measuring lengths and angles

Answer:

x + 37 ≥ 65

Step-by-step explanation:

Given:

Money Micah wants = $65

Money Micah had = $37

Find:

Money Micah need

Computation:

Money Micah need(x)

x + 37 ≥ 65

So,

Money Micah need = 65 - 37

Money Micah need = $28

Answer:

Exact Form: -29/5

Decimal Form:-5.8

Mixed Number Form:-5 4/5

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

The value of measure of ∠NPQ will be;

⇒ ∠ NPQ = 118°

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The Quadrilateral MNPQ is shown.

Here, Quadrilateral MNPQ is an parallelogram.

So, By definition of parallelogram we have;

⇒ ∠ NMQ + ∠ NPQ = 180°  ..(I)

Since, We have;

⇒ ∠ NMQ = 30° + 32°

                = 62°

So, By equation (i),

⇒ 62 °+ ∠ NPQ = 180°

⇒ ∠ NPQ = 180  - 62

⇒ ∠ NPQ = 118°

Thus, The value of measure of ∠NPQ = 118°

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Answer:    phythagorean therorem??

Step-by-step explanation:  

a^2 + b^2 = c^2

does that help or do you need more help?

Answer:

1.26 m^3

Step-by-step explanation:

0.25*0.36*0.14=1.26

Answer:

-2(2-4)=4

-3.8x= -7.6

4(2-1)-3(2-2)

Step-by-step explanation:

Negative two times two equals negative four,negative two times negative four equals eight,negative four plus eight equals four.

Two times negative one point six, two times negative three six, negative six plus negative one point six equals negative seven point six.

Four times two and negative one equals four, negative three times two and negative two equals zero, four plus zero equals four.

Answer:

16g

Step-by-step explanation:

add them together

Answer:

16g

Step-by-step explanation:

They both have the same variable so they can be added together.

Answer:

2x^2+14x+5

Step-by-step explanation:

x^2+9x+5x+5

Combine Like Terms:

=2x^2+9x+5x+5

=(2x^2)+(9x+5x)+(5)

=2x^2+14x+5

Answer: AAS

Step-by-step explanation: Because there are 2 angles and one side.

Answer:

HL

Step-by-step explanation:

These two triangles are congruent by the HL Congruence Theorem.

The HL Congruence Theorem states that two triangles are congruent if they meet the following requirements

For this triangle:

This triangle meets all the HL Congruence Theorem requirements!

Let me know if this helps!

Answer:

I will put this into fractions for you- I hope you meant that

Step-by-step explanation:

15x turns into 30/2x

-4y turns into -8/2x

And finally 18 turns into 36/2

So the whole equation looks like this-

30/2x-8/2x=36/2

 P.S. I just multiplied everything by 2 and put 2 as the denominator

Answer:

The solution to the equation is:

[tex]x=4,\:x=\frac{3}{2}[/tex]

Step-by-step explanation:

Given the equation

[tex]3\left(x-4\right)\left(2x-3\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x-4=0\quad \mathrm{or}\quad \:2x-3=0[/tex]

now solving

[tex]x - 4 = 0[/tex]

adding 4 to both sides

[tex]x - 4 + 4 = 0 + 4[/tex]

simplifying

[tex]x = 4[/tex]

and also solving

[tex]2x - 3 = 0[/tex]

adding 3 to both sides

[tex]2x - 3 + 3 = 0 + 3[/tex]

simplifying

[tex]2x = 3[/tex]

divide both sides by 2

[tex]\frac{2x}{2}=\frac{3}{2}[/tex]

simplifying

[tex]x=\frac{3}{2}[/tex]

Therefore, the solution to the equation is:

[tex]x=4,\:x=\frac{3}{2}[/tex]

Answer:

4 or 3/2

Step-by-step explanation:

I had this question on a quiz, I got it correct.

Answer:

Pr/ok

Step-by-step explanation:

The ratio of cos P for the right-triangle PQR is PR/QR.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Right-triangle PQR.

 Q

 |       \

 |           \

 |               \

P                   R

Cos P = PR / QR

Thus,

The ratio of Cos P is PR/QR.

