the measures of the angles in a triangle are in an extended ratio of 1:3:5. Find the measures of the 3 angles. ​

Answers

Answer 1

Answer:

20°, 60°, 100°

Step-by-step explanation:

Let x = measure of angle 1

3x = measure of angle 2

5x = measure of angle 3

Since the sum of the measures of the angles of a triangle is 180,

then x + 3x + 5x = 180

                  9x = 180

                     x = 20

3x = 3(20) = 60

5x = 5(20) = 100

Check:  20:60:100 = 1:3:5 and 20 + 60 + 100 = 180


Related Questions

what is the squares of 47 in detail​

Answers

Are you asking for the square root of 47? If so it’s 6.8556546. If you’re looking for 47 squared it’s 2209. Hope that helps.

Manny needs to solve the equation x2 – 8x – 24 = 0 by completing the square. Which pair of steps is the most efficient way to begin?

Answers

Answer:

B

Step-by-step explanation:

So for some reason the person didn't put the equations... I had the same question so here they are.

A.x^2 – 8x = 24

x2 – 8x + 4 = 24 + 4

B.x^2 – 8x = 24

x2 – 8x + 16 = 24 + 16

C.x^2 – 8x = 24

x2 – 8x + 64 = 24 + 64

D.x^2 – 8x = 24

x2 – 8x + 144 = 24 + 144

Good luck!

The quadratic equation can be solved by completing square method. The steps to solve the given equation are explained in detail.

What is a quadratic equation?

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

The given equation is,

x^2 - 8x -24 = 0

To solve this equation by completing square method, it has to be transformed into the form of (a + b)^2.

The steps for this method are given as follows,

(i) Find the coefficient of x^2. The square root of the this coefficient is the value of a.  

(ii) Find the term containing non-square part. In the given case it is -8x.

(iii) Compare the coefficient of this term with 2ab. it gives,

2ab = -8

=> 2 × 1 × b = -8

=> b = -4

(iv) Write the equation in the form of a^2 + 2ab + b^2 leaving the remaining term as it is. For the given equation it can be written as,

x^2 - 8x + 4^2 - 40 = 0

=> x^2 - 8x + 4^2 = 40

(v) Now, write the equation in terms of (a +b)^2 and get the solution. In this case it is written as,

(x - 4)^2 = 40

=> x - 4 = ±√40

=> x = 4 ±√40

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Which recursive formula represents the geometric sequence?
25, 20, 16,

Answers

Answer:

Step-by-step explanation:

[tex]a_n=\frac{4}{5}(a_{n-1})[/tex]

area of 20ft and 24ft

Answers

The Area Would Be 480 Squared.

Step-by-step explanation:

Im supposing this is a rectangle with length of 20 and width of 24, so... area is equal to lenth by width, so A=L*W or A=20*24 so the area is 480 square feet

HELP ME PLEASE PLEASE HELP MEEEEEE

Answers

Answer: A = 27 squared units

Step-by-step explanation:

Area = 3 x 9 and you use square units when referring to area

Answer:

the answer is 27 ( i don't known if its squared or unit-sorry)

Step-by-step explanation:

9*3=27

9 width multiplied by the height (3)= 27

Hope this helped :)

Answered on 2-26-2021 at 9:17am

Quote of the day:

“A life spent making mistakes is not only more honorable, but more useful than a life spent doing nothing.”

Have a great day <3 ily

Choose the three equivalent expressions: (Select all that apply 6( 4x + 5y) 20x + 30y 2(10x + 3y) 10(2x) + 10( 3y) 10(2x + 3y)​

Answers

Answer

Option 2, 4 and 5 :)

Step-by-step explanation:

Option 2 is already simplified to 20x + 30y

Option 4,

10*2x=20x and 10*3y= 30y so option 4 also simplifies to 20x + 30y

Next Option 5, 10*2x= 20x and 10*3y=30y. So it's also 20x + 30y


5. Suppose you invested PHP 25,000 at a simple interest at a rate of 2.5%, how much will be your investment after
10 years? a. PHP 43,750.00
C.PHP 45,730.00
b. PHP 31,250.00
d. PHP 47,350

Answers

Answer:

b. PHP 31,250.00

Step-by-step explanation:

Simple interest = principal × rate × time

Principal = PHP 25,000

Rate = 2.5%

Time = 10 years

Simple interest = principal × rate × time

= PHP 25,000 × 2.5% × 10

= 25,000 × 0.025 × 10

= 6,250

Simple interest = PHP 6,250

Investment after 10 years = principal + simple interest

= PHP 25,000 + PHP 6,250

= PHP 31,250

Investment after 10 years = PHP 31,250

Please help

-3x= y
-9x - 5y = - 48

Answers

Answer:

i can teach you how to solve it on calculator if u want

Ulian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each night. How many articles will he have to read per night

Answers

Answer:

1/ 2 articles per night

Step-by-step explanation:

Number of articles = 4

Number of nights to read = 8

If same number of articles is read per night `;

Number of articles read per night :

Number of articles / number of nights

= 4 / 8

= 1/ 2 articles per night

Answer:

Hello!! Your answer will be: B! (20)

Step-by-step explanation:

Have a great day and good luck on your exam!! :D

Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission? Include the unit symbol:

Answers

Answer:

$22.5

Step-by-step explanation:

2.5% of 900

0.025(900)= 22.5

what is the area of a rectangle if the length is (4x + 2) cm and a width of (5x – 3) cm

Answers

Answer:

20x^2−2x−6

Step-by-step explanation:

(4x+2)(5x+−3)

=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)

=20x2−12x+10x−6

=20x2−2x−6

(4x + 2)(5x - 3)

Multiply:

4x(5x) = 20x^2
4x(-3) = -12x
2(5x) = 10x
2(-3) = -6

Combine Like Terms:

10x-12x = -2x

Answer:
20x^2 - 2x - 6

hi hi!! please help, it’s 8th grade algebra

Evaluate the following expression:
(16 - 2*2*2) / (12-5*2)
(give answer as a
number... NO WORDS)

Your answer:

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(16 - 2*2*2)/ (12-5*2)

(16 - 8)/(12-10)

8/2

4

Sorry, if this doesn't help.

Write an equivalent expression. ​-2(7+5g)

Answers

Answer:

-2(7) + -2(5g)

Step-by-step explanation:

Using the distributive property we can confirm that:

-2(7) + -2(5g) = -2(7+5g)

Answer:

−14−10g

Step-by-step explanation:

First, solve the product:

-2 ⋅ 7 - 2 ⋅ 5g

Multiply -2 times 7 to -14.

So, the equivalent expression would be:

-14 - 2 ⋅ 5g = -14 - 10g

-14 - 10g

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=

Answers

Answer:1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=

Step-by-step explanation:

A circular decorative wall hanging was radius of 6 inches which measurement is closest to the area of the wall hanging in square inches

Answers

Answer:

28.270

Step-by-step explanation:

Multiply Pi (3.1416) with the square of the radius (r) 2. The radius can be any measurement of length. This calculates the area as square units of the length used in the radius. Calculated out this gives an area of 28.2744 Square Inches. that would be your formula wright it down this is how u get your answer

Multiply Pi (3.1416) with the square of the radius (6) 2. The radius can be any measurement of length. This calculates the area as square units of the length used in the radius. Calculated out this gives an area of 28.2744 Square Inches.

Simplify:
(4/2d^2)^3

Answers

8/d^6


it needs to be 20 characters long so

Answer:

Step-by-step explanation:

[tex](\frac{4}{2}d^{2})^{3} =(2d^{2})^{3}\\\\= 2^{3}*(d^{2})^{3}\\\\=8d^{2*3}\\\\= 8d^{6}\\[/tex]

Hint: [tex](a^{m})^{n}=a^{m*n}\\\\[/tex]

8 ÷ 2 (2 + 2) solve the equation

Answers

Answer:

8

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{Just do PEMDAS to solve for this equation; if you do not know what PEMDAS}\\\textsf{means, it simply means}\downarrow[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Exponents}[/tex]

[tex]\large\text{Multiplication}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Subtraction}[/tex]

[tex]\textsf{In this given equation you’re doing:}[/tex]

[tex]\large\text{Parentheses}[/tex]

[tex]\large\text{Addition}[/tex]

[tex]\large\text{Division}[/tex]

[tex]\large\text{8}\div\large\text{2 (2 + 2)}[/tex]

[tex]\large\text{2 + 2 = \boxed{\bf 4}}[/tex]

[tex]\large\text{8}\div\large\text{2(4)}[/tex]

[tex]\large\text{8}\div\large\text{2 = \boxed{\bf 4}}[/tex]

[tex]\large\text{4(4)}[/tex]

[tex]= \boxed{\large\text{\bf 16}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 16}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Need help. Someone help!

Answers

Answer:<DBE+<DBA+<EBC=180(SUM OF INTERIOR ANGLE OF A TRIANGLE is 180)

<DBE+39+53=180

<DBE=180-92=88

88 is the answer. it helps you.

Answer:

88 \

Step-by-step explanation:

On a circle, which of these is the longest?
A radius
B diameter
C chord
D circumference
Total marks: 1
Maths Watch Lid

Answers

Circumference!!! Is longer than radius , diameter and chord!

Answer:

D

Step-by-step explanation:

that's the answer becouse other words are small

Quan pays $150.00 for a 6 month gym membership. At this rate how much will Quan pay for a 1 year membership?

Answers

Answer:

300

Step-by-step explanation:

1 year -> 12 mths

12÷6=2

2x150=300

What is 60 times 5 twelfths

Answers

Answer:

25

Step-by-step explanation:

do 60 and multipy it by 5 then 5/12

and turn it into a proper fraction

Answer:

25

Step-by-step explanation:

60 × [tex]\frac{5}{12}[/tex] = [tex]\frac{300}{12}[/tex]= 25

Does: 2(4x + 10) = 8x + 20 has, One, None, Infinitely Many Solutions? You must show your work.

Answers

Answer:

one solution

Step-by-step explanation:

2( 4 + 1 0 ) = 8 +2 0   = 2 8 + 2 0

Subtract  

from both sides of the equation

Simplify  

Subtract  8  from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Solution   = − 5 /2

ONLY! people that can answer this please do so!

Answers

Answer:

2.59 feet

Step-by-step explanation:

What's the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21

Answers

Solution :

We have to find the largest fraction in each group.

a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]

    [tex]$\frac{5}{6}$[/tex]  →  when we divide the number 5 with 6, we get 0.833

    [tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805

Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.

b).  [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]

     [tex]$\frac{5}{12}$[/tex]  →  when we divide the number 5 with 12, we get 0.416

    [tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375

Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.

c).  [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]

     [tex]$\frac{2}{5}$[/tex] →  when we divide the number 2 with 5, we get 0.40

    [tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42

Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.

d).  [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and  [tex]$\frac{19}{21}$[/tex]

      [tex]$\frac{5}{7}$[/tex] →  when we divide the number 5 with 7, we get 0.714

    [tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928

    [tex]$\frac{19}{21}$[/tex]  → when we divide 19 by 21, we get the value 0.904

Therefore, in this group, [tex]$\frac{13}{14}$[/tex]  is the largest fraction.

What expression is equivalent to −15x−60?

Answers

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Jim has completed 16 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of his deliveries has Jim completed?

Answers

Answer:

20%

Step-by-step explanation:

16/80=0.2 which is 20%

20%. Divide both numbers by 8 to get 0.2. Then move the decimal place two places to the left to make it a percentage. That gives you 20%.

11 cm
Diagram NOT
accurately drawn
30 cm
The cylinder has a height of 30 cm and a radius of 11 cm. Work out the total surface area of
the cylinder. Give your answer correct to 2 significant figures.​

Answers

Answer:

[tex]A=2833.71\ cm^2[/tex]

Step-by-step explanation:

Given that,

The height of the cylinder, h = 30 cm

The radius of the cylinder, r = 11 cm

We need to find the total surface area of the cylinder. The formula for the total surface area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2\\\\A=2\pi \times 11\times 30+2\pi \times (11)^2\\\\A=2833.71\ cm^2[/tex]

So, the total surface area of the cylinder is [tex]2833.71\ cm^2[/tex].

Find (g o f)(-1). *

f(x) = x2 + 2x – 3
g(x) = x - 5

O A. -11
OB.-4
Oc.o
O D.-9

Answers

Answer:

D  -9

Step-by-step explanation:

(g o f)(-1) = g(f(-1))

f(-1) = [tex]f(-1) = (-1)^{2} + 2(-1) - 3\\= 1 - 2 - 3\\= -4[/tex]

g(-4) = -4 - 5 = -9

So, (g o f)(-1) = -9

Which expressions are equivalent to the one below? Check all that apply.
25%
A. 52.5*
B. 5. 52x
C. 5.5%
D. 54.5
E. (5.5)*
F 52x

Answers

Answer:

a,b,d

Step-by-step explanation:  jusrt the answer, take my word u totally wont fail lol

The equivalent value of the expressions are solved by the exponents

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 25ˣ

On simplifying , we get

A = ( 5 . 5 )ˣ

A = ( 25 )ˣ

And , A = 5ˣ . 5ˣ

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

A = 5²ˣ

A = 25ˣ

Hence , the expressions are ( 5 . 5 )ˣ = 5²ˣ = 5ˣ . 5ˣ = 25ˣ

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The complete question is attached below :

Which expressions are equivalent to the one below? Check all that apply.

25ˣ

HELP PLEASE
Which best represents an equation to solve for x?
3x = 75
3x +75 = 90
3x + 75 + 90 = 180
3x + 75 +90 = 360

Answers

Answer:

3x + 75 + 90 = 180

x = 5°

Step-by-step explanation:

3x + 75° + 90° = 180°( being sum of angles of triangle)

3x = 180° - 75°- 90°

3x = 15°

x = 15° / 3

x = 5°

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