write an equation to find the value of x:

Answer:

Step-by-step explanation:

[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]

Answer:

The intial value is 1.25

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

Answer:  C) CBA ≅ LMN

Step-by-step explanation:

Match up the congruent angles:

∠C = 35°, ∠L = 90° - 55° = 35°     --> ∠C ≡ ∠L

∠B = 90°, ∠M = 90°                     -->  ∠B ≡ ∠M

∠A = 90° - 35° = 55°, ∠N = 55°    --> ∠A ≡ ∠N

The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).

ΔABC ≅ ΔNML

ΔBCA ≅ ΔMLN

ΔCAB ≅ ΔLNM

ΔCBA ≅ ΔLMN

ΔACB ≅ ΔNLM

ΔBAC ≅ΔMNL

Any of these similarity statements can be used!

Answer:

Length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

[tex]\angle XYZ =90^\circ\\\angle YXZ =45^\circ\\\angle ZXY =45^\circ\\\\Hypotenuse, XZ = 18 cm[/tex]

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Putting the values:

[tex]\text{XZ}^{2} = \text{YZ}^{2} + \text{XY}^{2}\\\Rightarrow 18^2 = x^{2} +x^{2} \\\Rightarrow 2x^{2} = 18^2\\\Rightarrow 2x^{2} = 324\\\Rightarrow x^{2} = 162\\\Rightarrow x = \sqrt{2 \times 81}\\\Rightarrow x = 9\sqrt2\ cm[/tex]

So, the length of leg of triangle = [tex]9\sqrt2\ cm[/tex]

Answer:

answer is B    9 root 2 cm

Step-by-step explanation:

got it right on edg 2020-2021

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Explanation:

For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).

The predicted y value is found by plugging x = 3 into the line of best fit equation

y = 5x-2.5

y = 5(3)-2.5

y = 12.5

The residual is the difference between the two y values

e = residual

e = (observed y value) - (predicted y value)

e = 6 - 12.5

e = -6.5

The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.

Answer: y = -3x -3

Step-by-step explanation:

y = mx + b

3x + y = -3

y = -3x -3

Answer:

slope intercept form: y=mx+c

*m = gradient

*c = y-intercept

3x + y = -3

y = -3x - 3

Answer:

m∠A = 135°

m∠C = 135°

Step-by-step explanation:

There are 540° in a pentagon.

You are given 3 90° angles

540-90(3) = 270

∠A and ∠C are congruent

270/2 = 135° each

Answer:

Step-by-step explanation:

If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]

then you subtract 5 minus 3 to be left with a^2 on the numerator

That would be how you would take it away.

Answer: A. 397 miles

Step-by-step explanation:

Add the miles traveled on Saturday and Sunday to find out how many miles were traveled in total.

409 + 239 = 648

Now, subtract the total number of miles traveled from the original distance.

1,045 - 648 = 397

Answer:

397

Step-by-step explanation:

To figure this out, you just minus how much they have already traveled by the total distance they need to travel. To solve it, you can add together 409+239=648. Then, you take 648 and minus that from 1045. And so, 1045-648=397

Answer:

D.  {3, 5, 7}.

Step-by-step explanation:

The range is the set of output values.

It's {3, 5, 7}.

The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.

The range of a set is the values which are coming when we put the values of a set  in a function.

We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.

Hence the range of the set is option D which is {3,5,7}.

Learn more about range at https://brainly.com/question/2264373

#SPJ2

Answer:

8n+7

Step-by-step explanation:

Answer:

The answer is 22 degrees :)

Step-by-step explanation:

So you know that altogether the right angle forms 90 degrees,

if angles <DAC are 68 degrees you would subtract 90 degrees from 68 degrees because you already have the angle measure for i side now you subtract the total angle from the angle measure you know.

90-68=22 degrees

your answer would be 22 degress :)

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]

=> [tex]\frac{6+(-12)}{2-24}[/tex]

=> [tex]\frac{6-12}{-22}[/tex]

=> [tex]\frac{-6}{-22}[/tex]

=> [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5

Answer:

3x+13

Step-by-step explanation:

Perimeter of square = 4 * length

Length = Perimeter/4

Length = (12x + 52)/4

Length = 3x+13

Answer:

2/6 or 1/3

Step-by-step explanation:

There are two numbers who are equal or less than 2 its 1 and 2

And the total is 6 so its 2/6 which is 1/3

Sorry if this is late

Answer:

0.33

Step-by-step explanation:

Hey there! :)

Answer:

First option: As x⇒ ∞ f(x) ⇒ -∞.  As x⇒ -∞ f(x) ⇒ ∞.

Step-by-step explanation:

Rearrange the equation:

f(x) = -x³ - 2x² + 1

This is a negative cubic function. The function decreases over the interval

(-∞, ∞). Therefore:

As x⇒ ∞ f(x) ⇒ -∞.

