Mathematics High School

Find the x in the figure. Assume a and b are parallel

Answers

Answer 1

Answer:

x = 15

Step-by-step explanation:

(4x - 30) and (2x) are alternate angles and are congruent , then

4x - 30 = 2x ( subtract 2x from both sides )

2x - 30 = 0 ( add 30 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Related Questions

Which equations are true equations?

Select all correct answers.

24/2^2=50−62−8

56÷8+32=2⋅23

82−52=42−7

39−3⋅6=6⋅104+4

Answers

Answer: 24/2^2=50−62−8

Step-by-step explanation:

The equations which is true equation is 24/2² = 50−6²−8.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. 24/2² = 50−6²−8

LHS = 24/2² = 24/4 = 6

RHS = 50−6²−8 = 6

2. 56÷8+32=2⋅23

LHS = 56÷8+32 = 7 + 32 = 39

RHS = 2⋅23 = 46

3. 8²−5² =4²−7

LHS = 8²−5² = 39

RHS = 4²−7 = 21

4. 39−3⋅6=6⋅104+4

LHS = 39−3⋅6 = 35.4

RHS = 6⋅104+4 = 528

Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.

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K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm

Answers

Answer:

2(3×2)+2(3×1.5)+2(1.5×3)

Step-by-step explanation:

12+9+9

Answer:

30cm square

Step-by-step explanation:

2(3×2)+2(3×1.5)+2(1.5×3)

2[3×2+3×1.5+1.5×3]

2(6+4.5+4.5)

2×15

Help meee please thank you will mark brainlist….

Answers

Answer:

It's 47 because it's an isosceles triangle.

Step-by-step explanation:

Answer:

F is equal to 47

Step-by-step explanation:

G is equal to F

what is 1,625 if you write it as a mathematical fraction?

Answers

Answer:

there are lots of ways. some of them are

1625/2, 3250/2, 4875/3........

how to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1

Answers

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

1. x^2 + 6x + 8 = 0

2. x^2 + 10x + 21 + 0

3. X^2 + 9x + 18 = 0

Answers

Answer:

545256

Step-by-step explanation:

7. I am currently 5 times as old as my daughter. In 6 years from now. I will be three times as old she will be then. Find our current ages.

i will mark that answer as brainlist who's answer was correct and can send me ASAP

Answers

Answer:

Daughter is 6 , mother is 30.

Step-by-step explanation:

What was the percent decrease? 2% 14% 16% 7%

Answers

Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation:

solve: 8+ x/2= 1/4 (x-4)-1
A. X = -40
B. X = 40
C. There are infinitely many solutions.
D. X = -24

Answers

|3x+1|=4 : x=−
5
3 or x=1
Pasos
|3x+1|=4
Aplicar las propiedades de los valores absolutos: Pi |u| = a, a>0 entonces u = a or u = −a
3x+1=−4 or 3x+1=4
Mostrar pasos
3x+1=−4 or 3x+1=4

How to make the mark of degree on the calculator ??

Answers

Answer:

most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator

Evaluate.

−[4.1−3(2.2)](−0.2)2+2

What is the value of the expression?

Enter your answer as a decimal in the box.

Answers

64.5

Explanation:

-(4.1-3(2.2))=2.5

2.5÷(-0.2)^2=62.5

62.5+2=64.5

THEREFORE

the answer is 64.5

The solution of the mathematical expressions will be 64.5

What is Number system?

A system of writing to express the number is called number system.

Given that;

The mathematical expressions are,

⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2

Now,

Solve the expression as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2

Using the BODMAS rule to solve the expressions as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2

⇒ - [ 4.1 - 6.6 ] / (-0.2)² + 2

⇒ - [-2.5] / (-0.2)² + 2

⇒ 2.5 / 0.04 + 2

⇒ 62.5 + 2

⇒ 64.5

Therefore,

The solution of the mathematical expressions will be 64.5

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my homework:
Write two expressions that will never return the same
output. Use x as the variable in each expression.

my way of saying it:
write 2 equations with x included that will never equal the same thing no matter what x is

Answers

Answer:

x² * -1/2,

x² + 3

Step-by-step explanation:

The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.

Two expressions that will never return the same output are 2x - 1 and 2x - 3

How to determine the expressions?

Assume the expressions are linear functions

A linear function is represented as:

y = mx + c

For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts

Take for instance 2x - 1 and 2x - 3

Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3

Answers

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]

Step 2: Subtract 125 from both sides.

[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]

Therefore, d = 55.

Please help! With steps included :)

Answers

Answer:

Answers

Answer:

Between 3 and 4 hours

Step-by-step explanation:

Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:

[tex]45x+60y=360[/tex]

Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:

(see picture)

Since both trucks left the warehouses at the same time, we need that: [tex]x=y[/tex]

And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.

I hope this helps.

PLS HELP I WILL MARK BRAINLIEST!!! IT IS NOT 72

Answers

Answer:

Step-by-step explanation:

Answer:

I believe it's 56

Hope this helps

Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.

The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.

a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.

b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.

Answers

Answer:

Step-by-step explanation:

a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?

