Determine the value of x in the diagram.
96°
X
84°
96°

Answer:

1.   y = -10x - 5

2.  [tex]y = \frac{9}{5}x - 4[/tex]

3.  [tex]y = -\frac{5}{4}x + 5[/tex]

4. y = 7x + 5

Step-by-step explanation:

use y = mx + b

m = slope

b = y-intercept

1. Slope= -10, y- intercept = -5

   y = -10x - 5

2. Slope= - 9/5, y- intercept = -4

   [tex]y = \frac{9}{5}x - 4[/tex]

3. Slope= -5/4, y- intercept = 5

    [tex]y = -\frac{5}{4}x + 5[/tex]

4. Slope= 7, y- intercept = 5

    y = 7x + 5

Answer:

6:8:10

Step-by-step explanation:

Answer:

22.5 feet.

Step-by-step explanation:

Volume = length * height + width, so:

3510 = 13 * 12 * width

So width = 3510 / (13*12)

= 22.5 feet.

Answer:

to find the value of c, isolate it.

28 + c = 36

c = 36 - 28

c = 8

now, to check:

28 + 8 = 36 ✓

Answer:

The answer is 8.3 W + 17.4

If you click on the image it will show you how to solve the equation and I hope this helps you.

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16

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Explanation:

Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.

This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.

To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.

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Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.

Answer:

-38

Step-by-step explanation:

Answer:

z = 17.5

Step-by-step explanation:

To get the value of z, we use the bisector theorem

7/z = 6/15

6z = 7 * 15

6z = 105

z = 105/6

z = 17.5

Answer:

An linear equation in one variable

Step-by-step explanation:

Variable:h

Equation:6h+19

Answer:

when you have something like f(x)=... that means

f means function

and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2

Answer and explanation:

A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc

An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc

Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:

1/2+3/1= 1+6/2=7/2=2 1/2

When adding intergers 2+4, we add normally as in the number line = 6

Answer:

Step-by-step explanation:

f(-5) = (-5)^2 + 3(-5) - 21

= 25 - 15 - 21

= -11

Answer:

11

Step-by-step explanation:

) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.

Answer:

12/7

Step-by-step explanation:

[tex]6=\frac{6}{1} \\\frac{6}{1}*\frac{2}{7}=\frac{12}{7}[/tex]

When you multiply fractions you multiply straight accross

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

[tex]d^2 = l^2 + l^2[/tex]

[tex]d^2 = 2l^2[/tex]

Take positive square root of both sides

[tex]d = \sqrt{2l^2}[/tex]

Split:

[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]

[tex]d = \sqrt{2} *l[/tex]

Recall that the side length (l) is rational.

However, [tex]\sqrt 2[/tex] is irrational.

So, the product of l and [tex]\sqrt 2[/tex] will be irrational

Hence:

The diagonal is irrational

Answer:

7

Step-by-step explanation:

Answer:

A = 7

Step-by-step explanation:

You would take -42/-6 because that will tell you what x -6=-42

-42/-6 = 7

Also. you have to remember that a negative divided or multiplied by a negative = a positive

Answer:

the second one

Step-by-step explanation:

if it is right pls mark brainliest thanks :)

Answer:

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3

Answer:

The other angles can be 56°, 68°, or 62°.

Step-by-step explanation:

If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°

If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.

The other angles can be 56°, 68°, or 62°.

Answer:

[tex] \frac{ \sqrt{10} }{5} [/tex]

or .632

Step-by-step explanation:

You have the beginning right.

However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.

Answer:

x= √(10/25)

Step-by-step explanation:

From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.

Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).

Answer:

the area is 110. the formula for a trapezoid is A= a+b/2 × h.

A= a+b/2 ×h= A= 9+13/2×10=110

Use this and explain yourself

Answer:

x = -1

y = -2

Step-by-step explanation:

5x + 2y = -9      2y = -9 - 5x      y=(-9-5x)/2

3x + 4y = -11

3x+4[(-9-5x)/2] = -11

3x+( -36-20x)/2 = -11

3x-18-10x = -11

-7x = 7

x = -1

y = -2

Answer:

x = −1 and y = −2

Step-by-step explanation:

Utilicé sustitución.

Mire las imágenes para obtener una explicación paso a paso.

Answer:

one thousand three hundred twenty inches

Answer:

The answer is "Ratio".

Step-by-step explanation:

A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.

It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.

Answer:

10p-40 = 10(p-4) this is the answer of this question

Answer:

0.75 ;

150

Step-by-step explanation:

Probability of rolling two even numbers :

{1, 2, 3, 4, 5, 6}

P(even) = 3 / 6 = 1/2

From a roll of 2 dice :

P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25

P(not even) = 1 - 1/4 = 3/4

X : ____ 6 _______ - 1

P(x) ____ 0.25 ____ 0.75

Expected value :

Σx*p(x) = (6*0.25) + (-1 * 0.75)

= 1.50 - 0.75

= 0.75

If 200 games are played :, n = 200

Expected value * n

0.75 * 200

= 150

Answer:

[tex]d=\frac{2}{5}[/tex]

Step-by-step explanation:

-10 (d+1) = -14

-10d -10 = -14

-10d = -14 + 10

-10d = -4

d = 4/10

d= 2/5

Answer:

Step-by-step explanation:

They give you the equation, you must substitute the x values into the equation to find the y values.

Example on top equation:

y=-5x so the y values would be

y=-5(-1)=5

y=-5(0)=0

y=-5(1)=-5

y=-5(2)=-10