Evaluate the expression 4 + 9(3 + 11) - 15*2 using order of operations.the 2 is an exponet

Answer:

Definition of Congruent angles.

Step-by-step explanation:

Given

See attachment

Required

Complete the proof at step 8

At step 8, we have:

[tex]\angle ABC \cong \angle ABD[/tex]

When the sign [tex]\cong[/tex] is used, it means congruence

In other words;

ABC and ABD are congruent

Hence, the missing statement at step 8 is: Definition of Congruent angles.

Answer:

ABC and ABD are congruent

Step-by-step explanation:

Answer:

Organize into a table for good gatherings.

Given a function g(x), its derivative, if it exists, is equal to the limit

[tex]g'(x) = \displaystyle\lim_{h\to0}\frac{g(x+h)-g(x)}h[/tex]

The limit is some expression that is itself a function of x. Then the derivative of g(x) at x = 1 is obtained by just plugging x = 1. In other words, find g'(x) - and this can be done with or without taking a limit - then evaluate g' (1).

Alternatively, you can directly find the derivative at a point by computing the limit

[tex]g'(1) = \displaystyle\lim_{h\to0}\frac{g(1+h)-g(1)}h[/tex]

But this is essentially the same as the first method, we're just replacing x with 1.

Yet another way is to compute the limit

[tex]g'(1) = \displaystyle\lim_{x\to1}\frac{g(x)-g(1)}{x-1}[/tex]

but this is really the same limit with h = x - 1.

You do not compute g (1) first, because as you say, that's just a constant, so its derivative is zero. But you're not concerned with the derivative of some number, you care about the derivative of a function that depends on a variable.

Answer:

60 (E)

Step-by-step explanation:

He plants seeds -> plants grow to 12 times the original weight of the seeds -> he sells 50 tonnes from the harvest -> remainder is used as the next batch of seeds

He harvested 120 tonnes this year which means the original weight of the seeds planted was 120÷12 = 10 tonnes. This means that last years harvest would be the 10 tonnes used as seeds plus the 50 tonnes that would have been sold immediately, 10+50 = 60 tonnes

Answer:m

Step-by-step explanation:m

Answer:

Diana sold 25 tickets and Dulce sold 30 tickets

Step-by-step explanation:

Let us assume that Diana sold x number of tickets, dulce sold 20% more x or 1.2x. ATQ, x+1.2x=55. x=25. So Diana sold 25 tickets and Dulce sold 30 tickets

Answer:

the volume is 1000 cm^3

Step-by-step explanation:

first we need to find where is the base, and height, for this case, the trian is the base, not the rectangle, so it maybe eas if you draw a upright angle os the shape, with the triangle facing down.

As show you need to have bare and height for the volume of the prism, which we already know the height is 25 (h=25) so now we need to find the base.

for the base, since it’s a triangle, which has the area formal of 1/2(bh), so now just plot the number in, 1/2x10x8= 40 cm^2

now using the volume of prism formal; V = bh = 40 x 25 = 1000 cm^3

Answer:

a) X=75°

y= 105°

b) b= 120°

a=45°

d) r=75°

q=37°

p= 37°

e) y=100°

X= 143°

Step-by-step explanation:

soln no. a

here,

X+50+55=180(sum of all angle of triangle)

or, X= 180-105

or, X= 75°

again,

X+y = 180 (straight angle)

or, y= 180-75

or, y= 105°

soln no b

here,

b+60=180(straight angle)

or, b = 180 - 60

or, b = 120°

again,

a+60+75=180(sum of all angle of triangle)

or, a = 180- 135

or, a = 45°

soln no. d

here,

r=70°( alternate angle)

again,

73°+q+r=180( sum of all angle of triangle)

or,q=180-143

or,q=37°

again,

p=q=37(alternate angle)

soln no. e

y+80=180(straight angle)

or,y= 180-80

or, y = 100°

again,

63+80+<RMB=180(sum of all angles of triangle)

or, 143+<RMB=180

or, <RMB=180-143

or,<RMB= 37°

again,

X+ <RMB= 180(straight angle)

or,X= 180°-37°

or, X = 143°

Answer:

[tex]\boxed{x=13.89\:km}[/tex]

Step-by-step explanation:

Pythagorean theorem

[tex]x^2=(12^2)+(7^2)[/tex]

[tex]x^2=144+49[/tex]

[tex]x^2=193[/tex]

[tex]x=\sqrt{193}[/tex]

[tex]\boxed{x=13.89\:km}[/tex]

Answer:

530in²

Step-by-step explanation:

Area of triangle(a)=1/2bh=1/2*40*26.5=530

Answer:

A={x| x>7} = 8,9

B= {5,6}

1,

2,{5,6,8,9}

3,{}

4{}

Answer:

B, [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.

As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

([tex]2,-1[/tex]),  ([tex]4,-2[/tex])

[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]

[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]

Answer:

B

Step-by-step explanation:

Open circle means the number is not included.

Hope this helps <3

Answer:

d. -4x² + 8x - 6

Step-by-step explanation:

(3x² + 2x - 4) + (-7x² + 6x - 2)

3x² + 2x - 4 - 7x² + 6x - 2

3x² - 7x² + 2x + 6x - 4 - 2

-4x² + 8x - 6

Answer:

rational

Step-by-step explanation:

it can be written as a fraction

Answer:

(f+g)(x)=5x+2x²-7x+4+3x-7 = 2x²+x-3

Step-by-step explanation:

Answer:

=6x^3-20x^2+26x-28

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Kristian : Stephanie

3                 2

Kristian receives 72

72/3 = 24

Multiply each side by 24

Kristian : Stephanie

3*24                 2*24

72                        48

Answer:

1/36

Step-by-step explanation:

it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}

you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...

The probability of rolling a sum of 2 with these dice is 1/36.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Pair of dice have= {1,2,2,3,3,4}

Now,

The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.

However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.

This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.

Therefore, the probability will be 1/36.

Learn more about probability here;

https://brainly.com/question/9326835

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Answer:

A = 9 pi cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r=3

A = pi (3)^2

A = 9 pi cm^2

Area of circle = πr²

Area = π3²

Area = 9π

There area in terms of pie is 9πcm²

Must click thanks and mark brainliest

Answer:

y ≥ 0

Step-by-step explanation:

The range of the function is the output values.

The y value goes from 0 to infinity

y ≥ 0

Answer:

Step-by-step explanation:

.007  = 7 x [tex]10^{-3}[/tex]

.07    = 7 x [tex]10^{-2}[/tex]

7      = 7 x [tex]10^{0}[/tex]

700 = 7 x [tex]10^{2}[/tex]

Answer:

3 ft per minute

Step-by-step explanation:

Take the distance and divide by the time

3/4 ft ÷ 1/4 minute

Copy dot flip

3/4 * 4/1

Rewriting

3/1 * 4/4

3/1 *1

3 ft per minute

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

x=0, - 9

Step-by-step explanation:

x^2+9x=0

x(x+9)=0

x=0 or x=-9

Answer:

x =0  x= -9

Step-by-step explanation:

x^2 + 9x = 0

Factor out x

x(x+9) =0

Using the zero product property

x =0 x+9 =0

x =0  x= -9

Answer:

-10k×2+7

= -20k+7

Step-by-step explanation:

is the answer

Answer:

r=8

Step-by-step explanation:

45=6r-3

48=6r

r=8