Answers

Step-by-step explanation:

Given,

3 coffee + 2 muffins = $7

and

2 coffees + 4 muffins = $8

let the coffee be x and muffins be y.

so now, we got

3x + 2y = $7 -----------(eqⁿ 1)

2x + 4y = $8 -------------(eqⁿ 2)

multiply (eqⁿ 1) by 2

we got,

2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)

now, subtract (eqⁿ 2) from (eqⁿ 3)

we got,

(6x - 4y = $14) - (2x + 4y = $8)

we got,

4x = $6

x = 6/4 = $1.5

to get value of y put the value of x in eqⁿ2

we got,

→ 2(1.5) + 4y = $8

→ 3 + 4y = 8

→ 4y = 8 - 3 = 5

→ y = 5/4 = $1.25

hence,

value of one coffee = $1.5

value of one muffin = $1.25

Hope this answer helps you dear! take care!.

Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =

Answers

Answer:

−

re written: 10x2−x−16

Step-by-step explanation:

Answer:

The simplified answer is [tex]10x^2-x-16[/tex]

Step-by-step explanation:

[tex]2x+6x^2-10+4x^2-3x-6[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]

[tex]= 10x^2+-x+-16[/tex]

As a final result, the answer is [tex]10x^2+-x+-16[/tex].

Therefore, [tex]10x^2+-x+-16[/tex] is the answer.

Hope this helps!

Have a nice day/night/afternoon.

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

The diameter of a circle is 8 mm. What is the circumference of the circle?

Answers

Answer:

C=22÷7×8

=3.14×8

=25.12

The diagram shows a map of three land masses, numbered region 1, region 2, and region 3, connected via bridges over water. Each bridge can be traversed in either direction. (diagram is attached)

Show that there are 10 walking routes that start and end in region 2, crossing over water exactly twice. Assume each bridge, when crossed, is fully traversed to the next land mass.

Answers

Answer:

Explanation

Step-by-step explanation:

If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.

R, P, Q act on the base AB, BC, CA triangles ABC in alphabetical order, respectively. Show that P sec A + Q sec B + R sec C = 0, if the fluid of this power system passes through the center of the triangle.

Answers

Answer:

(i) In △ABD and △ACD,

AB=AC ....(since △ABC is isosceles)

AD=AD ....(common side)

BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP,

AB=AC ...(since △ABC is isosceles)

AP=AP ...(common side)

∠BAP=∠PAC ....from (i)

△ABP≅△ACP .... SAS test of congruence

∴BP=PC ...[c.s.c.t].....(ii)

∠APB=∠APC ....c.a.c.t.

(iii) Since △ABD≅△ACD

∠BAD=∠CAD ....from (i)

So, AD bisects ∠A

i.e. AP bisects∠A.....(iii)

In △BDP and △CDP,

DP=DP ...common side

BP=PC ...from (ii)

BD=CD ...(since △BDC is isosceles)

△BDP≅△CDP ....SSS test of congruence

∴∠BDP=∠CDP ....c.a.c.t.

∴ DP bisects∠D

So, AP bisects ∠D ....(iv)

From (iii) and (iv),

AP bisects ∠A as well as ∠D.

(iv) We know that

∠APB+∠APC=180

∘

....(angles in linear pair)

Also, ∠APB=∠APC ...from (ii)

∴∠APB=∠APC=

180

∘

=90

∘

BP=PC and ∠APB=∠APC=90

∘

Hence, AP is perpendicular bisector of

Step-by-step explanation:

HOPE ITS HELP YOU

what kind of wave is shown

Answers

Answer:

longitudinal

Step-by-step explanation:

Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts for 11 months. She must also pay $3 interest each month. What is her monthly payment, including interest?

Answers

660/11= 60+3= 63
her monthly pay would be $63

You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.
The probability is

Answers

Answer:

1/4

Step-by-step explanation:

Please Help Me please

Answers

Answer:

the 3 one

Step-by-step explanation:

Maya’s bird feeder holds 1/2 of a cup of bird seed. Maya is filling the feeder with a scoop that hold 1/6 of a cup of birdseed how many scoops will maya put into the feeder

Answers

Answer:

3 scoops

Step-by-step explanation:

If the bird feeder holds 1/2 cup, and Maya is filling it with a scoop that holds 1/6 cup of birdseed, then Maya will need 3 scoops of the 1/6 cup scoop.

1/6 + 1/6 + 1/6

= 3/6

= 1/2

Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.

Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis

Answers

The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

What is reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.

So, the △A'B'C' is:

△ABC:

A (4,1)B (−2,3)C (−1,1)

Now, Translation: (x,y)→(x+2,y+1) (

(x: axis is the line of reflection)

△A'B'C'

A' (6, -2)B' (-4, -4)C' (-3, -2)

Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

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can y’all please help me out

Answers

Step-by-step explanation:

x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5

- x⁴ + x³ - 3x²

-------------------------

0 3x³ - 2x² + x - 3

- 3x³ + 3x² - 9x

-------------------------------

0 - 5x² + 10x - 3

- - 5x² - 5x + 15

-------------------------------------

0 15x - 18

the result is therefore

x² + 3x - 5 + (15x - 18)/(x² + x - 3)

Solve for a.
4(a +3) = 12 + 40
=
-3
-1
no solution
all real numbers

Answers

Answer: All real numbers.

Step-by-step explanation:

4(a+3) = 12 + 4a

4a + 12 = 12 + 4a

Any value of a will work in this equation, since it is a simple identity. 4a + 12 will always equal 4a + 12, regardless of a.

All real numbers, although I don't know why imaginary numbers wouldn't also work.

ANSWER:
All reall numbers

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