35 - 5² + (2 * 5)² x 3

Answer:

x=8

Step-by-step explanation

Vertical angles are always congruent which means they are equal

Since we know this we can simply set the two angle equal to each other so...

5x-5=2x+19

Now what we do is add five to 19 and subtract 2x from 5x to get

3x=24

simply divide 24 by 3 to isolate x and now we have

x=8

Hope this was helpful!

Step-by-step explanation:

of course I need to explain it, since you don't know how to get it. that is the purpose of Brainly. not to be a calculator slave to you, but to enable you to solve similar problems on your own in the future.

both shapes are similar.

that means that

1. both have the same angles

2. there is one common scaling factor for all pairs of corresponding sides (and other lengths as heights, ...).

we need 2. here to solve.

AB / EF = f = 3/2

x = AD

x / EH = f = 3/2

x / 2.4 = 3/2

x = 2.4 × 3/2 = 7.2 / 2 = 3.6

Answer:

A. 36°

Step-by-step explanation:

Given:

m<NST = 15x - 4

m<RSN = 6x

m<RST = 122°

Required:

m<RSN

Solution:

First we need to create an equation to determine the value of x.

Thus:

m<NST + m<RSN = 122° => angle addition postulate

15x - 4 + 6x = 122 (substitution)

Add like terms

21x - 4 = 122

21x - 4 + 4 = 122 + 4

21x = 126

21x/21 = 126/21

x = 6

✔️m<RSN = 6x

Plug in the value of x

m<RSN = 6(6) = 36°

9514 1404 393

Answer:

  (b)  y = -5x

Step-by-step explanation:

When "y varies directly as x" the equation for that is ...

  y = kx . . . . . . . for some constant k

The value of k can be found by solving for it:

  k = y/x . . . . . . divide by x

So, the given point (x, y) = (2, -10) tells you the value of k is ...

  k = -10/2 = -5

and the direct variation equation is ...

  y = -5x

_____

Additional comments

There are a couple of other useful facts about direct variation. When you compare the equation to the slope-intercept form equation for a line, ...

  y = mx + b

you see that b=0 and the slope, or rate of change, (m) is the same as k.

The y-intercept of 0 means that the graph of any direct-variation equation must go through the origin. (If it does not, then the variation is not direct.)

According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.

To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.

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Answer:

He travelled: 1728 miles

Step-by-step explanation:

20.75 * 4 = 83 (Route A miles a week)

33.25 * 4 = 133  (Route B miles a week)

83 + 133 = 216 (Route A + Route B)

216 * 8 = 1728

Answer:

[tex]m = 10\sqrt 3[/tex]

[tex]n = 10[/tex]

Step-by-step explanation:

Required

Find m and n

Considering the given angle, we have:

[tex]\sin(60) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(60) = \frac{m}{20}[/tex]

Make m ths subject

[tex]m = 20 * \sin(60)[/tex]

[tex]\sin(60) =\frac{\sqrt 3}{2}[/tex]

So, we have:

[tex]m = 20 *\frac{\sqrt 3}{2}[/tex]

[tex]m = 10\sqrt 3[/tex]

Considering the given angle again, we have:

[tex]\cos(60) = \frac{Adjacent}{Hypotenuse}[/tex]

This gives:

[tex]\cos(60) = \frac{n}{20}[/tex]

Make n the subject

[tex]n = 20 * \cos(60)[/tex]

[tex]\sin(60) =\frac{1}{2}[/tex]

So, we have:

[tex]n = 20 *\frac{1}{2}[/tex]

[tex]n = 10[/tex]

Answer: C

Step-by-step explanation:

i just took the test of edg2021

The function hat represents the data in the table is :

f(x) = 2x² - 3.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the function that represents the data in the table.

The given table is -

{x}    0    1    2    3    4    5

{y}   -3   -1    1    3     5    7

The function that will be represented by the table will be such that the coordinates of {x} and {y} will be satisfied by that function. The function that satisfy the given coordinates in the table is → y = 2x² - 3. So, it can be concluded that the function that represents the data in the table is : f(x) = 2x² - 3.

Therefore, the function hat represents the data in the table is :

f(x) = 2x² - 3.

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Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.

So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.

Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.

So, it is a rectangular garden.

Now, area = 5⅔ feet × 6⅚ feet

or, area = 17/3 feet × 41/6 feet

or, area = 697 /18 feet²

or, area = 38.72 feet²

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Answer:

84 (:

Step-by-step explanation:

The value of u is given by the equation u = 37°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the sum of total internal angles of a triangle be = 180°

Now , the triangle be ΔABC

The measure of ∠A = u + 4°

The measure of ∠B = u

The measure of ∠C = ( 180° - ( u + 41° ) ) ( angles on a straight line = 180° )

From the triangle theorem ,

u + 4° + u + ( 180° - ( u + 41° ) ) = 180°   be equation (1)

On simplifying the equation , we get

2u + 184° - u - 41° = 180°

u + 143° = 180°

Subtracting 143° on both sides of the equation , we get

u = 37°

Therefore , the value of u is 37°

Hence , the value of u in the triangle is 37°

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Answer:

q = 22

Step-by-step explanation:

Given that,

p and q are inversely proportional to each other i.e.

[tex]p=\dfrac{k}{q}[/tex]

Put p = 11 and q = 18

So,

[tex]11=\dfrac{k}{18}\\\\k=11\times 18\\\\k=198[/tex]

Now put k = 198, p = 9 and find q. So,

[tex]q=\dfrac{k}{p}\\\\q=\dfrac{198}{9}\\\\q=22[/tex]

Hence, the value of q is equal to 22.

Answer:

t is the independent variable of time

Step-by-step explanation:

t is the independent variable of time

The prime factorization of 72 using exponential notation is 2³ x 3².

Prime factorization is a process of writing all numbers as a product of primes.

Given:

Prime factorization is representing a number in form of products of its primes.

Consider the given number 72

72 = 2 x 2 x 2 x 3 x 3

So, 72 can be written as 2 × 2 x 2 × 3 × 3.

Thus, exponential notation it can be written as 2³ x 3².

Also, Simplifying 12 /16 as

= 12/16

= 3/4

and, the equivalent fraction whose denominator is 32.

Then, 3/4 = x/32

4x = 96

x = 24

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Answer: 889.909090909

Step-by-step explanation:

divide

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]

Answer:

S= 76, T= 76, U= 104, R= 104

Y=104, V= 104, X= 76, W= 76

Step-by-step explanation:

Opposite Angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).

U and V are alternating angles

so U and  are 104

i d k the last one am so sorry

Answer:

483

Step-by-step explanation:

A=1/2(a+b)h

A = 96.6

V = A x h

V = 96.6 x 5

V=483

Answer:

So the side with the red square is 90 degrees. Anytime you see that that's what it will be. The inside of the triangle should equal 180 so 90 + 60 is 150. 180-150 = 30

Two side lengths are 90 and 30.

Step-by-step explanation:

If the x and y are pythagorean theorem then a2+b2=c2

If not then y= 120

and x= 150

the outside should equal 360

9514 1404 393

Answer:

  A.  ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

Answer:

Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).

The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.

Answer:

12 bananas

9 apples

18 pears

Step-by-step explanation:

You are tripling the recipe.

10 x 3 = 3

4 x 3 = 12

3 x 3 = 9

6 x 3 = 18