[/tex]Therefore, 3/2 is not a common factor

x=[tex]-\frac{3}{2}[/tex],

      [tex]\frac{81}{4}+12.\frac{3}{2}+4\\ \frac{169}{4}[/tex]Therefore, -3/2 is not a common factor

Hence, there are no common factors between the two equations.

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Answer:

Step-by-step explanation:

18 - r = 12         subtract 18 from both sides

18 - 18 - r = 12 - 18

-r = -6            change the signs

r = 6

Check

18 - 6 = 12         CORRECT

Answer:

[tex]y+1=3(x+1)[/tex]

Step-by-step explanation:

Ok so we are looking for line parallel to the line containing points (0,-3) and (2,3).

Parallel lines have the same slope.

So let's find the slope of the line containing the points (0,-3) and (2,3).

You can use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

However, I just like to line up the points vertically and subtract them vertically, then put 2nd difference over 1st difference. Like this:

(0 , -3)

-(2 ,  3)

-----------

-2     -6

So the slope is -6/-2 or just 3.

So the slope of the line we are looking for has slope 3 (or m=3) and your line should contain the point (-1,-1).

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point you know on the line.

So we just plug into that equation now.  That gives us:

[tex]y-(-1)=3(x-(-1))[/tex]

Simplify a bit:

[tex]y+1=3(x+1)[/tex]

Answer:

The answer is: y+1=(3x+1)

Step-by-step explanation:

Answer:

The system has no solution

Step-by-step explanation:

we have

y=5x+10 -----> equation C

The slope of the equation C is m=5 and the y-intercept is b=10

y=5x+2 -----> equation D

The slope of the equation C is m=5 and the y-intercept is b=2

Remember that

If two lines are parallel, then their slopes are the same

Equation C and equation D are parallel lines with different y-intercept

therefore

The system has no solution (the lines do not intersect)

Answer:

C

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius

Consider

[tex]\frac{x^2}{2^2}[/tex] + [tex]\frac{y^2}{2^2}[/tex] = 1, that is

[tex]\frac{x^2}{4}[/tex] + [tex]\frac{y^2}{4}[/tex] = 1

Multiply through by 4

x² + y² = 4 ← equation of circle

This is the equation of a circle centred at the origin with radius 2

Answer:

Option D 74°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

The arcs that the outer angle encompasses are

254° and (360-254)=106°

therefore

∠x=(1/2)[254°-106°]

∠x=(1/2)[148°]

∠x=74°

Answer:

Both obtuse angles - 124°

Both acute angles - 56°

Step-by-step explanation:

The two given obtuse angles are equal. Therefore you get an equation

[tex]9y+7 = 2y+98\\7y=91\\y=13[/tex]

So the obtuse sizes of the two given angles are [tex]13*9+7=2*13+98=124[/tex]°

And the sizes of the acute angles are [tex]180-124=56[/tex]°

Without a clear relationship between the expression (9y+7) and the angle measurement (2y+98)°, we cannot find a unique value for y. However, the measure of the angle would vary with y according to the formula (2y+98)°.

The given expression is (9y+7) and the measure of the angle is (2y+98)°. We aren't given a specific equation that links the expression to the measure of the angle, so we cannot find a unique value for y. However, if a particular relationship between the expression and the measure of the angle is provided, such as them being equal, we can use algebraic methods to solve for y.

As for measures of angles, in general, if we know the value of y, we can substitute that into the (2y+98)° to find the specific angle. Without knowing the value of y or a particular relationship between (9y+7) and (2y+98)°, we can say that the measure of the angle varies with y according to the formula (2y+98)°.

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Answer:

I think the answer is A

Step-by-step explanation:

Answer:

C.

Step-by-step explanation: The other answer was not right on edge* but i belive that it is C.

Answer:

Step-by-step explanation:

The given expression is:

-3(6f - 12) = 36 - 18f

To prove that L.H.S=R.H.S:

Multiply -3 (6f-12)

-3(6f)-3(-12)

=-18f+36

=36-18f

Hence it is proved that L.H.S = R.H.S....

Answer:

13 slices.

Step-by-step explanation:

To find your total amount of slices at the start, multiply your pizzas by your slices.

[tex]9*8=72[/tex]

Next, find the difference between your total amount of slices and the amount of slices which have been eaten.

[tex]72-59=13[/tex]

13 slices are left.

Answer:

2.94cm^2

Step-by-step explanation:

If you're referring to the mathswatch question, this gets you 2/3 :)

Answer:

0.19

Step-by-step explanation:

A correlation coefficient is a measure of how well the line of best fit fits the data.  The higher the correlation coefficient, up to 1.0 or -1.0, the better the fit. A positive correlation coefficient means an increasing data set, while a negative correlation coefficient means a decreasing data set.

We can see that this line of best fit is increasing, so our correlation coefficient will be positive.

However we can also see that the points are fairly scattered; this means this is not a very good fit.  This means that 0.19 is the better fit.

Answer:

5⁄18 < x

Step-by-step explanation:

Start by adding like-terms [⅓ and 2⁄9] with 9 being the Least Common Denominator [LCD]. Since 2⁄9 already has a 9 in the denominator, it does not get touched, so in order to make ⅓ a denominator of 9, we simply multiply both terms by 3, to get 3⁄9. So, adding that to 2⁄9 gives you 5⁄9, also giving you 5⁄9 + x > ⅚. Now, we have to find the LCD again because we have two unlike fractions. Now, our Least Common Denominator is 18, so multiply both terms in ⅚ by 3 [15⁄18] and multiply both terms in 5⁄9 by 2 [10⁄18]. Now you have two like fractions to work with, and you can clearly see that your answer is x > 5⁄18. Although the answer is written in reverse, it is still the same concept.

I am joyous to assist you anytime.

Answer:

0.2237

Step-by-step explanation:

Use the Table of Standard Normal Probabilities for Negative z-scores.

For z= -0.36 NORMSDIST(-0.36)=0.3594 (read value from the table)

For z= -1.10  NORMSDIST(-1.10)=0.1357 (value from the table)

You know P(-1.10<z<-0.36) = 0.3594-0.1357=0.2237

Answer:

x ≤-18

Step-by-step explanation:

3-x/2≥12

Subtract 3 from each side

3-3-x/2≥12-3

-x/2≥9

Multiply each side by -2 to clear the fraction.  Remember to flip the inequality since we are multiplying by a negative

-3 * -x/2 ≤ -2 *9

x ≤-18

Answer:

x ≤ - 18

Step-by-step explanation:

Given

3 - [tex]\frac{x}{2}[/tex] ≥ 12

Multiply all terms by 2

6 - x ≥ 24 ( subtract 6 from both sides )

- x ≥ 18

Multiply both sides by - 1, remembering to reverse the sign as a consequence of multiply by a negative quantity.

x ≤ - 18

Answer:

[tex]3ab^2\sqrt[3]{b}[/tex]

if the problem was [tex]\sqrt[3]{27a^3b^7}[/tex].

Step-by-step explanation:

Correct me if I'm wrong by I think you are writing [tex]\sqrt[3]{27a^3b^7}[/tex].

[tex]\sqrt[3]{27a^3b^7}[/tex]

I'm first going to look at this as 3 separate problems and then put it altogether in the end.

Problem 1: [tex]\sqrt[3]{27}=(3)[/tex] since  [tex](3)^3=27[/tex].

Problem 2:[tex]\sqrt[3]{a^3}=(a)[/tex] since [tex](a)^3=a^3[/tex]

Problem 3: [tex]\sqrt[3]{b^7}[/tex].  This problem is a little harder because [tex]b^7[/tex]is not a perfect cubes like the others were. But [tex]b^7[/tex] does contain a factor that is a perfect cube. That perfect cube is [tex]b^6[/tex] so rewrite [tex]b^7[/tex] as [tex]b^6 \cdot b^1[/tex] or [tex]b^6 \cdot b[/tex].

So problem 3 becomes [tex]\sqrt[3]{b^6 \cdot b}=\sqrt[3]{b^6}\cdot \sqrt[3]{b}=b^2 \cdot \sqrt[3]{b}[/tex].  The [tex]b^2[/tex] came from this [tex](b^2)^3=b^6[/tex].

Anyways let's put it altogether:

[tex]3ab^2\sqrt[3]{b}[/tex]

Answer:

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

4(2x - 1) = (4)(2x) + (4)(-1) = 8x - 4

Put x = 6 to the expression:

8(6) - 4 = 48 - 4 = 44

The solution to the given expression is 44.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

By applying the distributive property of multiplication to the given expression, we have:

4(2x - 1) = 4(2x) - 4(1)

4(2x - 1) = 8x - 4

when x = 6, we have;

8x - 4

8(6) - 4

48 - 4 = 44.

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Answer:

Good question! The correct answer is a) increases and b) increases.

While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.

Answer:

a) increases and b) increases.

Step-by-step explanation:

Answer:

(3×20%+2×70%)/3+2=40%

Step-by-step explanation:

Assuming the potions are the same type or do mix then probably the concentration of the potion depends on the type of reaction they have to each other.

Yet we can average the percentage of the active ingredient by the principle mentioned above

Answer:

The final concentration is 40%.

Step-by-step explanation:

Let x the concentration of final solution.

3 liters of solution (1) with 20% concentration is mixed with 2 liters of 70% solution producing (3 + 2) = 5 liters of x% mixture.

Now 3 × (20%) + 2 × (70% = 5 (x%)

3 × 0.2 + 2 × 0.7 = 5 (0.1x)

0.6 + 1.4 = 0.05x

2 = 0.5x

x = 2/0.05

= 40%

The final concentration is 40%.

Answer:

[tex]\frac{1}{3}\ in[/tex]

Step-by-step explanation:

we have

[tex]a(n)=9(\frac{1}{3})^{n-1}[/tex]

For n=4

substitute

[tex]a(4)=9(\frac{1}{3})^{4-1}[/tex]

[tex]a(4)=9(\frac{1}{3})^{3}[/tex]

[tex]a(4)=9(\frac{1}{27})[/tex]

[tex]a(4)=\frac{1}{3}\ in[/tex]

Answer:

1/3

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

Evaluate the sum of 14 terms and subtract the sum of the first 3 terms

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], so

[tex]S_{14}[/tex] = 7 [ (2 × 6) + (13 × 3)]

                         = 7(12 + 39) = 7 × 51 = 357

[tex]S_{3}[/tex] = 6 + 9 + 12 = 27

Sum of terms from 4 th to 14 th = 357 - 27 = 330

Answer:

Expressing the distance from the shore by the time needed to reach that distance at an invariable speed of 4.2f/s then f=4.2 p

Answer:

f=4.2p

Step-by-step explanation: