The triangles below are similar. Find the measure of ∠B and ∠F

Answer:

The value of x is 4.

Step-by-step explanation:

The perimeter of the triangle is the sum of the lengths of all its sides.

The perimeter of the rectangle is twice the sum of the length and the width.

base of triangle = x

two equal sides = x + 5

length of rectangle = x - 1

width of rectangle = x + 4

According to the question,

Perimeter of triangle = perimeter of rectangle

x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)

3 x + 10 = 2 (2 x + 3 )

3 x + 10 = 4 x + 6

4 x - 3 x = 10 - 6

x = 4

Answer:

f(2)f(2) = 49

Step-by-step explanation:

Note that f(2)f(2) is the same as [f(2)]^2.

If f(x) = 5x - 3, then f(2) = 5(2) - 3, or f(2) = 7, and so:

f(2)f(2) = [f(2)]^2 = 7^2 = 49

Thus, f(2)f(2) = 49

Answer:

[tex]\text{A. The zeroes are 8 and -4, because }y=(x-8)(x+4)[/tex]

Step-by-step explanation:

[tex]x^2-4x-32=0,\\(x-8)(x+4)=0,\\\begin{cases}x-8=0, x=\boxed{8},\\x+4=0, x=\boxed{-4}\end{cases}[/tex]

Answer:

[tex]cos(\alpha)=\frac{3}{5}=0.6[/tex]

[tex]cosec(\alpha)=\frac{5}{4}=1.25[/tex]

Step-by-step explanation:

El cos(α) se define como el cociente entre el cateto adyacente y la hipotenusa.

El valor del cateto adyacente en nuestgro caso es CA = 3.

La hipotenusa se calcual de la siguiente manera:

[tex]h=\sqrt{3^2+4^2}=5[/tex]

Por lo tanto, el cos(α) sera:

[tex]cos(\alpha)=\frac{3}{5}=0.6[/tex]

El cosec(α)=h/CO.

El cateto opuesto CO = 4 y la hipotenusa h = 5

Por lo tanto, el cosec(α) sera:

[tex]cosec(\alpha)=\frac{5}{4}=1.25[/tex]

Espero te haya sido de ayuda!

The magnitude of rotational symmetry of the regular octagon below the marked point is 45°, so option A is correct.

Eight sides, eight internal angles, and eight vertices are the characteristics of an octagon. An octagon is referred to as being regular if all of its sides and angles have the same measurements.

Given:

From the figure, the lengths of the side of the octagon are equal,

So the angle will also be equal,

And we know that octagon has 8 interior angles and their sum is 360 degrees.

Now for measure of one angle = 360° / 8 = 45°,

Therefore, the magnitude of rotational symmetry of the regular octagon below the marked point is 45°.

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Answer: A $6

Step-by-step explanation:

Let x = price per child ticket, y= price per senior ticket.

As per given, we have

5x+12y=102  (i)

12x+14y=156  (ii)

From (i), we have

[tex]x=\dfrac{102-12y}{5}[/tex]   (iii)

Put value of x in (ii), we get

[tex]12(\dfrac{102-12y}{5})+14y=156\\\\\\ \dfrac{1224-74y}{5}=156\\\\\\1224-74y=5\times156\\\\\\ 1224-74y=780\\\\\\ 74y=1224-780\\\\\\ 74y=444\\\\ y=\dfrac{444}{74}\\\\\\ y=6[/tex]

Hence, the price of senior ticket = $6

Thus the correct option is A.

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

The value of the  f(12) is equal to -46 where the expression is

f(n) = -3n + 2.

Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.

Here, f(n)= -3n + 2 is the given expression.

So, we can find the value of f(12) by putting n=12 in f(n).

Put n=12 in f(n), we get

          f(12)= (-3)×12 + 2

                 = -48 + 2

                 = -46

Hence, the value of f(12) is -46.

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1 min = 60 seconds

1 hour = 60 mins = 60 x 60 = 3600 seconds .

Answer:

are u solving for  x  if so then

x=7

Step-by-step explanation:

hope this helps ...brainliest please!

Answer:

25 hamburgers

Step-by-step explanation:

Kate is making hamburgers for her friends and has 8 1/3 pounds of hamburger. How many 1/3-pound hamburgers can she make

Solution:

Given that Kate has 8 1/3 pounds of hamburger and she wants to make various hamburgers of 1/3 pound each. To determine the number of hamburgers she can make, we just have to divide the pounds of hamburger (8 1/3 pounds) by the 1/3 pounds.

8 1/3 pounds = [(8*3) + 1] / 3 = (24 + 1) / 3 = 25/3 pounds of hamburger

Therefore:

Number of hamburgers she can make = (25/3 pounds) / (1/3 pound) = 25 hamburgers

Answer:

0.98

Step-by-step explanation:

0.982,0.98()2 (round up if 5+ down 4-) 0.98

The number 0.982 rounded of to two decimal places will be 0.98.

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

The digit 5 acts as a limit.

if the right-sided digit to the digit where we've to round off is < 5, we keep it the same and make all right-sided values 0, and if the right-sided digit is > 5, then we make it increase by 1, and the rest of the right-sided digits become 0. If the digit on right is 5, and after it, there are only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

Since the given number is 0.982, and in this number the thousandth place is taken by 2, therefore, the number when rounded off will be equal to 0.98.

Hence, the number 0.982 rounded of to two decimal places will be 0.98.

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Answer:

Step-by-step explanation:

(a + b)(a - b) = a² - b²

[tex](7 + 4\sqrt{3}) (7 - 4\sqrt{3}) = 7^{2}-(4\sqrt{3} )^{2}\\\\ = 49 - 4^{2}*(\sqrt{3})^{2}\\\\= 49 - 16 * 3\\\\= 49 - 48\\\\= 1[/tex]

[tex]\boxed{1}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](7 + 4 \sqrt{3} ) \: (7 - 4 \sqrt{3} ) \\ \\ = 7 \: (7 - 4 \sqrt{3} ) + 4 \sqrt{3} (7 - 4 \sqrt{3} ) \\ \\ = 49 - 28 \sqrt{3} + 28 \sqrt{3} - 48 \: (since \: \sqrt{3} \times \sqrt{3} = 3)\\ \\ = 49 - 48 \\ \\ = 1[/tex]

You can also use the identity:

( a + b ) ( a - b ) = [tex] {a}^{2} - {b}^{2}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

The maximum is -3

Step-by-step explanation:

A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.

The vertex of the equation is (-7,-3)

So, the maximum y value is -3

Answer:

1185 10/30 square feet

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length = 25 2/5 feet

width = 46 4/6

Substitute into the formula;

Area = 25 2/5 * 46 4/6

Area = 127/5 * 280/6

Area = 35,560/30

Area = 1185 10/30

Hence the area of the rectangle is 1185 10/30 square feet

Answer:

( 5x + 7 ) ²

Step-by-step explanation:

25 x ² + 70 x + 49

Identity Used

= 25 x ² + 35 x + 35 x + 49

= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)

= ( 5x + 7 )

More to know about Algebraic Identities :-

Answer:

(5x + 7)2.

The expression is in the form a2x2 + 2abx + b2, where a = 5 and b = 7.

Thus, it can be factored as a perfect square trinomial.

Answer:

Syllogism, or C.

1,000,000

100 * 100 * 100

100^3

1,000^2

10,000 * 100

10^4 * 10^2

10^3* 10^3

10^5 * 10

1,000 * 1,000

100,000 * 10

400,000 * 2.5

500,000 * 2

250,000 * 4

200,000 * 5

10 * 10 * 10 * 10 * 10 * 10

10^3 * 10 * 10^2

10^4 * 10 * 10

10^7 / 10

10^10 / 10^4

I DON'T WANT TO WRITE MORE

The solution is: the expressions as we can that have the same value as 10 to the 6 power , using exponents and multiplication are given below.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

10 to the 6 power

i.e. 10^6

now, using exponents and multiplication the expressions as we can that have the same value as 10 to the 6 power are:

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Answer:

.25

Step-by-step explanation:

you divide 1 by 4 which equals .25

Answer:

1/4 as a number is 0.25

Step-by-step explanation:

Divide 1 by 4 = 0.25

Answer:

3,16,729

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

The polygon that contains 4 sides is known as the quadrilateral

Also there are 6 types of quadrilateral that are as follows;

a. The rectangle has 2 pairs of opposite sides & 4 sides of the interior angles

b. The square contains the 4 congruent sides & 4 right interior angles

c. The parallelogram has 2 pairs of opposite sides that are parallel & congruent and 2 pairs of angles that are opposite & congruent

d. The rhombus contains the 4 congruent sides and angles

e. The trapezium contains the one pair of parallel sides

f. The kite contains the two pairs of sides that are congruent adjacent

Answer:

Part A

median: 7, third quartile: 15, first quartile: 3, units: years

Part B

image doesn't show whole question

Step-by-step explanation:

2,2,4,7,7,14,16,18

2,2,4,(7\/7),14,16,18

2,2\/4,7\/7,14\/16,18

Answer:'

-9.7 minus, in 13

Step-by-step explanation:

Answer:

2x-4

Step-by-step explanation:

2x-4

mx+b format

Answer:

left handed = 7 ; right handed = 12

Step-by-step explanation:

r = right handed

l = left handed

r + l = 19

r = l + 5

If we use substitution method we have:

l +5 + l = 19

2 l = 14

l = 7

r = 7 + 5 = 12

Answers:

The system of equations is

[tex]\begin{cases}y = x-5\\x+y = 19\end{cases}[/tex]

where x and y is the number of right-handed and left-handed people respectively.

The system solves to (x,y) = (12,7)

Interpretation:

There are  12   right-handed people and  7   left-handed people in the class.

=========================================================

Explanation:

x = number of right-handed people

y = number of left-handed people

x and y are positive whole numbers.

There are 5 more right-handed people compared to left-handed people, so we can say x = y+5 which is the same as y = x-5. So you could go for either equation. Let's go for the one where y is isolated.

The second equation to form is x+y = 19 because there are 19 people in the class, and you can only be one or the other (left-handed or right-handed but not both). I'm not considering the possibility anyone is ambidextrous though of course that may happen in a realistic setting.

The two equations then form the system

[tex]\begin{cases}y = x-5\\x+y = 19\end{cases}[/tex]

There are a number of ways we can solve this system. Substitution is possibly the quickest way.

x+y = 19

x+(x-5) = 19 ... replace y with x-5; due to the first equation

2x-5 = 19

2x = 19+5

2x = 24

x = 24/2

x = 12 .... this is the number of right-handed people

y = x-5

y = 12-5

y = 7 .... this is the number of left-handed people

It's A.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Answer:

God knows. But I guess if you have iphone x and after it shouldn't take so long. I have iphone 12 pro max and it works flawlessly.

Answer:

I don't know but I've been thinking the same thing

Answer:

n

Step-by-step explanation: