In the diagram below, angle BAC = 34°.
Find the following angles, giving reasons for your answers.
a) angle ABC
b) angle BCA​

Answer: C

Step-by-step explanation:

You are given a graph which is defined by f(x)=x^2+5|x|+6

Where the intercept of the graph is 6

Since the equation of the graph has a modulus 5|x|. Which can be span to the negative x component and positive x component, the root of the quadratic function will both be at negative x component and positive x component.

Which are 2 and 3 or -2 and -3

Option C is therefore the best graph for the answer to the question.

Answer:

4

Step-by-step explanation:

Given

-5, -20, -80, .....

Required

Determine the common ratio

The common ratio of a sequence is determined by dividing a term by its immediate previous term;

Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r

From the analysis above;

[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]

Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]

[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]

[tex]r = 4\ or\ r = 4[/tex]

Both values of r are the same;

Hence, the common ratio of the sequence is 4

Answer:

D  The IQR for town A is less than the IQR for town B

Step-by-step explanation:

A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)

Answer: B

Step-by-step explanation:

(4/3) x 3.14 x 3.7^3

Plug into a calculator

212.067

Brainliest would be appericiated!

Answer:

(5, 2)

Step-by-step explanation:

As 8x = 40

x = 40÷8

x = 5

This is the first solution

Then 4x + 4y = 28

We know that x = 5 as above

So let's substitute it:

4x + 4y = 28

(4 × 5) + 4y = 28

20 + 4y = 28

Let's get the 20 to other side

20 - 20 + 4y = 28 - 20

4y = 8

y = 8 ÷ 4

y = 2

Hence we get these two solutions

(5,2)

:-)

Answer:

x = √3

y = 1

Step-by-step explanation:

The side x, the hypotenuse 2 and the 60 degree angle are related as follows:

                                 x

sin 60 degrees = ----------

                                  2

and so side x is equal to  2 sin 60 degrees, or 2( (√3)/2), or √3.

By the Pythagorean Theorem, x^2 + y^2 = 2^2, or

                                                     3   + y^2 = 4, and so

                                                              y^2 = 1

so side y has length 1

x = √3

y = 1

Answer:

translation

Step-by-step explanation:

Answer:

Hello!

~~~~~~~~~~~~~~~

3^x+x³=17

=  x = 2

Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.

Hope this helped you! Brainliest would be nice! ❤︎

Answer:

A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.

Step-by-step explanation:

A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.

A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.

The only thing these shapes have in common is that they both have two pairs of parallel sides.

Answer:

C: 2 pairs of parallel side

Step-by-step explanation:

I got it correct in a quiz I did that had this question.

Kindness- skinned, sinned, kissed, skeins, skies, sides, kind, kinds, end 86 words

Digit- dig, it 8

Mathematician- titanic, intact, manic, cat, math, … 346

Answer:

digit: 60

kindness: 10080

mathematician: 129729600

Step-by-step explanation:

sorry if this isn't right, and sorry I don't have an explanation but this worked for me.

Answer:

hope dis help ;_;

Step-by-step explanation:

It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).

But nobody wants to do that repetitive computation. If we factor out the (.1),

we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.

We really need a formula for big numbers though. The short cut for adding a series

of numbers is to find the average of the first and last numbers and multiply by how

many there are in the list:

(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465

465(.1) = $46.50

The money that Heather will save at the end of 30 days will be 465.

What is arithmetic progression?

Arithmetic progression is a sequence of numbers with a common difference. It is given by,

aₙ = a₁ + (n - 1)d

Where,

aₙ  = the nᵗʰ term in the sequence

d = common difference

a₁ = first term

Now,

We have,

Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.

So,

Money saved on the first day = 1

And,

Money save on 30 day = 30  

So,

Using the sum of Arithmetic progression formula,

Sₙ = n/2 [ a + l ]

where,

n = 30

a = first term = 1

l = last term = 30

Now,

Sₙ = n/2 [ a + l ]

Sₙ = 30/2 [ 1 + 30]

Sₙ =15 × 31

Sₙ = 465

So, money saved at the end of 30 days = 465

Hence we can say that the money that Heather will save at the end of 30 days will be 465.

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Answer:

-10a - b + 0.1c

Step-by-step explanation:

We can distribute the -0.1 to 100a, 10b and -c.

-10a - b + 0.1c

That's all!

Hope this helps

Answer: -10a - b + 0.1c

Step-by-step explanation:

simplify 0.1 * 10b * -c

10a - b - 0.1 * -c

regroup terms.

-10a - b - ( - 0.1 * c )

remove parentheses

-10a - b + 0.1 * c

Answer:

17.5

Step-by-step explanation:

A = [tex]\frac{pq}{2}[/tex]

p = 7

q = 5

7 x 5 = 35

35 ÷ 2 = 17.5

Answer:

The correct answer is 70 square units I took the test and got it right! Good luck! God bless you!

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

First, you need to find the slope of the given line.  You can do this by rearranging the equation so that it is  in slope-intercept form (y = mx + b).

-8x - 5y = -7

-5y = 8x - 7

y = -8/5x + 7/5

The slope of this line is -8/5.  

The slope of a line that is perpendicular will be the negative reciprocal.  You have to change the sign, and basically flip the numerator upside down.  The slope of the perpendicular line will be 5/8

-8/5 = 8/5 = 5/8

The slope of a line that is parallel will be equal.  This means that the slope will be -8/5.

we also need the vertical distance between the original spot and the ground to solve this,

Answer:

tan 35° = \frac{4m}{r}

Step-by-step explanation:

Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg

Answer:

20 days

Step-by-step explanation:

t = time required by one worker to complete the job alone

(t+8) = time required by the other worker

So:

7.5/ t + 7.5/ (t + 8) = 1

Solve for t.

...

t = 12 days, the first guy working alone

The other worker would finish the job in 20 days.

Answer:

7 days and 17 days

Step-by-step explanation:

We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.

Hope this helps! Plz give me brainliest, it will help me achieve my next rank.

oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy

Answer:

false; you divide the NUMERATOR by the denominator.

Answer:

B.) False

Step-by-step explanation:

A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.

Hope this helps you out! : )

The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.

A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:

Regular polygon cannot overlap.

Regular polygon cannot have space between them.

The patterns are created by rotating, translating, or reflecting the shapes.

Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.

Learn more about regular tessellation here:

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Answer:

64

Step-by-step explanation:

4/7

16x7= 112

4x16=64

Answer:

15

Step-by-step explanation:

In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.

Therefore, by geometric mean property, we have:

[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]

Answer:

Solution,

y=40°

now,

[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

f^-1(x) is - (x -3)/15

Step-by-step explanation:

f(x) = -15x + 3

To find f^-1(x) equate f(x) to y

That's

y = f(x)

Which is

y = -15x + 3

Next interchange the terms x becomes y and y becomes x

That's

x = - 15y + 3

Make y the subject

We have

-15y = x - 3

Divide both sides by - 15

We get

y = x-3/-15

y = - x - 3/15

Therefore f^-1(x) is - (x -3)/15

Hope this helps you

Answer:

I believe it is 12

I'm not 100% sure but if its right let me know

Sry if its not :/

I'm sorry it took this lobg

Answer: it’s b

Step-by-step explanation:

Answer: C) 52.8 and 88

Step-by-step explanation:

Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88.  Thus the answer is C.

Hope it helps <3

Answer:

Third Choice 52.8 cm by 88 cm

Step-by-step explanation:

Multiply each dimension by the scale factor.

24 cm * 2.2 = 52.8 cm

40 cm * 2.2 = 88 cm

Answer:

Answer:

1.6 < x < 9.6

Step-by-step explanation:

The smallest the third side can be is greater than the difference of the other two sides

x > 5.6 -4

x > 1.6

The largest the third side can be is  less than the sum of the other two sides

x < 5.6 +4

x < 9.6

1.6 < x < 9.6

Answer:

False.

Step-by-step explanation:

Just look at them. They aren't even similar.

A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the  measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.

Hence, the given statement is false.

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Answer:

-6

Step-by-step explanation:

Answer:

8/5x + 5 = -19

8/5x = -24 (Subtract 5)

x = -15 (Multiply by 5/8)