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Answer:

19 inches

Step-by-step explanation:

Given data

The length of the subway is 855 miles.

we are told that 1 inch represents 45 miles on map

Required

we want to find the length of 855 miles in inches

Let us do the conversion from miles to inches

1 inches = 45 miles

x inches=  855 miles

cross multiply we have

x= 855/45

x= 19 inches

Hence the length on the map is 19 inches

Answer:

The geometric series is [tex]8,\frac{8}{3} ,\frac{8}{9},\frac{8}{27},\frac{8}{81}[/tex]

The sum of the geometric series is 12.06

Step-by-step explanation:

First term of geometric series = 8

Common Ratio = 1/3

The formula used to find next term is: [tex]a_n=a_1r^{n-1}[/tex]

Our series has five terms, so we need to find 2nd, 3rd, 4th and 5th term

2nd term is:

[tex]a_n=a_1r^{n-1}\\a_2=8(\frac{1}{3})^{2-1}\\a_2=8(\frac{1}{3})^{1}\\a_2=\frac{8}{3}[/tex]

3rd term is:

[tex]a_n=a_1r^{n-1}\\a_3=8(\frac{1}{3})^{3-1}\\a_3=8(\frac{1}{3})^{2}\\a_3=\frac{8}{9}[/tex]

4th term is:

[tex]a_n=a_1r^{n-1}\\a_4=8(\frac{1}{3})^{4-1}\\a_4=8(\frac{1}{3})^{3}\\a_4=\frac{8}{27}[/tex]

5th term is:

[tex]a_n=a_1r^{n-1}\\a_5=8(\frac{1}{3})^{5-1}\\a_5=8(\frac{1}{3})^{4}\\a_2=\frac{8}{81}[/tex]

So, The geometric series is [tex]8,\frac{8}{3} ,\frac{8}{9},\frac{8}{27},\frac{8}{81}[/tex]

Now, Finding the sum of geometric series

The formula used is: [tex]S_n=\frac{1-r^n}{1-r}[/tex]

We have n =5, r=1/3

[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_5=\frac{8(1-\frac{1}{3}^5)}{1-\frac{1}{3} }\\S_5=\frac{8(1-\frac{1}{243})}{1-\frac{1}{3} }\\S_5=\frac{8(\frac{243-1}{243})}{\frac{3-1}{3} }\\S_5=\frac{8(\frac{242}{243})}{\frac{2}{3} }\\S_5=\frac{8(0.995)}{0.66}\\S_5=12.06[/tex]

So, The sum of the geometric series is 12.06

Answer:

Step-by-step explanation:

x - 3y  -15

x = -3

Answer:

$3.80

Step-by-step explanation:

Just divide $22.80 by 6 which is the amount of units, after you divide you get the cost per unit which is $3.80

Answer:

(8, - 2 )

Step-by-step explanation:

A translation of 4 units right means add 4 to the x- coordinate

A translation of 5 units up means add 5 to the y- coordinate

(x, y ) → (x + 4, y + 5 ) ← translation rule, then

(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )

Answer:

x=9; angle measure is 27°.

Step-by-step explanation:

The Vertical Angles Theorem states that angles opposite each other (in an X) are equal. According to this theorem,

3x = 27

After some simple algebra:

x = 9 ^ Division Property of Equality

Answer:

A. x=9;angle measure is 27°

is the right answer

Answer:

step by step below

Step-by-step explanation:

(cscA+1).(1-sinA)=cosA.cotA

(1/sinA +1).(1-sinA) = 1/sinA*(1 - sinA) + 1*(1-sinA)

                             = 1/sinA - 1  + 1 - sinA

                             = 1/sinA - sinA

                             = (1 - sin²A) / sinA

                             =cos²A / sinA

                             = cosA*cosA / sinA

                             =cosA*cotA

Answer: 54

Step-by-step explanation:

We know that 45 is 5/6. So that means 45/5=9. 9 is 1/6. 9x6=54 is 54. 54 is the number.

Step-by-step explanation:

3000 is the base amount of money. (1+.02) represents an increase of 2% in interest each year. (1+.02)^n-2 ; where n equals her age today. So, n-2 is the time since the money was invested, or 16.

Answer:

x= -20

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

comment if you want a step-by-step

Answer:

2

Step-by-step explanation:

Answer:

8 — 16 — 8n = 0 +> -8-8n=0 => -8(n+1)=0

=> = - 1

Step-by-step explanation:

Answer:

29.9

Step-by-step explanation:

29.9 rounded to the nearest 10 is 30

Answer:

Length of the diagonal = 1.73 cm

Step-by-step explanation:

Side of cube = 1 cm

Length of diagonal = x = ?

The formula used to find length of diagonal of cube is: [tex]Diagonal=\sqrt{3}s[/tex] where s is length of side of cube.

We have s = 1

So, Length of Diagonal will be:

[tex]Length\:of\;Diagonal=\sqrt{3}s\\Length\:of\;Diagonal=\sqrt{3}(1)\\Length\:of\;Diagonal=1.73[/tex]

So, Length of the diagonal = 1.73 cm

Answer:

x=1, y=−4

Step-by-step explanation:

Divide each term by −2 and simplify.

x=−7y/2−13

7x+5y=−13

Replace all occurrences of x with −7y/2−13 in each equation.

−39y/2−91=−13

x=−7y/2−13

Solve for y in the first equation.

y=−4

x=−7y/2−13

Replace all occurrences of y with −4 in each equation.

x=1

y=−4

Answer:

7m+8

Step-by-step explanation: