Determine the measure of x and the exterior angle.
X =
Exterior Angle =
3x + 25°
20°
X + 550

Answers

Answer 1

Answer:

x=65°  

Step-by-step explanation:

Since all exterior angles add up to 360°.

⇒(3x+25°) + (20°) + (x+55°) =360°

⇒4x+100°=360°                                      {Add up like terms}

⇒4x=260°                                                {Subtract 100 from both sides}

∴  x=65°                                                   {Isolate x (divide both sides by 4)}

I hope this helped you with your math problem but more especially with understanding how to solve.


Related Questions

A rectangular portrait has an area of 40 square feet it's perimeter is 26 feet what are the dimensions of the portrait?

Answers

Answer:

Step-by-step explanation:

Portrait is in the shape of a rectangle.

And the area of a rectangle = Length × Width

Let the length of the portrait = l

And width of the portrait = w

Area of the portrait = lw

lw = 40

l = [tex]\frac{40}{w}[/tex]

Perimeter of a rectangle = 2(Length + width)

Perimeter of the portrait = 2(l + w)

26 = 2(l + w)

l + w = 13 ----------(2)

By substituting the value of 'l' in equation (1) from equation (2)

[tex]\frac{40}{w}+w=13[/tex]

40 + w² = 13w

w² - 13w + 40 = 0

w² - 8w - 5w + 40 = 0

w(w - 8) - 5(w - 8) = 0

(w - 5)(w - 8) = 0

w = 5, 8 feet

From equation (2)

l = 8, 5 feet

Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).

can someone please help me in my recent math problem :((​

Answers

Answer:

sure

Step-by-step explanation:

tip, add the question.

Rewrite 10/50 fraction in the simplest form.[tex]\frac{x}{y}[/tex]

Answers

Answer:

1/5

Step-by-step explanation:

divide both numerator and denominator by 10, with equals to 1/5

Answer:

1/5

Step-by-step explanation:

find the gcf of each which is ten and divide each number by that, you'll get 1/5.

If that doesn't make sense try this:

If both the numbers are even, 2 can go into each do start dividing each by that like this:

10/50 ---> 5/25 Now we see that 5 can go into both of these numbers to make 1/5

Please answer :puppy eyes emoji:

Answers

Well ven diagrams help you visually compare and contrast two figures. They helps you note the similarities and the differences between two items. Hope this helps!

25x=1252-x exponential equation

Answers

Step-by-step explanation:

25x = 1252 - x

We know that in order to solve this equation, we have to move all the x terms to one side and all of the coefficients to the other. So, if we add x to both sides, we get 26x = 1252.

Then, we can divide both sides of the equation by 26 to solve for x, so x≅48.15 or x = 48.153846 repeating.

Additive inverse of 400

Answers

Given:

A number is 400.

To find:

The additive inverse of 400.

Solution:

We know that the sum of a number and its additive inverse is 0.

If "a" is number and "b" is its additive inverse, then

[tex]a+b=0[/tex]

Let x be the additive inverse of 400. Then,

[tex]400+x=0[/tex]

Subtract both sides by 400.

[tex]400+x-400=0-400[/tex]

[tex]x=-400[/tex]

Therefore, the additive inverse of 400 is [tex]-400[/tex].

HELP ASAPPPPPPP FASTTT

Answers

Answer:

∠ FEG = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

110° is an exterior angle of the triangle, then

5x + 6x = 110

11x = 110 ( divide both sides by 11 )

x = 10

Then

∠ FEG = 5x = 5(10) = 50°

PLEASE HELP! what is the area of this figure

Answers

Answer:

48 sq ft

Step-by-step explanation:

Move the triangle at the left of the parallelogram to the vacant dotted area. The problem is now 6 ft by 8 ft.

6 * 8

=48

can some one answer my question i put up plz and ill mark you the b and give you 50 points

Answers

Answer:

what is your question

Step-by-step explanation:

math is bad help me lol-

Answers

Answer:

C

Step-by-step explanation:

The line rises up 8, and the run is 2, 8/2=4.

Harper sold a $350,000 home. She earned 3% commission. How much did she make off the sale of the home?

Answers

Answer:

10500 dollars

Step-by-step explanation:

350,000 * .03 = 10500

check the picture please if you're good at math!!

Answers

Answer:

A

Step-by-step explanation:

The triangles aren't similar.

The triangles share a side so we cant use anything involving SSS SAS.

The triangles has only known congruent angle so we cant use AA.

Nathan has four brown teddy bears, 5 pink teddy bears and 3 red teddy bears in his shop. Two teddy bears are bought, one at a time. What is the probability that both teddy bears were brown?

Answers

Answer:

2

Step-by-step explanation:

what is the mean absolute deviation for this set 65 95 85 70 70 95 55

Answers

Answer:

Step-by-step explanation:

The M.A.D is 12.24, also u meant to put the first 95 as a 90 lol.

Answer:

The M.A.D is 12.24

Step-by-step explanation:

131° 1079
47°
х
o
XE
Enter the number that goes in the green box.
[?]
Enter

Answers

Answer:

x=75

Step-by-step explanation:

Sum of the interior angles of a trapezoid = 360°

That being said we can calculate the measure of the missing angle (x) by subtracting the given angles (131, 107 and 47) from 360

so x = 360 - 131 - 107 - 47

360 - 131 = 229

229 - 107 = 122

122 - 47 = 75

so x = 75

Megan and Devon are working together in science class to build a terrarium for an herb garden. The plan for the terrarium, with some dimensions in centimeters (cm), is shown here. What is the volume of the terrarium?

Answers

Answer:

48,000,000

Step-by-step explanation:

just multiply them all

Can anyone help me with this please
No links or I’ll report it .
I’ll mark you as a brainliest.

Answers

Answer:

220 in²

Step-by-step explanation:

1) use a² + b² = c² to find the missing side length by substituting b with 11 and c with 61 ----- a² + (11)² = (61)²

2) this gets a² + 121 = 3721 after squaring 11 and 61

3) subtract both sides by 121 to try isolating the variable which gets a² = 3600

4) find the square root of 3600 to get the value of a, or the missing side which is 60 in

5) since there are three triangles, divide 60 by 3 which has 20 as the length of each small triangle

6) multiply 20 and 11 to get the area of the each small triangle and get 220 in²

6. A study recorded the number of baskets scored each game by four basketball players. The MAD from this data is shown below. Which basketball player is the most predictable regarding his/her number of baskets per game?


MAD. Basketball Player Donelle. 1.4
Mila. 3.8
Aracely. 2.5
Corey. 1.2

A. Donelle

B. Mila

C. Aracely

D. Corey​

Answers

Answer:

D. Corey!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Luis Huerto has a limited payment insurance policy until age 65. His annua
premium is $875. He wants to pay the premium monthly. The monthly
premium is 8.4% of the annual premium. What are his monthly payments?
$73.50
$70.98
$56.11
$69.75

Answers

$73.50
8.4% of the annual premium $875 come out to $73.50 a month

Answer:

$73.50

Step-by-step explanation:

875*0.084=73.5


[tex] \sqrt{1.69} - \sqrt[3]{0.001} [/tex]

Answers

Given:

The expression is:

[tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex]

On simplification, we get

[tex]\sqrt{1.69}-\sqrt[3]{0.001}=1.3-0.1[/tex]

[tex]\sqrt{1.69}-\sqrt[3]{0.001}=1.2[/tex]

Therefore, the value of the given expression [tex]\sqrt{1.69}-\sqrt[3]{0.001}[/tex] is 1.2.

Six more than 5 times a number x is greater than or equal to 31.

Answers

Answer:

x ≥ = 5

Step-by-step explanation:

5x + 6 ≥ = 31

5x ≥ = 25

x ≥ = 5

Kelly buys 4 7··8 pounds of apples and 2 3··8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work

Answers

Answer:

7 1/4 pounds

[tex]4\frac{7}{8} + 2\frac{3}{8}[/tex]

[tex]6\frac{7 + 3}{8}[/tex]

= [tex]6\frac{10}{8}[/tex]

convert the improper fraction to a mixed fraction

10/8 = 1 2/8 = 1 1/4

Add the 1 1/4 to 6 = 7 1/4

Step-by-step explanation:

Kelly buys 4 7/8 pounds of apples and 2 3/8 pounds of oranges. How many pounds of fruit does she buy altogether? Show Your work

I NEED HELP ASAP
In the figure, the dashed line divides the arrow in half. What is the total area of the arrow? 2 cm 5 cm 4 cm 20 cm 17 cm 2 cm​

Answers

Answer: 80 square centimeters

mark me brainlist pls

Step-by-step explanation:

At a local college, 100 students were asked about their major fields of study. The results are shown
below. What is the probability that a randomly selected student is a female or a liberal arts major?
Majors at Local College
Mathematics/science Liberal Arts
16
20
15
18
Business Studies
14
17
Male
Female
19
50
Done

Answers

7/10 would be the probablity

7/10 is the probability that a randomly selected student is a female or a liberal arts major.

Let us determine the number of female students:

15 + 18 + 17 = 50.

Determine the number of students majoring in liberal arts:

20 + 18 = 38.

Determine the number of students who are both female and liberal arts majors: 18.

Add the number of female students and the number of liberal arts majors, but subtract the overlap (students who are both female and liberal arts majors):

50 + 38 - 18

= 70.

Divide the result by the total number of students:

70 / 100

= 7/10.

Hence,  the probability that a randomly selected student is a female or a liberal arts major is 7/10.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ6

solve for x
your answer must be simplified
[tex] \frac{x }{ - 9} \geqslant 3[/tex]

Answers

Answer:

x ≤ -27

Step-by-step explanation:

multiply each side by -9

when multiplying or dividing an inequality by a negative value you must reverse the inequality symbol


A recipe calls for 6.67 cups of sugar, but Jake only has 1.8 cups. How much
more sugar does Jake need?
4.87 cups
5.27 cups
8.47 cups
5.59 cups

Answers

Answer:

Jake need 5.59 cup of sugar

I hope you like it

PLEASE HELP!! - MULTIPLE CHOICE - 10 POINTS - YOU WILL GET BRAINLIST - MATH

Answers

Answer:

no picture srry man

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

First, you can see that it's a right angle. so 90 - 42 is 48.

measure of angle C is 48

Which is the approximate value of x? 4 9 17 20

Answers

Answer: it’s d. 20 .

Use the quadratic formula to find both solutions to the quadratic equation
given below.
4x2 + 3x -1 = 0

Answers

Answer:

do u mean 4x²........i need to make sure it

I NEED HELP ON THIS QUESTION

Answers

Step-by-step explanation:

b=4, so

7²+4²=c²

49+16=c²

65=c²

Sq root both sides

8.06=c

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