What is m<4 if m<5 = (2x) and m<4 = (x + 9)º?

Please

Answers

Answer 1

m∠4= 2x°

m∠5 = (x+9)°

case one: If both lie on the same plane then,

m∠4+ m∠5 = 180°

2x+x +9° = 180°

3x+9° = 180°

3x=171°

x= 171°/3

x= 57°

so,

m∠4 = 57° x 2° = 114°

m∠5= 57°+9° =66°

case two : If the angles are on opposite side of each other then,

m∠4=m∠5

2x= x+9°

2x-x=9°

x=9°

so,

m∠4m= 2x9 = 18°

∠5= 9+9= 18°

Answer 2

1.) m∠4 = 2x°

[tex]→m∠4+ m∠5 = 180°[/tex]

[tex]→2x+x +9° = 180°[/tex]

[tex]→3x+9° = 180°[/tex]

[tex]→3x=171°[/tex]

[tex]→x= \frac{171°}{3}[/tex]

[tex]→x= 57°[/tex]

So,

[tex]m∠4 = 57° × 2° = 114°[/tex]

[tex]m∠5= 57°+9° =66°[/tex]

2.) m∠5 = (x+9)°

[tex]→m∠4=m∠5[/tex]

[tex]→2x= x+9°[/tex]

[tex]→2x-x=9°[/tex]

[tex]→x=9°[/tex]

So,

[tex]m∠4m= 2×9 = 18°[/tex]

[tex]∠5= 9+9= 18°[/tex]


Related Questions

please help! i can’t seem to find a answer for this question.

Answers

D. (2,7)


it lines up with the others to form a rectangle

write an equation for the nth term of the sequence 8,32,128,512

Answers

Answer:

8*(4^n)

where n is the nth number

equation ar^n

where a is first term

r common ratio.

A ladder is leaning up against the side of a house. Use two points
to find the slope of the ladder. Then verify that the slope is the
same at a different location by choosing a different set of points.

Answers

Answer:

The slope is 2.

Step-by-step explanation:

Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.

100 POINTS!!!!!


Dora earns a monthly salary of $2,212 plus 2% commission. Last month, she sold $19,866 worth of products. What was her gross pay?
Show work for 100 POINTS!!

Answers

Answer:  $2,609.32

====================================================

Work Shown:

2% = 2/100 = 0.02

2% of $19,866 = 0.02*19866 = 397.32

Dora earned $397.32 in commission on top of the base monthly salary of $2,212

Her total monthly pay is 2212+397.32 = 2,609.32 dollars

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

Optional section:

If you wanted to use a bit of algebra here, then the equation is

y = 0.02x+2212

Plug in x = 19866 and you should get y = 2609.32

Sold worth=19866

Commission:-

[tex]\\ \rm\Rrightarrow 0.02(19866)[/tex]

[tex]\\ \rm\Rrightarrow 397.3[/tex]

Gross pay:-

2212+397.32609.3$[/tex]

Long ago, in some town, a phone number consisted of a letter followed by 3 digits (e.g. K651). How many
possible phone numbers could there be?

Answers

Answer:

25978

Step-by-step explanation:

There are 26 letters in the alphabet and 999 numbers with 3 digits so I multiplied and got the answer

Please mark Brainlest if I helped

Which operation should you perform first when you simplify 63 − (2 + 54 multiply 6) ÷ 5?

Answers

Answer:

Multiply 54 by 6

Step-by-step explanation:

Remember the Order of Operations:

Parentheses

Exponents

Multiplication/Division (Whichever comes first)

Addition/Subtraction (Whichever comes first)

In this case, we can start by looking inside of the parentheses.

There are two signs; addition and multiplication.

Now we look back to the order of operations (PEMDAS), and see that multiplication comes before addition, therefore you should first multiply 54 by 6.

An airplane is traveling at 625 miles per hour. At this rate, about how long will it take the plane to travel 3,250 miles?

Answers

Answer:

5.2 hours

Step-by-step explanation:

divide the total distance by how fast

td/speed

3250/625=5.2hrs

Question 3
Thank youuu

Answers

Answer:

45⁰

Step-by-step explanation:

We need to find n first.

we are given that GQH is 90⁰ which means that the sum of GQL and LQK should 90⁰ because these are angles on a straight line which adds up to 180⁰.

so,

(4n-15) + 3n = 90

Take the -15 to the other side after opening the brackets.

4n + 3n = 90 + 15

7n = 105

Divide it by 7 for both sides.

n = 15

Now substitute n=15⁰ in you LQK equation.

4n -15

(4×15) -15

60 - 15

45

Question 1 :

What is the smallest number by which 256 may be divided so that the quotient is a perfect cube?

(A) 2 (B) 3 (C) 4




Question 2 :

How many digits are there in the square root of 4456321?

(A) 2 digits (B) 4 digits (C) 3 digits




Question 3 :

Find the value of 3x3 - 4x2 + x - 5 when x = -3

(A) -54 (B) -71 (C) -32




Question 4 :

The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of the rectangle.

(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm





Question 5 :

What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4

(A) 9 (B) 5 (C) 12



Question 6 :

A line which intersects two or more lines at a distinct points is called a ____________

(A) concurrent (B) Intersecting (C) Transversal



Question 9 :

The circumference of a circle is 44 cm.Find its area (use π=22/7)

(A) 154 cm2 (B) 130 cm2 (C) 145 cm2



Question 10 :

The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.

(A) 410 cm2 (B) 125 cm2 (C) 440 cm2






* please help me with this I want to see how smart you guys are *

Answers

Answer:

1.) A

sorry I’m not smart so that’s the only one I know

Step-by-step explanation:

09. Find the rate A sum of money doubled itself in 15 years. In how many years will it become 8 times of itself?​

Answers

Answer:

45 years

Step-by-step explanation:

Let the sum be x and CI=2x

We know that

CI=P(1+100R)T

2x=x(1+100R) ^15

(1+100R)^15=2                

Let m be the number of years.

Therefore,

x(1+100R)m=8x

(1+100R)m=23

(1+100R)m=[(1+100R)^15]3          

From eqn(1)

(1+100R)m=(1+100R)45

On comparing both power, we get

m=45 years

solve the following equation for x
4x - 6y=20

Answers

Answer:

x = [tex]\frac{3}{2}[/tex]y + 20

[Given]

4x - 6y = 20

[Add 6y to both sides of the equation]

4x = 6y + 20

[Divide both sides of the equation by 4]

x = [tex]\frac{6}{4}[/tex]y + 20

[Simplify [tex]\frac{6}{4}[/tex], both 6 and 4 are divisible by 2]

x = [tex]\frac{3}{2}[/tex]y + 20

X=3/2y+5

Explanation-
4x-6y=20
+6. +6
4x=6y+20
—- ———
4. 4
X=3/2y+5

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of​ wheat, on the third​ square, four grains of​ wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining​ squares, how many grains of wheat should be placed on square ​15? Also find the total number of grains of wheat on the board at this time and their total weight in pounds.​ (Assume that each grain of wheat weighs​ 1/7000 pound.)

Answers

Answer:

Square 15: 16,384

Sum of all grains up to and including square 15: 32,767

Total weight up to and including square 15: 4.681 lb

Step-by-step explanation:

Square 1: 1 = 2^0

Square 2: 2 = 2^1

Square 3: 4 = 2^2

Square 4: 8 = 2^3

Notice that the exponent of the 2 is 1 less than the number of the square, so for square n, the number of grains is 2^(n - 1)

Square n: 2^(n - 1)

Square 15: 2^(15 - 1) = 2^14 = 16,384

Now let's look at the sums.

Square 1 sum: 1

Square 2 sum: 1 + 2 = 3

Square 3 sum: 3 + 4 = 7

Square 4 sum: 7 + 8 = 15

Notice that each sum is one grain less than 2 raised to the number of the square.

Square 1 sum: 1 = 2^1 - 1

Square 2 sum: 1 + 2 = 3 = 2^2 - 1

Square 3 sum: 3 + 4 = 7 = 2^3 - 1

Square 4 sum: 7 + 8 = 15 = 2^4 - 1

Square n sum: 2^n - 1

Square 15 sum: 2^15 - 1 = 32,767

Weight:

32,767 × 1/7000 lb = 4.681 lb

PLEASEEEE I NEED A ANSWER ASAP!!!!

A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 60-kilogram crates that can be loaded into the shipping container.

