Find the value of two numbers if their sum is 112 and their difference is 66.

Answer:

x = 13

Step-by-step explanation:

need to solve for x so we get it by itself by adding 10.5 on the left side to cancel it out. what you do to one side you do to the other so since we added 10.5 to the left we need to add 10.5 to the right 10.5 + 2.5 =13

Answer: She'll have $17 left.

Step-by-step explanation:

4 * 10 = 40

40 - 17 = 23

Hope this helps!

Answer:

  $8

Step-by-step explanation:

After the shoe purchase, her balance was $50 -45 = $5.

After depositing her babysitting earnings, her balance was $5+25 = $30.

After buying pizza, her balance was $30 -42 = -$12.

Assuming no overdraft charge, her balance after depositing her earnings was ...

  -$12 +20 = $8

Sally's balance on Sunday was $8.

[tex] \sf \: = \sqrt[3]{50} \: \:cm \\ \sf \: = 3.68 \: cm[/tex]

Answer:

3.68 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer: The value of R is 6.

Explanation: I recommend you go to these two links for an easier understanding:

https://www.wikihow.com/Find-the-Y-Intercept

https://www.wikihow.com/Find-the-X-Intercept

Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:

1. a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. a.) FH = 24

b.) JL = 74

c.) KJ = 60

d.) FJ = 30

4. a.) AE = 26

b.) AN = 58

c.) CT = 21.5

d.) Perimeter of ΔAEN = 127

5. x = 15

6. x = 6

Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.

Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:

1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:

a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. The segment parallel to the given segments are:

a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. Given:

FG = 37; KL = 48; GH = 30

a.) FH = ½(KL)

FH = ½(48)

FH = 24

b.) JL = 2(FG)

JL = 2(37)

JL = 74

c.) KJ = 2(GH)

KJ = 2(30)

KJ = 60

d.) FJ = ½(KJ)

FJ = ½(60)

FJ = 30

4. Given:

PT = 13

EN = 43

CP = 29

a.) AE = 2(PT)

AE = 2(13)

AE = 26

b.) AN = 2(CP)

AN = 2(29)

AN = 58

c.) CT = ½(EN)

CT = ½(43)

CT = 21.5

d.) Perimeter of ΔAEN = EN + AN + AE

Perimeter of ΔAEN = 43 + 58 + 26

Perimeter of ΔAEN = 127

5. 10x + 44 = 2(8x - 23) (midsegment theorem)

10x + 44 = 16x - 46

10x - 16x = -44 - 46

-6x = -90

Divide both sides by -6

x = 15

6. 19x - 28 = 2(6x + 7) (midsegment theorem)

19x - 28 = 12x + 14

19x - 12x = 28 + 14

7x = 42

x = 6

Learn more about midsegment theorem on:

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The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

Learn more on diameter of circle: https://brainly.com/question/23220731

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A complex number in the form z = a + bi , then

the real part of z is a and b is the imaginary part

For 5 + 0.45i

where 5 is the real part

no clue

Step-by-step explanation:

...................

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

Answer: 18:23

Step-by-step explanation:

Answer:

12 edges

Step-by-step explanation:

A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.

Answer:

12

Step-by-step explanation:

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\sqrt{12} \times\sqrt{12}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]

[tex]\sqrt{12}\sqrt{12}=12[/tex]

[tex]=12[/tex]

The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]

This law is given as

[tex]a^m+a^n = a^(^m^+^n^)[/tex]

let's substitute the values in this question.

[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]

Let's apply the law and solve the radical

[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]

Solve the fractions

[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]

substitute the values and solve

[tex]12^\frac{1}{1}=12[/tex]

from the calculations above, the value of the radical is 12.

Learn more on laws of indices here;

https://brainly.com/question/10339517

Answer:

$7.01

Step-by-step explanation:

Answer:

$7.01

Step-by-step explanation:

You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.

Answer:

The domain of this exponential function is (all real numbers).

Step-by-step explanation:

The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.

I hope this helps!

The change in kinetic energy of the  system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the  system is 200 J

Find out more at: https://brainly.com/question/12669551

Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.

Step-by-step explanation:

I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.

Answer:

5^18.

Step-by-step explanation:

By the law of indices:

(a^b)^c = a^(bc)

So (5^3)^6

= 5^(3*6)

= 5^18.

Answer:

441

Step-by-step explanation:

Where you see X, substitute with 300

300-98 + 300÷2

291 + 150

= 441

Answer:

352

Step-by-step explanation:

important info:

x = 300

Solution/Explanation:

300-98+300 ÷ 2=

202+150=

352

Hence, the Answer is 352.

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

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

Easy! :D (if you don't mind, may I get brainliest please?)

Answer:

taxi

Step-by-step explanation:

you would take the taxi because it would cost less than Uber

Answer:

I think you forgot to attach the table

Step-by-step explanation:1

Answer:

6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ]

f(b) = f(4) = 9 ← value of f(x) when x = 4 , from table

f(a) = f(3) = 3 ← value of f(x) when x = 3 , from table

average rate of change = [tex]\frac{9-3}{4-3}[/tex] = [tex]\frac{6}{1}[/tex] = 6

Answer:

a.11

b.20

c.44

d.5

e.60

f.12

g.4

h.40

i.900

j.6

Step-by-step explanation:

hope this helps

5^-5, 5^0, 5^4

Explanation:

5^-5 would end up being in the negatives,

5^0 would end up equaling 5 or 0

5^4 is automatically more than 5^0 because 4 is greater than 0.

Answer:

150.183

Step-by-step explanation:

0.9 x (8.2 x 20.35) =

0.9 x (166.87) =

150.183

Answer:

M' (5,-1)

D' (5,1)

A' (3,4)

W' (4,-1)

Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

Reflection over y = x rule : ( x , y ) ---> ( y , x )

Explanation of rule: Simply swap the places of the x and y values.

Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

D(1,5) ----> swap x and y values -----> D'(5,1)

A(4,3) -----> swap x and y values -----> A'(3,4)

W(-1,4) -----> swap x and y values -----> W'(4,-1)

So the coordinates of Quadrilateral MDAW  after a reflection over the y = x  line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image