One angle of a triangle has a measure of 66 degrees. The measure of the third angle is 57 degrees more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180 degrees. What is the Measure of the second angle? What is the measure of the third angle?

Answers

Answer 1

Answer:

76 degrees

Step-by-step explanation:

Let the angles be x, y and z

As per given:

x= 66z = 57 + 1/2yx+y+z = 180

Considering the first 2 equations in the third one:

66 + y + 57 + 1/2y = 1801.5y = 180 - (66+57)1.5y = 57y = 57/1.5y = 38

So the third angle is:

z = 57 + 38/2 = 76 degrees


Related Questions

Chad and his family went to the beach. First, they swam in the ocean for 1 hour and 15 minutes. Then they built sand castles for 45 minutes and played volleyball for 1 hour and 30 minutes. When they finished playing volleyball, it was 3:30 P.M. What time did Chad's family get to the beach?

Answers

Answer:

12:00

Step-by-step explanation:

so if you add up all the time they were there like this 1 hour + 15 +45+1 hour +30 you will get 3 hours and 30 minutes so then you subtract the the time from the  time like this 3:30 so they went at 12:00

Convert to slope-intercept from: y-3=6(x-5)

Answers

Answer:

y = 6x -27

Step-by-step explanation:

y-3=6(x-5)

Distribute

y-3 = 6x-30

Add 3 to each side

y-3+3 = 6x-30+3

y = 6x -27

This is in slope intercept form  y=mx+b where m is the slope and b is the y intercept

Hey there! I'm happy to help!

Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.

y-3=6(x-5)

We use distributive property to undo parentheses.

y=3=6x-30

We add 3 to both sides.

y=6x-27

Now, this in slope intercept form.

Have a wonderful day! :D

¿Cuál es el área de un rectángulo, sabiendo que su perímetro mide 24 cm y que su base es el triple de su altura?

Answers

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

The Area of rectangle is 27 unit².

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter = 24 cm

let the height of rectangle be x.

then the base= 3x

Now, Perimeter of rectangle= 2 ( l + w)

24 = 2( x+ 3x)

12 = 4x

x= 12/4

x= 3 units

So, length= 9 units and width= 3 units

Thus, Area of Rectangle= l x w

                                       = 9 x 3

                                       = 27 unit²

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The translated Question is:

What is the area of a rectangle, knowing that its perimeter measures 24 cm and that its base is three times its height?

You move at 45/mph and a bullet is shot at you, the bullet is moving at 44/mph

Would you be able to dodge the bullet, you factor in the fight or flight or freeze response

Answers

Answer:

See explanation below.

Step-by-step explanation:

A bullet shot at you will definitely hit you because of the direction it is travelling.

Your fight and flight response won't be activated either because of the speed of the event (bullet) or if you don't know how harmful a gun is (you'll remain calm/ignorant in this case)?

Try to post academic problems.

Best Regards!

Please Explain step-by-step

An algebra class contains 30 students. Forty
percent of the students in the class are girls. How
many boys are in the class?

Answers

Answer:

algebra es muy buena materia

So the 30 students as a percent would be 100, so when solving this problem you would put the 40 over the 100. Now you have to multiply 30 times 40 and divide by a 100, which would equal 12. 12 is how many girls there is so now you have to subtract 30 and 12 which would equal 18. Theres 18 boys in the class.

11
12
The data set represents the total number of tickets each person purchased for a play.
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
What is the median of the data?
O 1
O 1.5
02
O 2.5​

Answers

Answer:

1.5 because it is the average of the two middle numbers in this scenario.

The median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option, second is correct.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

0, 0, 1, 1, 1, 2, 2, 2, 4, 4

There are two mid-values in the middle that is 1 and 2

The mean of these two values will be median:

[tex]\rm Median = \dfrac{1+2}{2}[/tex]

Median = 1.5

Thus, the median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option second is correct.

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Functions f(x) and g(x) are shown: f(x) = x2 g(x) = x2 − 8x + 16 In which direction and by how many units should f(x) be shifted to match g(x)? Left by 4 units Right by 4 units Left by 8 units Right by 8 units

Answers

Answer:

Shift right by 4

Step-by-step explanation:

Given f(x)=x^2

g(x)= x^2-8x+16

Using

Horizontal Shift theorem dealing with the question

If the graph were to be move to to the right, we must use of graph f (x-L)

Where L= 4 and

NOTE:

POSITIVE L MAKES GRAPH SHIFT RIGHT

2) NEGATIVE MAKES GRAPH SHIFT LEFT

g(x)= x^2-8x+16

If we factorize this we have

(x-4)(x-4)

Since the two terms are the same we have (x-4)^2

Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function

Answer:

Left by 4

Step-by-step explanation:

graph x^2 and x^2 − 8x + 16 on Desmos . com

you start at f(x) and end at g(x)

Answer ASAP please, Will give brainliest.

Answers

Answer:

see below

Step-by-step explanation:

The measure of a minor arc is the same as the angle that forms it.

1. Since ∠GBJ = 90°, the answer is 90°.

2. ∠HBI = 180° - 151° = 29° so the answer is 29°.

3. ∠HBJ = 180° so the answer is 180°.

4. The reflex angle ∠GBI = 90 + 151 = 241° so the answer is 241°/

5. Since ∠GBJ = 90°, the reflex angle ∠GBJ = 360 - 90 = 270° so the answer is 270°.

6. ∠GBH = 180 - 90 = 90° so the reflex angle ∠GBH = 360 - 90 = 270° so the answer is 270°.

This data set is ages at first job. 14, 14, 16, 16, 17, 17, 18, 20, 21, 23 Construct a boxplot. Make sure to include labels.

Answers

Answer:

Please find attached the required box and whiskers plot

Step-by-step explanation:

The numbers are given in arranged order as follows;

14, 14, 16, 16, 17, 17, 18, 20, 21, 23

The five number summary are;

The minimum value = 14

The maximum value = 23

The first quartile, Q₁, is the (n + 1)/4th term or the 2.75th term  = 14 + 0.75×(16 - 14) = 15.5

The second quartile, Q₂, (the median) is the  (n + 1)/2th term or the 5.5th term = 17

The third quartile, Q₃, is the  3(n + 1)/4th term or the 8.25th term  = 20 + 0.25×(21 - 20) = 20.25.

what is the solution set

Answers

Answer:

b>11/13

Step-by-step explanation:

The way they use solution set is misleading

just think of it as "the answer"

8b-8>3-5b

13b>11

b>11/13

Answer:

Which properties of systems does a robot have? Which does it not have?

Step-by-step explanation:


what is meaning of rate?

Answers

Answer:

1.a measure, quantity, or frequency, typically one measured against another quantity or measure.

Step-by-step explanation:

2.a fixed price paid or charged for something.

Answer:

a measure, quantity, or frequency typically one measured against another quantity or measure.

Assign a standard or value to (something) according to a particular scale.

Identify the terms, like terms, coefficients and constants of the following expressions: a) 9 − z + 3 − 2z b) 7 − 5b + 1 terms: _____________ terms: ______________ like terms: ______ like terms: _______ coefficients: _____ coefficients: _____ constants: ______ constants: ______

Answers

Answer:

See below.

Step-by-step explanation:

a) 9 − z + 3 − 2z                             b) 7 − 5b + 1

terms: 9, -z, 3, -2z                          terms: 7, -5b, 1

like terms: 9 & 3; -z & -2z              like terms: 7 & -1

coefficients: -1, -2                           coefficients: -5

constants: 9, 3                                constants: 7, 1

 

Which of the following systems has (1,−1) as a solution? 1. 3x−2y=1 5x+3y=8 2. 3x+2y=1 5x+3y=−8 3. 3x+2y=1 5x−3y=8 4. 2x+3y=1 5x−3y=−8

Answers

2. 3x+2y= 1 and 5x+3y=-8

solution: In picture.

the angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians​

Answers

30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.

3k+7k+8k=180
18k=180
k= 10

Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.

Help please. Thank you

Answers

Answer:

D

Step-by-step explanation:

To figure out which ones is 15% of the number, we want to divide the number on the left of ratio, by the number on the right.

4/15=26%

5/33=15.15%

3/25=12%

1.5/10=15%

Answer:

[tex]\large \boxed{\mathrm{D. \ 1.5:10}}[/tex]

Step-by-step explanation:

4 is not 15% of 15.

15% × 15 = 2.25

5 is not 15% of 33.

15% × 33 = 4.95

3 is not 15% of 25

15% × 25 = 3.75

1.5 is 15% of 10.

15% × 10 = 1.5

Find the measure of b.

Answers

Answer:

b = 80°

Step-by-step explanation:

The inscribed angle measuring 100°, is supplementary to the angle opposite it in the inscribed quadrilateral.

Thus, the angle is = 80°

Therefore, b + 80° = 180° (angle on a straight line = 180°).

Thus, b = 180° - 80° = 100°.

The measure of b is 80°.

can someone explain this please?

Answers

Answer:

3 + 2y = 2 + 4y

Step-by-step explanation:

1. Create the equation

3 + 2y = 2 + 4y

There are 3 "1" blocks and 2 "y" blocks on the left. There are 2 "1" blocks and 4 "y" blocks on the right. The scale shows both are equal.

Answer:

3 + 2y = 2 + 4y

Step-by-step explanation:

To create an equation from this model, we look at both sides of the scale. The left has three 1 units and two y units, and there are two 1 units and four y units on the right side. Since the scale shows that both sides are equal in weight, we know that our equation would have an equal sign to show they are equal.

Left: Three 1 units can be written as 3 and two y units could be written as 2y.

Right: Two 1 units can be written as 2 and four y units could be written as 4y.

Now, we put these values together (with an equal sign) to get:

3 + 2y = 2 + 4y.

Hope this helps!

A geometric sequence has a common ratio of 22 and the 12th12th term is −12,288.−12,288.

What is the explicit rule that describes this sequence?

Answers

Answer:

Tₙ = -3(2)ⁿ

Step-by-step explanation:

The explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹ where;

a is the first term of the geometric sequence

r is the common ratio

n is the number of terms

If a geometric sequence has a common ratio of 2 and the 12th term is −12,288, then;

T₁₂ = ar¹²⁻¹

T₁₂ = ar¹¹

Given T₁₂ = -12,288 and r = 2, we can calculate the first term a

-12,288 = a2¹¹

a = -12,288/2¹¹

a =  -12,288/2048

a = -6

Since the explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹, then for the sequence given, the explicit rule will be;

Tₙ = -6(2)ⁿ⁻¹

Tₙ = -6 * 2ⁿ * 2⁻¹

Tₙ = -6 * 2ⁿ * 1/2

Tₙ = -3(2)ⁿ

Hence the explicit rule that describes this sequence is Tₙ = -3(2)ⁿ

What are three collinear points on line l?

points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G

Answers

Answer:

Points A, F, and G are three collinear points on line l.

Step-by-step explanation:

Answer:

Points A, F and G

Step-by-step explanation:

Bethany sells roses and petunias. The expression 3r+2.5p3r+2.5p3, r, plus, 2, point, 5, p gives the cost (in dollars) of rrr roses and ppp petunias. What is the cost of 777 roses and 888 petunias? \$$dollar sign

Answers

Answer: The cost of 7 roses and 8 petunias is $41.

Step-by-step explanation:

Given, Bethany sells roses and petunias. The expression [tex]3r+2.5p[/tex], gives the cost (in dollars) of r roses and p petunias.

Now  to find the cost of 7 roses and 8 petunias , put r= 7 and p= 8 in the above expression , we get

[tex]3(7)+2.5(8)=21+20\\\\=41[/tex]

Hence, the cost of 7 roses and 8 petunias is $41.

Type the correct answer in the box. Use numerals instead of words.
Find the sum of the finite geometric series.
Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited three times the amount he deposited in the previous month. On June 15 of the same year, the total amount Mr. Jamison has deposited is $

Answers

Answer:

$36,400

Step-by-step explanation:

Mr Jamison deposited $100 in January

February=3*100=$300

March=3{3(100)=3^2(100)=9*100=$900

April=3^3(100)=27*100=$2,700

May=3^4(100)=81*100=$8,100

June=3^5(100)=243*100=$24,300

Total amount=$100 + $300 + $900 + $2700 + $8100 + $24300

=$36,400

The total amount deposited by Mr Jamison on June 15 is $36,400

I need help please so if you could help that would be nice. Also i will make brainliest

Answers

No it is not a function. You have to be able to write y=mx+b

HELP ASAP WILL MARK BRAINLIEST!!!!!! Use the number line​ below, where ​RS=9y+2, ST = 4y+9 and RT = 115. a. What is the value of​ y? b. Find RS and ST. a. What is the value of​ y?

Answers

Answer: y = 7

Step-by-step explanation:

Find the square root of 2601 by prime factorization (USE MULTIPLICATION METHOD TO SOLVE THE ABOVE QUESTION)

Answers

2601|3

867|3

289|17

17|17

1

[tex]\sqrt{2601}=\sqrt{3^2\cdot17^2}=3\cdot17=51[/tex]

The triangle is a right triangle with the right angle marked. Which equation correctly expresses The Pythagorean Theorem for this triangle?​

Answers

Answer: Choice B

r^2 + s^2 = t^2

The legs are length r and s. Square them and add the squares to get the square of the hypotenuse t. The hypotenuse is always opposite the 90 degree angle.

Answer:

Hey there!

The pythagorean theorem states that the square of one leg plus the square of another leg is equal to the square of the hypotenuse.

Thus, r^2+s^2=t^2.

This can be a challenging topic, and if you need a further explanation, let me know. Hope this helps :)

Which equation can be used to solve the problem?
75 percent of what number is 150?
O
75 x 1
150 x 1
75
150
150 x 2 300
75x2 150
200x2 400
75 x2 150
75 x 2
100 x 2
150
200

Answers

Answer:

see below

Step-by-step explanation:

75%   of what number is 150

75          150

----- =  ---------

100       x

75*2 = 150

So multiply the left by 2/2

75*2          150

----- =  ---------

100*2       x

150

------

200

Answer:

The last question

Step-by-step explanation:

I took the test

Let ​f(x)=x2+10x+37​ . What is the vertex form off(x)? What is the minimum value off(x)? Enter your answers in the boxes. Vertex form: f(x)= Minimum value of f(x):

Answers

Answer:

The vertex form is f(x) = (x + 5)² + 12

The minimum value of f(x) is point (-5, 12)

Step-by-step explanation:

1) The vertex form of a quadratic equation f(x) = x² + 10·x + 37,  which is the form f(x) = a·(x - h)² + k is found as follows;

For the general form of the quadratic equation, f(x) = a·x² + b·x + c

h = -b/(2·a) and k = f(h)

Therefore, for f(x) = x² + 10·x + 37,

a = 1, b = 10

∴ h = -10/2 = -5

k = f(-5) = (-5)² + 10×(-5) + 37 = 12

The vertex form is f(x) = a·(x - h)² + k gives;

f(x) = 1·(x - (-5))² + 12 = (x + 5)² + 12

The vertex form is f(x) = (x + 5)² + 12

2) The minimum value of x is found when d(f(x))/dx = 0

d(f(x))/dx = d(x² + 10·x + 37)/dx = 2·x + 10

d(f(x))/dx = 0 = 2·x + 10

x = -10/2 = -5

We check that it is the minimum by f''(x) being positive;

f''(x) = d(2·x + 10)/dx = 2 which is positive and x = -5 is the x-coordinate of the minimum value of f(x)

The x-coordinate of the minimum value of f(x) minimum value is f(-5) = (-5)² + 10×(-5) + 37 = 12

Therefore, we have;

The minimum value of f(x) = (-5, 12)

Answer:

The vertex is (-5,f(-5)=12), The minimum value of f(x) is 12.

In the 2004 Olympic games Russia, China and the United States won a total of 96 gold medallions if the United States won 4 more medals than China and the medals achieved by the United States and Russia are twice those obtained by China determine the number of gold medals won by Russia

Answers

Answer:

28

Step-by-step explanation:

x = medals won by Russia

y = medals won by China

z = medals won by United States

Write a system of equations:

x + y + z = 96

z = y + 4

x + z = 2y

Substitute the second equation into the first and third:

x + y + y + 4 = 96

x + y + 4 = 2y

Simplify:

x + 2y = 92

x + 4 = y

Substitute for y:

x + 2(x + 4) = 92

x + 2x + 8 = 92

3x = 84

x = 28

Russia won 28 medals.

Which means China won 32 medals and the US won 36 medals.

A trader bought a bag for 125gh cedis. he later sold it at a profit of 30%. What is his selling price

Answers

Answer:

162.5 Cedis

Step-by-step explanation:

Cost Price= 125

Profit % = 30%

Selling price=?

Selling price= Cost price+ profit

Profit = ?

[tex]profit \% = \frac{profit}{cost \: price} \times 100[/tex]

[tex]30 \% = \frac{x}{125} \times 100[/tex]

[tex]30 \% = \frac{100x}{125} \\ 30 \times 125 = 100x[/tex]

[tex]3750 = 100x \\ \frac{3750}{100} = \frac{100x}{100} \\ x = 37.5[/tex]

Profit = 37.5 gh Cedis

Selling price= 125+37.5

Selling price= 162.5 gh Cedis

The selling price of a bag is 162.5Cedis.

It is required to find the selling price.

What is profit?

The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product.

Given that :

Let the profit be x.

Cost Price= 125

Profit % = 30%

profit%=profit/cp*100

30=profit/125*100

3750=100x

x=37.5

profit=37.5

Selling price= Cost price+ profit

Selling price=125+37.5

Selling price=162.5ghcedis

So, the selling price of a bag is 162.5Cedis.

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a=v^2/r Solve the formula for r

Answers

What formula is you using r or what do you have to show work ?

Answer:

[tex]\Large \boxed{r =\frac{v^2 }{a}}[/tex]

Step-by-step explanation:

[tex]\displaystyle a=\frac{v^2 }{r}[/tex]

We need to rearrange and solve the formula for [tex]r[/tex].

Multiply both sides of the equation by [tex]r[/tex].

[tex]\displaystyle a \times r=\frac{v^2 }{r} \times r[/tex]

Simplify the equation.

[tex]ar=v^2[/tex]

Divide both sides of the equation by [tex]a[/tex].

[tex]\displaystyle \frac{ar}{a} =\frac{v^2 }{a}[/tex]

Simplify the equation.

[tex]\displaystyle r =\frac{v^2 }{a}[/tex]

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