Answers

((60 * c) + 3300 ≤ 24000

60c ≤ 24000 - 3300

60c ≤ 20700

c ≤ 20700  / 60

c ≤ 345

Step-by-step explanation:

60x + 3300 = 24000

60x = 24000 - 3300

60x = 20700

x = 345

Find a polynomial f(x) of degree 5 that has the following zeros.
2,9,-4 (multiplicity 2 ), -5
leave your answer in factored form
F(x) =?

Answers

Answer:

Step-by-step explanation:

F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)

TO WHOEVER ANSWERS THIS QUESTION WILL RECIEVE A BRAINLIEST! I NEED THIS IN 1 HR SO PLEASE RESPOND AS SOON AS POSSIBLE!! THANKS!!!!!

Answers

51.25 per month which is $615 per year

They save 5 per month if they pay full year


(51.25-5)= 46.25 per month is $555


so it costs $555 if they pay all at once.

Answer:

mine is the same answer $555

calculate the length of the diagonal for the given rectangular prism. Round to the nearest tenth
Length = 10cm
Width = 4cm
Height = 10cm

Answers

The length of the diagonal of the rectangular prism is 14.7 feet to the nearest tenth.

What is a prism?

In a three-dimensional space prism is a polyhedron where two ends are similar.

Given:

The dimensions of the right rectangular prism:

Length l = 10cm

Width w = 4cm

Height h = 10cm

The length of the diagonal of the rectangular prism,

= √(l² + w² + h)

= √{(10)² + (4)² + (10)²}

= 14.69

= 14.7 feet.

Therefore, the length of the diagonal is  14.7 feet.

To learn more about the prism;

https://brainly.com/question/12649592

#SPJ1

Evaluate (6 + 2i) / (3 –i ).
5/4 + 6/4i
8/5 + 6/5i
20/8 + 12/8i
16/9 + 12/9i

Answers

We are given with a complex no. and need to simplify it , so let's start !!!

Let's assume that :

[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}}[/tex]

Now , Rationalizing the denominator or in other words multiplying and dividing [tex]{z}[/tex] by the conjugate of the denominator

[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}\times \dfrac{3+\iota}{3+\iota}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{(6+2\iota)(3+\iota)}{(3-\iota)(3+\iota)}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{6(3+\iota)+2\iota (3+\iota)}{(3)^{2}-(\iota)^{2}}\quad \qquad \{\because (a-b)(a+b)=a^{2}-b^{2}\}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{18+6\iota +6\iota +2(\iota)^{2}}{9-(-1)}\quad \qquad \{\because (\iota)^{2}=-1\}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{18+12\iota -2}{10}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{16+12\iota}{10}}[/tex]

[tex]{:\implies \quad z=\sf \dfrac{16}{10}+\dfrac{12\iota}{10}}[/tex]

[tex]{:\implies \quad {\bf \therefore}\quad \underline{\underline{z=\bf \dfrac{8}{5}+\dfrac{6}{5}\iota}}}[/tex]

Hence , Option B) (8/5) + (6/5)i is correct :D

Answer: 8/5+6/4i

Proof of validity is shown below.

Nolan has 4 sets of water colors. Each set has 8 colors. How
many total colors would he have if he bought 2 more sets?

Answers

Answer:

He would have 48

Step-by-step explanation:

1 set: 8

2 sets: 16

3 sets: 24

4 sets: 32

5 sets: 40

5 sets: 48

OR

{4(8)} + 2(8)

32 + 2(8)

32 + 16

48

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!

Answers

48

Steps

4+2=6

8 times 6= 48

g(n) = f(n)
f(n) = 2n² + 6
g(2) = ?

Answers

♪Answer : g(n) = f(n)

»f(n) = 2n² + 6

so, g(n) = 2n² + 6

»g(2) = 2(2)² + 6

»g(2) = 2(4) + 6

»g(2) = 8 + 6

»g(2) = 14

f(2)=2(2)^2+6=2(4)+6=8+6=14

As

[tex]\\ \rm\Rrightarrow g(n)=f(n)[/tex]

[tex]\\ \rm\Rrightarrow g(2)=f(2)=14[/tex]

Simplify the expression:
3x4-8d+1

Answers

Answer:

-8d+13

Step-by-step explanation:

Add and Multiply all of the numbers without variables:

