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

What is the equation, in point-slope form, of the line passing through the point (-6, -2) with a slope of 3/5?

Answers

Answer:

this is a required equation.

f(x) = 2x^2-10x+13
Find f(-4)

Answers

Answer:

85

Step-by-step explanation:

2(-4)^2=32

-10(-4)=40

32+40+13=85

Help it is due ASAP....

Answers

Answer:

c

Step-by-step explanation:

Answer: ∠4 and ∠5

Step-by-step explanation:

Those angles are alternate.

Sorry I took long btw, my mom called me and I forgot bout this. TnT

Hope I helped tho!

A recipe for lemonade calls for 6 cups of lemonade for every 24 cups water. Which equation can be used to find x, the percent of lemonade in the recipe? (HINT: think of how much total lemonade and water is being used) *

Answers

Answer:

To make 6 cups, you will need 2 cups of lemon and 4 cups of water....6 total

TWO of the six are lemon    2/6 x 100 = 33.33% Lemon    the rest is water  100-33.33= 66.67% water

OR

FOUR out of the SIX are water    4/6 x 100 = 66.67% Water

Step-by-step explanation:

24 times x equals 6

I am really confused. Please help

Answers

I don’t really know but here’s an example of another one maybe it’ll help

Pablo folds a straw into a triangle with side lengths of 4x2-3 inches,4x2-2 inches, and 4x2-1 inches.Which expression can be used to find the perimeter of the triangle?

Answers

Answer:

The expression to find the perimeter is [tex]12x^2-6[/tex].

Step-by-step explanation:

Given: The side lengths of the triangle are [tex](4x^2-3)[/tex] inches, [tex](4x^2-2)[/tex] inches, and [tex](4x^2-1)[/tex] inches.

To find: The expression that can be used to find the perimeter of the triangle.

Solution:

We have,

The side lengths of the triangle are [tex](4x^2-3)[/tex] inches, [tex](4x^2-2)[/tex] inches, and [tex](4x^2-1)[/tex] inches.

We know that,

The perimeter of a triangle is sum of all the sides.

So, Perimeter [tex]=(4x^2-3)+(4x^2-2)+(4x^2-1)[/tex]

[tex]\implies \text{Perimeter}=12x^2-6[/tex]

Hence, the expression to find the perimeter is [tex]12x^2-6[/tex].

a small auditorium can seat 320 people which inequality best represents the number of people who can sit in the auditorium pls help I am in 5th grade I have been stuck on this for a week and two days now I have to finish this this is due tomorrow sorry if I spelled wrong!:)

Answers

Answer:

Step-by-step explanation:

Answer is p/320

A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?

Answers

Answer:

28

Step-by-step explanation:

You can have 8 1x2 verical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

1+7+1+9+10=28

24[tex]24\leq 8(7-4x)[/tex]

Answers

Answer:

Inequality Form:  x ≤ 1

Interval Notation:  (−∞, 1]

Step-by-step explanation:

24 ≤ 8 (7 − 4x)

Rewrite so x is on the left side of the inequality.

  8 (7 − 4x) ≥ 24

Divide each term by 8 and simplify.

Divide each term in 8 (7 − 4x) ≥ 24 by 8.

  8 (7 − 4x)/8   ≥      24/8

Cancel the common factor of 8.

  7 − 4x  ≥ 24/ 8

Divide 24 by 8.

  7 − 4x  ≥ 3

Move all terms not containing x to the right side of the inequality.

  −4x  ≥ −4

Divide each term by −4 and simplify.

  x ≤ 1

The result can be shown in multiple forms.

Inequality Form: x ≤ 1

Interval Notation: (−∞, 1]

please help its due tonight!!

Answers

Answer:

your really think ik the answer

Step-by-step explanation:

yea the  sorry

Answer:

y = 2. It is a horizontal line.

Step-by-step explanation:

The asymptote is the line that the function comes close to touching, but never will. Because the range is y > 2, you know that any value greater than 2 can and will be a y-coordinate, but the function will never have 2 as a y-coordinate. It will never touch the line y = 2, and therefore, y = 2 is the asymptote. Hope this helps!

Find the point slope form for the line with slope 1/5 and paying through the point -8,-5find the point slope form for the line with slope 1/5 and paying through the point -8,-5

Answers

Y=1/5x- 17/5
Plug in numbers and solve

What is the cost in dollars of each large envelope

Answers

Answer:

there isn't enough information but I believe it is $1.42

Step-by-step explanation:

Answer:

$1.42

Step-by-step explanation:

wheres the work?

pls help me, here's the screenshot and see how y'all can help me

Answers

The y intercept is -1

We can say that the y intercept is at the location (0,-1)

This is where the graph crosses the vertical y axis. This is 1 unit below the origin.

This is assuming each tickmark on the grid represents 1 unit.

Answer:

The y- intercept is (0,-1)

Step-by-step explanation:

A y- intercept is when a point intercepts (crosses) the y- axis. Since the dot does not cross the x- axis, that point will be 0. It is below the y- axis, meaning it will be -1.

Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​

Answers

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

I hope this helps :))

PLEASE HELP FAST ( i will give brainliest)

Answers

Answer:

Step-by-step explanation:

60+30=90

180-90=90

60+30+90=180

so the x is 90

Answer:

x=3.5 if rounded if not than 3.4

Step-by-step explanation:

help me again pleaseee

Answers

Answer:

a). x = 10.20 in

b). x = 2.24

Step-by-step explanation:

a). By applying Pythagoras theorem in the given right angle,

    (Hypotenuse)² = (Leg 1)² + (Leg 2)²

    (15)² = x² + (11)²

     225 = x² + 121

     x² = 225 - 121

     x² = 104

     x = √104

     x = 10.198 ≈ 10.20 in

b). By applying Pythagoras theorem,

    (3x)² = (2x)² + (5)²

     9x² = 4x² + 25

     9x² - 4x² = 25

     5x² = 25

      x² = 5

    x = √5 = 2.24

Ellen can read 3 pages in 7 minutes.
Rob can read 8 pages in 14 minutes.
Who is the faster reader? Justify your
answer.

Answers

Rob is the faster reader.

7 in half is 3.5, and 14 in half is 7. 8 is over 7, and 3 is under 3.5:

ur daddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

I NEED HALP ASAP HALP

Answers

Answer:

7,350

Step-by-step explanation:

I would appreciate help with this question ​

Answers

Answer:

the image won't load but i want to help maybe try editing it?


A bag
contain 20 red, 15 yellow and 25 blue balls.
Uncle K takes one ball from the bag. Find the probability
that the ball is:
Red
Yellow
Blue
Red or yellow

Answers

Answer:

The probability that the ball is:

Red - 20:60 (simplified is 1:3)

Yellow - 15:60 (simplified is 1:4)

Blue - 25:60 (simplified is 5:12)

Red or yellow - 35:60 (simplified is 7:12)

Work out the following and give your answer in it's simplest form:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]
Plz help!!

Answers

Answer:

[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{3}{5}[/tex]

=3/5

=1.5

here's your answer!! hopefully it's readable! have a great day :)

Evaluate each expression if m = 6 and n = 12.

m + 5
A) 1
B) 7
C) 11
D) 17

Answers

Answer:

Uh where is the question

I don't see it I'm sorry.

Guys I need help it’s due today I’ll give extra points please and thank u

Answers

Answer:

n < 5

Step-by-step explanation:

6(3 + n) < 48

when you see parentheses you multiply so it would be 6 x 3 which is 18 then 6 x n which would be 6n so it simplified some would be 18 + 6n < 48 then to get the numbers on the same side and 6n on the other you would -18 from both sides so the one on the left side of the equation cancels out 6n < 48 - 18 then do the math which would be 30 then you divide by 6 to get the n by itself 30/6 is 5 so n is smaller than 5 or n < 5

2. Use the Pythagorean Theorem to find x.
9.2
16.5
Your answer

Answers

Answer:

The value of x = 13.7.

Step-by-step explanation:

Given

Hypotenuse = c = 16.5

a = 9.2

To determine

x = b ?

For a right-angled triangle with sides a, and b the hypotenuse is defined as

[tex]c=\sqrt{a^2+b^2}[/tex]

In our case, we have to get x

[tex]b=\sqrt{c^2-a^2}[/tex]

so substituting b = x, c = 16.5, a = 9.2

[tex]x=\sqrt{16.5^2-9.2^2}[/tex]

[tex]x=13.7[/tex]

Therefore, the value of x = 13.7.

A company claims that their new bottle holds 25% more laundry soap. If their original container held 80 fluid ounces of soap, how much does the new container hold?

Answers

Answer: The new container folds 100 fluid ounces.

Step-by-step explanation:

Given: A company claims that their new bottle holds 25% more laundry soap.

If original container hold 80 fluid ounces.

Then, Quantity of soap in the new container = 80 fluid ounces + 25% of 80 fluid ounces

= [80+0.25 x 800]  fluid ounces               [ 25% = 0.25]

= 80+ 20= 100 fluid ounces  

Hence, the new container folds 100 fluid ounces.

Answer:

66.25

Step-by-step explanation:

What is the result of subtracting the second equation from the first?
x−3y=6
−8x−y=6

Answers

Answer:

9x - 2y = 0

Step-by-step explanation:

Given

x - 3y = 6 → (1)

- 8x - y = 6 → (2)

Subtracting (2) from (1) term by term gives

x - (- 8y) - 3y - (- y) = 6 - 6 , that is

x + 8y - 3y + y = 0

9x - 2y = 0

Find the solution to the system of linear equations below.

x - y = 0
3x + 2y = 10

Answers

Answer:

the desired solution is (2, 2)

Step-by-step explanation:

Solve this using elimination by add'n/subtr'n.

Multiply the first equation by 2, obtaining the equivalent set of equations:

2x - 2y = 0

3x + 3y = 10

Combining like terms, we get 5x = 10, and thus x must be 2.

Subbing 2 for x in the first equation yields 2 - y = 0, or y = 2.

Then the desired solution is (2, 2).

I need help with this ASAP.

Answers

Answer:

1. Domain: -2, 0, 4; Range: -7, -1, 0, 3

2. Domain: -4, -1, 2, 3 Range: -5, 1, 8

Step-by-step explanation:

Domain and range are the just the x and y value in function table or ordered pair.

pls help I need this done in a few minutes!

Answers

Answer:

-2/5

Step-by-step explanation:

rise/run

-2/5 if you do the rise over run you would see your answer

Brenda needs to solve the system of linear equations below for her homework assignment. y = 9x – 70 y = 2x – 32 Which is a reasonable estimate of the solution to this system of linear equations?

A. (8, -25
B. (7, -24)
C. (5, -22)
D. (3, -20)

Answers

Answer:

C (5, -22) is the answer

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