Find the measures of the angles of an isosceles triangle where the ratio of the vertex angle to one of the base angles is 1:2.

Answers

Answer 1

Answer:

Angles of the isosceles triangle are 36°, 72° , 72°

Step-by-step explanation:

Vertex angle : Base angle = 1 : 2

Vertex angle = x

Base angle = 2x

Sum of all angles of a triangle = 180°

          x + 2x + 2x = 180°

                      5x = 180

                        x = 180 ÷ 5

                        x = 36°

2x = 2 *36 = 72°

Angles of the isosceles triangle are 36°, 72° , 72°


Related Questions

Simplify using BODMAS rule :
60÷6[{32÷4(7×2-15+5)}+3]

Answers

Step-by-step explanation:

the right answer is 1.714

Sally has 10 pounds she wants to buy 28 cans of soda which cost 28p each does she have enough money

Answers

Answer:

Yes, Sally has enough money to buy 28 cans of soda.

Step-by-step explanation:

Yes, because £10 = 1000p

1000p / 28p = 35 cans

35 cans < 28 cans

So Sally has enough money for 28 cans.

integrated mathematics 2. need help with chapter 5 test please​

Answers

Answer:

1/4

Step-by-step explanation:

[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]

[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]

[tex]\text{Probability of an event:}[/tex]

[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]

[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]

[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .

The average vehicle releases 1.39 grams of nox per mile driven. if a vehicle is driven 22,000 miles per year for 15 years, how much nox does that vehicle release

Answers

In 15 years, the average car releases 458.7 kilograms of nox.

How much nox does that vehicle release?

We know that the average vehicle releases 1.39 grams per mile driven.

And, in average, that car drives 22,000 miles per year.

So in a year, a car releases:

M = (22,000)*1.39 g  = 30,580 g = 30.58 kg

In one year, the average car releases around 30.58 kilograms of nox.

Then in 15 years, the car releases 15 times that amount, then we have the product:

T = 15*30.58 kg = 458.7 kg

In 15 years, the average car releases 458.7 kilograms of nox.

If you want to learn more about products:

https://brainly.com/question/10873737

#SPJ1

(72 divided by 8-x2x3+1

Answers

Answer: -2(3x-5)

Step-by-step explanation: first you divide 72 and 8 then do the rest

several local communities planted 2,360 trees this year on arbor day. and 360 more trees this year than they did last year. how many trees did they plant last year?

Answers

Answer:

2000

Step-by-step explanation:

2360-360

because it's says more trees tan last year so u minus

4 dolares
2. Un carro consume 6.8 litros de gasolina por cada 102 kilómetros
viajados. ¿Qué distancia puede viajar el auto con 24 litros de
gasoling?
Porfa urge

Doy corona

Answers

The car can travel 360 km with 24 liters of gasoline.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.

6.8 liters of gasoline = 102 km

1 liters of gasoline = 102 km/ 6.8

                               = 15

24 liters of gasoline = 24 x 15 = 360

Hence, The car can travel 360 km with 24 liters of gasoline.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

Which equation can be simplified to find the inverse of y = 5x² + 10?

Answers

Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

y-10 = 5 x^2       divide thru by 5

(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

± sqrt ((x-10)/5)   = y

Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.

Answers

Answer:

The x-intercept is at (-3, 0).

Step-by-step explanation:

log 1 = 0, so the x intercept of y = log x is at (1, 0).

The + 4 in the parentheses moves the whole graph 4 units to the left.

Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.

Which of the following is the product of the rational expressions shown
below?
x+2/X-4 * 3X/X+4

Answers

Answer: x = 0; x=10

Step-by-step explanation:

[tex]\frac{x+2}{x-4} *\frac{3x}{x+4}\\ \\x+2(x+4) = x-4(3x)\\x^{2} +2x+ 4x + 8 = 3x^{2} -12x\\2x+4x+12x =3x^{2} - x^{2} \\20x= 2x^{2} \\10x = x^2\\x=0\\x=10[/tex]

Hope this helps!

Record the letters in your triangle from left to right

Answers

Answer:

.

Step-by-step explanation:

Select the pair of numbers that have a sum of 7and a difference of 1

Answers

Answer:

3,4 is the pair of numbers that have a sum of 7 and a difference of 1

Simplify this expression.
(2-5√6)-3√2
6√2-15√6
6√2-15√/12
6√2-8√6
6√2-30√

Answers

Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

Step-by-step explanation:

= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]

= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

This expression is simplified already

1. Marc and Julian are considering the following investments for their portfolio. Help
them evaluate each one by weighing the risk versus return. Rank each as low,
moderate, or high in each category. (12 points)

Answers

The risk versus return of the investments that Marc and Julian are considering are:

Money Market savings account - Low.IRA - Moderate. Stock in new high tech company - High. Mutual Fund - Moderate. Five year CD (2% interest) - Low.High-yield five-year bond - High.

How risky are these investments?

Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.

IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.

Stock and high-yield bonds are quite risky but they have a chance of a high return as well.

Find out more on the riskiness of high yield bonds at https://brainly.com/question/25791702.

#SPJ1

2. Determine if the set of ordered pairs is a relation or a function.
{(-3,0), (-1,3), (1,0), (3,3)}
O relation
O function
O both

Answers

Function

According to defination

A relation is called to be a function if every domain of the relation has an unique range .

Or

f(x)=y

Here

f(-3)=0f(-1)=3f(1)=0f(3)=3

Every domain has unique range

Hence it's a function

Answer:

Function

Step-by-step explanation:

The point is a function because it passes the vertical line test
It is not a relationship because each input have only 1 out put

Fill in the blanks in each rule.

1. Ratio of Surface Area of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their surface areas is ___:___ .

2. Ratio of Volume of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their volumes is ___:___ .

Answers

The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.

What are the surface area and the volume of an object?

The size is the amount of space covered by a two-dimensional hard surface.

The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.

1.  The ratio of the surface area of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².

2.  The ratio of the volume of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.

More about the surface area and the volume link is given below.

https://brainly.com/question/15585435

#SPJ1

PLEASE HELP!! NEED THIS TO PASS!

Answers

Answer:

efmkkx. viihfa bgdgmys zsjnstjjded

Step-by-step explanation:

njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf

answer?..............

Answers

Step-by-step explanation:

please mark me as brainlest

What is the mean absolute deviation of 1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,5,6

Answers

Answer:

8


Step-by-step explanation:

step 1.
1,1,1,1,1,1,1,1 = 2 + 2 + 2 + 2 = 8

2 + 2 + 2 + 2 + 2 = 10

3 + 0 = 3

4 + 4 = 8

5 + 0 = 5

6 + 0 = 6

Step 2.

8 + 10 = 18

18 + 3 = 21

21 + 8 = 29

29 + 5 = 34

34 + 6 = 40

40/6 = 8

This is because if you added 6 + 6 eight times, you would get 40.

After 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40

Answers

The amount that Marcia will have saved in interest by consolidating the two balances is: b.$133.92.

Amount saved in interest

First step

Calculating for credit card A monthly payment (12% APR) using financial calculator

=pmt(rate,nper,-pv,fv)

Where:

Rate=12%/12=1%

Nper =12 months×4 years=48

PV = $1,389.47

FV=0

Hence:

=pmt(1%,48,-1389.47,0)

=$ 36.59  

Second step

Monthly payments 16% APR=$39.38×48

Monthly payments 16% APR =$1890.24

Monthly payments  12% APR=$36.59×48

Monthly payment 12% APR=$1756.32

Third step

Amount saved in interest=$1890.24 -$1756.32

Amount saved in interest=$133.92

Therefore the correct option is B.

Learn more about amount saved in interest here:https://brainly.com/question/27044125

#SPJ1

solve
-11 2/3 x (-4 1/5

Answers

Answer:

733

Step-by-step explanation:

write it into improper fraction

simplify by finding the lcm

Consider the expression 5/6(1/2x+6)-3x
What is the value of the expression evaluated for x=
12?
-26
-25
12
46

Answers

The value of the expression if x is equivalent to 12 is - 26

Functions and values

Given the expression

f(x) = 5/6(1/2x+6)-3x

If the value of x is 12, then;

f(12) = 5/6(1/2(12)+6)-3(12)

f(12) = 5/6(6+6) - 36

Simplify

f(12) = 5/6(12) - 36

f(12) = 10 - 36

f(12) = -26

Hence the value of the expression if x is equivalent to 12 is - 26

Learn more on functions here: https://brainly.com/question/25638609

#SPJ1

Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water.

Which student has the method that is most representative of the school’s population?
Raina suggested that she ask everyone in her math class on Friday.
Miya suggested that she ask students sitting in the first row of her classes on Friday.
Ryo suggested that he ask the basketball players at his practice on Friday.
Amir suggested that he ask every tenth student as he or she walks into school in the morning.

Answers

The students who has the method that is most representative of the school’s population is Amir.

What is a population?

Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.

Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)

Learn more about population survey:

https://brainly.com/question/7301139

#SPJ1

(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?

A. Likely
B. Certain
C. Unlikely
D. Impossible

Answers

Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

help help help help help help help

Answers

Answer:

V = 56,448 cm³

Step-by-step explanation:

the volume (V) is calculated as

V =Ah ( A is the area of the base and h the height )

here A = 2,352 and h = 24 , then

V = 2,352 × 24 = 56,448 cm³

Which graph has a slope 4/5?

Answers

Answer:

The middle option on the top row

Step-by-step explanation:

Slope is calculated as rise/run between two points.

In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.

Write
7(2p+4)-2(p-5)
Where a and b are integers.
in the form ap+b

Answers

[tex]7(2p+4)-2(p-5)=14p+28-2p+10=12p+38[/tex]

Answer:

12p+38

Step-by-step explanation:

Expand the brackets and simplify :

14p+28 -2p+10 (-2×-5=+10 as the product of 2 negatives is always positive)

12p+38

This is our final answer as 12 and 38 are integers

Hope this helped and brainliest please

Find the value of the angle θ rounded to 1 DP.

Answers

Answer:

35

Step-by-step explanation:

no kizzy bruvvvvvvvvv

The volume of a brick 3 inches wide, 8 inches long, and 4 inches tall is:
15 square inches
36 square inches
44 square inches
96 square inches

Answers

Answer:

96 cubic inches

Step-by-step explanation:

Volume=length*width*height

Your unknown is volume, which we can simplify as V.

Plugging in for the values of length, width, and height, we get [tex]v=8*3*4[/tex]

From there, we can simplify.

[tex]V=8*3*4\\V=24*4\\V=96[/tex]

To get the units, we know that the length, the width, and the height all are measured in inches.

[tex]V=inches*inches*inches\\V=inches^2*inches\\V=inches^3[/tex]

[tex]inches^3[/tex] can also be written as cubic inches, or inches cubed.

This gives you the answer of 96 cubic inches.

Solve- x/x+1 - 1/2 = -1/x+1

Answers

Answer:

Step-by-step explanation:

Remark

x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides

x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1)              Combine

x/(x+1) + 1/(x + 1) - 1/2 = 0                                      Combine x/(x+1) + 1/(x+1)

(x + 1)/(x + 1) - 1/2 = 0                                            Cancel (x+1)/(x+1) = 1

1 - 1/2 = 0                                                              No solution

Answer: No solution

Other Questions
Which expression is equivalent to the following complex fractions 1-(1/x)/2Not D What comes to mind when you think of poetry? anxious to the point that he couldn't eat very well without his stomach feeling queasy. As a result of his stress, Jonah increased his time of practicing basketball and asked an old team member to help him develop new skills he needed in order to make the team. After hearing that he made the basketball team a day after tryouts, Jonah went out for a large pizza with the rest of the team players.Based on this information, a psychologist would most likely conclude that Jonah's stress __________. Which of the following is not a quadrilateral? square rectangle pentagon trapezoid Use the function below to find F(-2).F(x) = 3xA 1/6B -9C -6D 1/9 what is a resume and why is it important to adopt a you attitude when preparing one? The ratio of the number of squares to the number of triangles in simplest form isadded to make the ratlo of the number of squares to the number of triangles 1: 1 Is A company is announcing the construction of a new skyscraper to the public. Which model will give the best idea of how the new building will change the city skyline? A. a drawing showing the interior of the building B. a full scale, three-dimensional model of the building C. a rough sketch of the building's shape D. a drawing showing both the new and old buildings For this assignment, you will conduct research to find the actual sizes of the Sun and the planets. Then, you will use an online solar system model calculator to determine the scaled sizes of these celestial bodies. Finally, you will use this information to create a scale model of the solar system. After his tour of asia, my grandfather concluded that the taj mahal was the most most beautiful structure in india, if not the world where are the capitilzation errors HELP FOR BRAINLIEST & 100please please please help needs to be submitted in 15 minutes!!! When comparing voltaic cells to electrolytic cells, oxidation occurs at the. Which is one quality of the entire open-ocean zone? When individuals lack the knowledge or skill to perform a novel or complex task, what kind of goal will be most effective Explain the role of the Island of Rhodes in the Crusades against the Ottoman Empire. Answer must be around one paragraph. For the function f(x) = 3x + 7, find the following:a) f(2)=c) f(x) = 8b) f(-3) =d) f(x) = 10 Which question would most likely help you understand this excerpt from Adam Smith's book The Wealth of Nations? A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. Theslant height of the pyramid is 93.2 in. What is the height of the pyramid?The height of the pyramid is aboutin.(Round to one decimal place as needed.) What does the symbol r indicate in an experimental design?.