3x4+1

Use PEMDAS to solve (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction):

3x4=12

12+1=13

Now you have your answer:

-8d+13

Answer:

-8d+13

Step-by-step explanation:

Multiply first:

3x4=12

Add:

12+1=13

Add equations:

-8d+13

The correct answer is -8d+13

To solve the equation 30 + 9x = - 0.5|x - 1| - 2 Draymond let f(x) = - 30 + 9x and g(x) = - 0.5|x - 1| - 2 Then, he graphed y = f(x) and y = g(x) as shown

Answers

The solution of a graph is the point where the lines of the graph meet

The solution of the equations is (3-,3)

How to determine the solution

To determine the solution, we simply mark the point of intersection of the graphs of functions f(x) and g(x)

From the graph, we have the point of intersection to be

(x,y) = (3-,3)

Hence, the solution of the equations is (3-,3)

Read more about equation solutions at:

https://brainly.com/question/1214333

Which table correctly lists the three solutions for the equation 5x + y = 14?
A)
х
-1
0
1
у
-5
0
5
5
B
B)
Х
-1
0
1
у
21
28
7
C)
х
-1
0
1
y
9
14
19
D)
х
-1
0
1
у
19
14
9
9

Answers

Answer:

a optionis a correct answer

Answer:

D will be your answer.

Step-by-step explanation:

solve the equations for y by replacing x with the numbers in the chart.

5x+y=14

start by isolating y by subtracting 5X from each side.

y= -5x + 14

y = -5(-1) + 14

y = 5 + 14

y = 19

y= -5x +14

y= -5 (0) +14

y= 14

y = -5x + 14

y = -5 (1) + 14

y = -5 + 14

y= 9

In a recipe mike uses 4 cups of brown sugar for every 3 cups of flower. What is ratio of flour to brown sugar SIMPLEST FORM.

Answers

Answer:

3:12 = 1:4

Step-by-step explanation:

3 cups of flour = 4 cups brown sugar

4 x 3 = 12

3:12 = 1:4 (simplest form)

Are 9/21 and 6/14 equivalent fractions

Answers

Answer:

Yes

Step-by-step explanation:

9/21 SIMPLIFIED= 3/7

6/14 SIMPLIFIED= 3/7

no because you can’t evenly simplify them to the same number

A shoe store uses a ​%60 markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$51​?

Answers

Answer:

81.60 is your selling price

Step-by-step explanation:

60% = 0.60

0.60 x 51 = 30.60

51 + 30.60 = 81.60

Round 705,499 to the nearest thousand.​

Answers

Answer:

705,000

Step-by-step explanation:

To round to the nearest thousand, you look at the number to the right of 5. If the number is 5 or higher then you round 5 up. But it is 4 so you keep 5 the same. All of the numbers after 5 are now 0. 705,000

Answer:

705000. Hope this helps!!!!!

HELP! Use the ratio test to determine whether the series is convergent or divergent.

Answers

Answer:

A

Step-by-step explanation:

aₙ = 5ⁿ/n!

aₙ₊₁/aₙ = [5ⁿ⁺¹/(n+1)!] / [5ⁿ/n!] = 5/(n + 1) tends to zero when n tends to infinity.

zero < 1

so the series is convergent.

Classify the triangle by side length and angle measurement.
A: Scalene, acute
B: Isosceles, acute
C:Scalene, right
D: equilateral, obtuse

Answers

Answer:

C

Step-by-step explanation:

The sides are different lengths when you look at them and then the 90° angle is already given

Answer:

The triangle is classified as a "right angle" because the little box at the bottom left mean it's exactly 90 degrees.

Step-by-step explanation:

c.) 4. Solve the system of equations
and write the solution in the blank.
y = -3x + 4
y = 4x – 10

Answers

You can set them equal to each other so -3x+4=4x-10 and then you add 3x and 10 on both sides and get7x=14 and then divided both sides by 7 and get x = 2 and check by plugging in and you get -2 for y on both so solution is x=2

A rectangular goat pen has a perimeter of 20 meters and an area of 24 square meters. What
are the dimensions of the pen?

Answers

Answer:

4m and 6m

Step-by-step explanation:

factors of 24: 2, 3, 4, 6, 8, 12

now just go through each and find one that fits the description

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