An isosceles triangle has angle measures of (2x degrees) and (5x degrees). What are three possible angle measures of the triangle? Show all work.

Answers

Answer 1

Answer:

[tex]40^{\circ},\:40^{\circ},\: 100^{\circ}[/tex]

Step-by-step explanation:

The interior angles of any triangle always add up to [tex]180^{\circ}[/tex]. In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:

[tex]2x+2x+5x=180[/tex], where [tex]x[/tex] is some constant.

Solving, we get:

[tex]9x=180,\\x=20[/tex]

Therefore, plugging our constant back in, our angles are:

[tex]2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}[/tex].

Note this is only one group of possible angles. We could've also set the angle represented by [tex]5x[/tex] to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be [tex]60^{\circ}[/tex] (equilateral).

Answer 2

Answer:

100, 40, 40

Step-by-step explanation:

First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.


Related Questions

solve the square root of 2x-5=x-4​

Answers

Answer:

Simplifying
2x + -5 = x + -4

Reorder the terms:
-5 + 2x = x + -4

Reorder the terms:
-5 + 2x = -4 + x

Solving
-5 + 2x = -4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-5 + 2x + -1x = -4 + x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 1x = -4 + x + -1x

Combine like terms: x + -1x = 0
-5 + 1x = -4 + 0
-5 + 1x = -4

Add '5' to each side of the equation.
-5 + 5 + 1x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -4 + 5
1x = -4 + 5

Combine like terms: -4 + 5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Answers

Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot

Answers

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $

Answers

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

So can someone just help me solve this and tell me which terms belong together....ty-

Answers

48, -5, 37, and 5 go together

Factor the following polynomial fully.

10x^2 + 16x – 8

A. 2(5x – 4)(x + 1)
B. (2x + 4)(5x – 2)
C.(10x – 8)(x + 1)
D.2(x + 2)(5x – 2)

Answers

The correct answer is D
The answer to your question is D

Please help me I’ll mark you brainiest

Answers

Answer: A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides.

Step-by-step explanation:

Which value of x is a solution of the inequality 25x - 100 < 250?

Answers

Answer:

inequality form: x<14

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The solution of the given inequality is set of all x such that x < 14.

What are Inequalities?

Two or more expressions connected with symbols of inequality like ≥, ≤, > and < is called the inequalities.

There are different kinds of inequalities like polynomial inequalities which includes linear inequalities and quadratic inequalities, rational inequality and so on.

Linear inequalities will have the highest degree of the variable equals 1.

Given a linear inequality,

25x - 100 < 250

Adding both sides of the inequality with 100,

25x - 100 + 100 < 250 + 100

25x < 350

Dividing both sides of the inequality by 25,

25x / 25 < 350 / 25

x < 14

Hence the value of x in the inequality is all the values of x which are less than, < 14.

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Please help I need it fast thanks!

Answers

Answer:

B

Step-by-step explanation:

My guys do you thing pls help I will give brainliest

Answers

Answer:

22

Step-by-step explanation:

Suppose that y varies directly with x, and y=12 when x=15
Write a direct variation equation that relates x and y.
Find y when x=2

Answers

Answer:

[tex]y = 1 \frac{3}{5} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

Please solve

16 > -8 + x

Answers

Answer:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

A. Reflection
B. Rotation
C. Translation
D. No Transformation

Answers

Answer:D I think might be wrong

Step-by-step explanation:

Find the sum or difference:

(2w - 9) + (-4w - 5)

(6d + 5) - (2 - 3d)

(4 - 5y) - (2y - 16)

Answers

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

Melissa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $ 0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish?

Answers

$12...................

An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?

Answers

Answer:

0.12 miles is it flying per second.

Step-by-step explanation:

The distance d is related to time t in seconds is given by the equation as follows :

d =0.12 t

We need to find how many miles is it flying per second.

[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]

So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.

Identify the imaginary part of this complex number:

(1)/(2)+(-7)/(2)i

Answers

Answer:

-7/2i

Step-by-step explanation:

The imaginary part of the complex number is -7/2.

What is complex form?

A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.

We know a complex form,

a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part

So,

[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]

Compared to the standard form,

-7/2 is the imaginary part.

Therefore, -7/2 is the imaginary part.

To learn more about the complex form;

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Jackie has a collection of stamps and coins. The total number of stamps and coins is 81. The number of coins is one more than three times the number of stamps. Find out how many stamps and coins Jackie has. Part A: Write let statements that represent the variables in this situation (2 points) Part B: Set up a system of equations that you can use to solve this problem? (2 points) Part C: Solve the system from (b) by using either substitution or elimination *show all solving steps*. (4 points) Part D: Write a solution statement answering the question

Answers

Answer:

Jackie collected 61 coins and 20 stamps

Step-by-step explanation:

Solving (a): Variable representation

Let the coins be represented with c

Let the stamps be represented with s

Solving (b): Setup equation

Total is 81. This implies that:

[tex]s + c = 81[/tex]

Also:

[tex]c = 1 + 3s[/tex]

Solving (c): Solve the system

Substitute 1 + 3s for c in [tex]s + c = 81[/tex]

[tex]s + 1 + 3s = 81[/tex]

Collect Like Terms

[tex]s + 3s = 81-1[/tex]

[tex]4s= 80[/tex]

Divide both sides by 4

[tex]s = \frac{80}{4}[/tex]

[tex]s= 20[/tex]

Substitute 20 for s in [tex]c = 1 + 3s[/tex]

[tex]c = 1 + 3 * 20[/tex]

[tex]c = 1 + 60[/tex]

[tex]c = 61[/tex]

Solving (d): Solution statement

Jackie collected 61 coins and 20 stamps

If we add the second equation to the first equation, we have a new
equation: 7c+8p=29.60. Explain why the same (c, p) pair that is a solution
to the two original equations is also a solution to this new equation.
Pls help asp this is due in a few hours !!!

Answers

Answer:

2

Step-by-step explanation:

Which of the following is not a rational number?A)22 B) ⅓ C)―16 D) 0.343

Answers

Its 0.343 because it cannot be expressed as a fraction or whole number

You earn 4x+12 points after completing x levels of a Vedio game and then lose 2x-5 points. Write an expression that represents the total number of points you have now

Answers

Answer: 2x+17

4x+12-(2x-5)
4x+12-2x+5
2x+17

a new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year what will the value of the car be, to the nearest cent, after 15 years?

Answers

The answer is 4034.1

there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus

Answers

Answer:

40

Step-by-step explanation:

3 x 8 = 24

5 x 8 = 40

24/3 = 8

5 x 8 = 40

There are 40 girls


please help i will mark branliest

Answers

Answer:

A. S=3w

Step-by-step explanation:

Hope it helps

A. S=3w

Good luck, and have a great day!

write the ratio
14:56
in it's simplest form

Some one please help me !!!

Answers

Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

please answer this question i will give brainliest!

Answers

It is either a or b I have a strong feeling it is b!!

Answer:

b is the right answer bc all the others r wrong

Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1

Answers

Answer:

-5x+4

Remainder: x^2+5x-3

Step-by-step explanation:

I hope this is helpful

Who can help with this question please?​

Answers

Answer:

Let the sum be x.

Using formula,

I=

100

PRT

=

100

12

15

×

2

15

100

12

8

×

2

25

=32.50

2400

25x

=32.50

⇒x=

25

32.50×2400

=3120

∴ Required sum =Rs.3120

Step-by-step explanation:

True or false: you flip the sign every time you multiply or divide when you're solving an
inequality.

Answers

False. You only flip when the number you are multiplying/dividing is negative.

The Perimeter of the scalene triangle is 54.6cm

Which equation can be
used to find the value of b if side a measures 8.7 cm?

a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6

Answers

Answer: B. 17.4+b=54.6

Step-by-step explanation:

Edgen 2023

The equation can be used to find the value of b is 54.6 = 34.8 + b.

We have,

The border of the triangle is54.6 cm

and side a = 8.7 cm,

So, Perimeter = sum of the lengths of the three sides

54.6 = a + 3a + b

54.6 = 4a + b

We know a= 8.7 then

54.6 = 4(8.7) + b

54.6 = 34.8 + b

Therefore, the needed equation is54.6 = 34.8b.

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