As x⇒ -∞ f(x) ⇒ ∞.

This is the first option.

Answer: 24 square units

Step-by-step explanation:

The Area of a trapezoid is:

1/2 (a + b) h

Where ;

a = Length of base 1

b = length of base 2

h = height of trapezium

From the diagram attached :

a = Length of BC =(-1 to 3) =4units

b = length of AD =(-3 to 5) = 8 units

h = (-2 to 2) = 4 units

Plugging the values :

Area = 1/2 ((4 + 8)2)

Area = 0.5 × (12) × 4 = 12

Area = 6 × 4 = 24square units

Answer:

In 2013 there were approximately 2.2 million cars for sale.

Step-by-step explanation:

Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:

[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]

Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:

[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]

If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.

[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]

In 2013 there were approximately 2.2 million cars for sale.

Answer:

Yes

Step-by-step explanation:

4/10 = 0.4

4/100 = 0.04

0.4 > 0.04

Therefore the answer is yes

Answer:

Yes See if you get 4 are out of 10 it will be big than 4 out of 100

Step-by-step explanation:

Hope this helps

Answer:

7 km

Step-by-step explanation:

2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.

Answer: 7 km

Step-by-step explanation:

In 1 hour, he did 3 km

In 2 hours, he will do 6 km

20 minutes = 20/60 = 1/3

In 20 minutes, he will do 1/3 x 3 = 1 km

So total distance travelled = 7 km

Answer:

Fraction = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Total Marks = 72

Obtained Marks = 63

Fraction = [tex]\frac{Obtained Marks}{Total Marks}[/tex]

Fraction = [tex]\frac{63}{72}[/tex]

In simplified form

Fraction = [tex]\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

All

Step-by-step explanation:

Whole numbers are numbers 0 to infinity.

Natural numbers are numbers 1 to infinity.

So, your answer is all.

Answer: The expression is (c-7) / 3

Step-by-step explanation:

Let's say Adam has c pieces of candy

He took seven pieces for himself which means we can write this as c-7

He then divided this amount between his 3 children (c-7)/3

Answer:

The area of a circle with a circumference that equals the perimeter of the square is 9.62 units²

Step-by-step explanation:

The first thing we must do is find the perimeter of the square. In the problem, we are given that one of the side measurements of the square is 2.75 units. In order to find the perimeter of this square, we must multiply 2.75 by 4 because a square has four equal side measurements.

2.75 × 4 = 11

So, the perimeter of the square is 11 units. This number will also be the number for the circumference of the circle as mentioned in the problem. So, the circumference of the circle is 11 units. Now, we must find the radius of the circle so we can find the area. Let's use the formula for finding radius given the circumference.

[tex]Radius = \frac{circumference}{2\pi}[/tex]

Now, let;s plug in 11 for the circumference because our circumference is 11 units.

[tex]Radius=\frac{11}{2\pi}[/tex]

Multiply 2 by pi. We will use 3.14 in replacement of pi.

[tex]Radius=\frac{11}{6.28}[/tex]

Now, divide.

[tex]Radius=1.75[/tex]

So, our radius is 1.75 units. We can know use this number to find the area of the circle.

[tex]Area=r^2\pi[/tex]

Plug in 1.75 for the radius.

[tex]Area=(1.75)^2\pi[/tex]

Simplify the exponent.

[tex]Area=(3.0625)\pi[/tex]

Multiply the numbers.

[tex]Area=9.61625[/tex]

Lastly, we round this number to the nearest hundredth as it is asked of us in the problem.

9.61625 = 9.62

So, the area of the circle is 9.62 units²

Answer:

9.62

Step-by-step explanation:

Got it on the test

Answer: x = - 10

Step-by-step explanation:

a) Linear Pair: 138 + ∠a = 180°     --> ∠a = 42°

b) Triangle Sum Theorem: ∠a + 2∠b = 180°   --> ∠b = 69°

c) Vertical Angles Theorem: ∠b = ∠c     --> ∠c = 69°

d) Congruent sides implies congruent angles: ∠c = ∠d   --> ∠d = 69°

∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°

                                            69° + 69° + ∠2 = 180°

                                                               ∠2 = 42

x) m∠2 = 42

  x + 52 = 42

  x          = -10

Answer:

16 for Sol A and 24 for Sol B

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 40        y = 40 - x

.60x + .85y = .75(40)

.60x + .85y = 30      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 3000

60x + 85(40 - x) = 3000

60x + 3400 - 85x = 3000

-25x = -400

x = 16 ounces

y = 40 - 16

y = 24 ounces          

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.

We are given that it traveled 300 kilometres after 3 hours. So, we have...

[tex]300=3(x+30)[/tex]

[tex]100=x+30[/tex]

[tex]x=70[/tex]

Answer:

y≤ 2/3x+1/5

Step-by-step explanation:

y≤ 2/3x+1/5