Write the given expanded form into the standard form of a number.

4
4
T-Th + 5
+

5
T + 1
+

1
H-Th + 9
+

9
O + 3
+

3
M + 7
+

7
Th

Step-by-step explanation:

An equilateral triangle means all sides are congruent.

AB≅BC≅AC

All angles are also congruent.

∠ABC≅∠BCA≅∠CAB

AD being perpendicular makes it a bisector of both BC and ∠CAB.

BD≅CD

∠BAD≅∠CAD

Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.

1) ASA (one of the possible ASA combinations)

2) HL (again, one of the multiple possible HL combinations)

There are many more but I won't write them all out.

Answer:

24p-8

Step-by-step explanation:

Perimeter just means add up all the sides

(10p+6)+(2p-10)+(10p+6)+(2p-10)

= 24p-8

Answer:

Answer:

It is number 1

Step-by-step explanation:

I tried it.

Answer:

5x + 6 ≥ 21

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

→ Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It's letter C. Good luck

Answer:

ok

Step-by-step explanation: 3cm i believe

Answer:

$16

Step-by-step explanation:

32×5=160

6×4=24

160+24=184

200-184=16

Elie was left with $16 at the end of the trip

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.

Assume that she is left with $[x]. Then, we can write the equation as -

x = 200 - {(32 x 5) + (6 x 4)}

x = 200 - {160 + 24}

x = 200 - 184

x = 16

Therefore, Elie was left with $16 at the end of the trip.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Diameter = 120m

Circumference = (120 · π) m

(40 min) / (30 min/rotation)  =  4/3 rotation

Passenger travel = (4/3) · (120π)  =  160π meters  =  502.7 meters

Answer:

3 chocolates each night

Step-by-step explanation:

C-3

t-1

Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.

Step-by-step explanation:1

It is 3: the partitions of 5 into ≤2 parts.

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

Answer:

A, C, E, F

Step-by-step explanation:

when you multiply the numbers with 7 the answer is greater than 42

By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20

We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.

Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.

This gives:

($13.00 h^-1)*(67.4 h) = $876.20

This means that Andrew wins $876.20 per week with this job.

If you want to learn more, you can read:

https://brainly.com/question/503614

1. None, it makes a cylinder

2. C

3. B

4. A

Answer:

i think -4>-5

Step-by-step explanation:

because (-4)is greater than (-5)

Answer:

25cm = 250mm

15g = 1500mg

Step-by-step explanation:

cm to mm = multiply by 10

therefore 25 x 10 = 250

g to mg = multiply by 1000

therefore 15 x 1000 = 15000

Step-by-step explanation:

blue is natural: 1, 4, 0, 2 and root of 25.

green is whole: -9 and -15.

yellow is rational: 2/3

orange is irrational: pi and root of 15.

white is real numbers.

don't know about that purple one.

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

These points are not the vertices of the initial square.

I hope it helps.

Answer:

471.23 km²

Step-by-step explanation:

This is a cylinder.

Here's the formula to the the surface area of a cylinder.

[tex]Surface\:\:Area\:\:\:= 2\pi r(r+h)[/tex]

They have given the the diameter of the circle .

There fore we have to find the radius .

d = 2 r

10 = 2 r

5 km = r

Let's find the Surface area now.

[tex]2\pi r(r+h)[/tex]

[tex]2 *\pi *5(5+10)[/tex]

[tex]10\pi *15[/tex]

[tex]150 \pi[/tex]

471.23 km²

Hope this helps you.

Let me know if you have any other questions :-)

Answer: table 1 is 35 and table 2 is 1.301

Step-by-step explanation:

Answer: 3395 dollars

Step-by-step explanation:

First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.

Answer:

$102

Step-by-step explanation:

if Tommy spent 7 dollars on pie, that means he had more money than that amount before.

So before he spent 7 dollars, he had those 7 dollars.

Add 7 with 95

95 + 7 = 102

The amount Levi spends on this skateboard is $148.39.

Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.

The amount Levi spends on this skateboard = value of the tax + cost of the skateboard

value of the tax = 6% x $139.99

0,06 x $139.99 = $8.40

The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39

To learn more about taxes, please check: https://brainly.com/question/19540033