The measure of the vertex angle of an isosceles triangle is (a + 30)°. The base angles each measure (2a - 15)º. What is the measure in degrees of one of the base angles?​

Answers

Answer 1
To be able to fine one of the bases we must first find the vertex and to do that we have to find the value of a.

A triangle measures 180 degrees.
Therefore we must form an equation that is equal to 180 degrees.


(a + 30) + 2(2a - 15) = 180

We put 2 in front of (2a - 15) because there are two base angles.

Solution:

(a + 30) + 2(2a - 15) = 180
a + 30 + 4a - 30 = 180
a + 4a + 30 - 30 = 180
5a = 180
5a/5 = 190/5
a = 36 degrees

Therefore the base = 2(36) - 15 = 57 deg

Related Questions

1 +3 = ????????????????

Answers

One and three are both numbers. We can add the, together and get another number. The fact that these two numbers should be added is shown by the symbol between them. Adding 1 to 3 equals to 4.

Solve the inequality -6c< -12

Answers

Answer: c<2

Step-by-step explanation:

-6c<-12

c<-12/-6

c<2

Find the height of this triangle.

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x^2 + 1 = 4

x^2 = 3

[tex]\sqrt{3}[/tex]

If angles of measures (x - 2) and (2x + 5) are a pair of supplementary angles, find the measures of those angles

Answers

Answer:

Solution: Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123

Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks.
Peter is going to send some flowers to his wife. Cedarburg Florist charges $3 per rose, plus $21 for
the vase. Sally's Flowers, in contrast, charges $2 per rose and $26 for the vase. If Peter orders the
bouquet with a certain number of roses, the cost will be the same with either flower shop. How
many roses would there be? What would the total cost be?
If the bouquet contains
roses, it will cost $
My

Answers

Answer:

R=5

Step-by-step explanation:

3r+21

2r+26

3r+21=2r+26

r=5

What are the four answers?

Answers

Answer:

CLAE

Step-by-step explanation:

1=43

2=28

3=24

4=83

A person invests $3,500 in an account that earns 7.5% interest compounded continuously. What is the value of the investment after 4 years?

Answers

I think it's: 4,674.14$

Answer:

A = $4724.36

Step-by-step explanation:

P = $3500

r = 7.5% = 0.075

t = 4years

n = 365

     [tex]A = P(1 + \frac{r}{n})^{nt}\\\\[/tex]

        [tex]=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36[/tex]

For the function f(x)=−7x^3−8x+2x^2, Step 1 of 2 : Find the slope of the tangent line at x=1.

Answers

Answer:

The slope of the tangent line at x = 1 is -25.

Step-by-step explanation:

We are given the function:

[tex]f(x)=-7x^3-8x+2x^2[/tex]

And we want to find the slope of the tangent line at x = 1.

The slope of the tangent line at a point for a function is given by its derivative. Find the derivative of the function:

[tex]f'(x)=-21x^2+4x-8[/tex]

Then the slope of the tangent line at x = 1 is:

[tex]f'(1)=-21(1)^2+4(1)-8=-25[/tex]

What is the y-intercept of the quadratic function below?





There is no y-intercept

(0, -1)

(-4, 0)

(-2, 3)

Answers

The answer is (-4,0) I just took the test

An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow.:

Car
Compact Intermediate Full Size
Analyzer Computerized 50 55 63
Electronic 42 44 46

The following regression model can be used to analyze the data for a randomized block design involving two treatments and three blocks.

E(y) = 0 + 1x1 + 2x^2 + 3x^3
Show the values of the variables below.

Analyzer x1
Computerized __________
Electronic 1

Answers

Answer:

the value of the variable is 10

Area of a trapezoid
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
6 cm
0
10 cm
8 cm
12 cm

Answers

Answer:

h

Step-by-step explanation:

h

What is 7 and 1/3 times 2 and 2/11 equal?

Answers

Answer:

16

Step-by-step explanation:

First, convert both into improper fractions. 7 1/3=22/3. 2 2/11=24/11.

Lastly, multiply 22/3*24/11=528/33=16

Hope this helps!

The value of given expression is 28/33.

What is the product of two fractions?

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their numerators / Product of their denominators

Given that, 7 and 1/3 times 2 and 2/11.

Now, 7× [tex](\frac{1}{3} \times2)[/tex]× 2/11

= 7× 2/3× 2/11

= (7×2×2)/(3×11)

= 28/33

Therefore, the value of given expression is 28/33.

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

#SPJ2

what would it look like?

Answers

x^2 + y^2 = 12.25

The above equation is the equation for a circle. The formula for the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.

Looking at the given equation, x and y, otherwise known as the center, are not shifted at all. This mean that the center of our circle is at (0,0).

To find the radius, we take the square root of 12.25, which is 3.5. Therefore, go 3.5 units up, down, left, and right (to make a + sort of shape) from the center and then connect the points to make the circle.

Hope this helps!! :)

Answer:

Step-by-step explanation:

The graph of x^2 + y^2 = 12.25 will be a circle with centre at (0, 0) and radius will be √12.25 = 3.5.

2x + y = 1  is a straight line

y = -2x + 1 so it will pass through the y axis at y = 1 and also through the point

(-1/2, 0).

Where the line passes through the circle will be the solutions to the system.


The perimeter of a triangle is 57 inches. Twice the length of the longest side minus the length of the shortest side is 22 inches. The sum of the length of the longest side and twice the sum of both the other side lengths is 94 inches. Find the side lengths

Answers

[tex]\begin{cases} a = shortest\\ b = medium\\ c = longest \end{cases} \begin{array}{llll} \stackrel{\textit{perimeter is 57}~\hfill }{a + b + c = 57}~\\\\\stackrel{\textit{twice longest minus shortest}}{2c-a=22~\hfill }\\\\ \stackrel{\textit{longest plus twice others}}{c + 2(a+b) = 94~\hfill } \end{array} \\\\[-0.35em] ~\dotfill\\\\ 2c-a=22\implies 2c=a+22\implies \boxed{2c-22=a} \\\\\\ \stackrel{\textit{we know that}}{c+2(a+b)=94}\implies c+2a+2b=94\implies c+2(2c-22)+b=94[/tex]

[tex]c+4c-44+2b=94\implies 5c-44+2b=94\implies 5c+2b=138 \\\\\\ 2b=138-5c\implies \boxed{b = \cfrac{138-5c}{2}} \\\\\\ \stackrel{\textit{we know the perimeter is}}{57=a + b + c}\implies 57 = \stackrel{a}{(2c-22)}+\stackrel{b}{\cfrac{138-5c}{2}}+c \\\\\\ 57=2c-22+\cfrac{138}{2}-\cfrac{5c}{2}+c\implies 57=3c-22+69-\cfrac{5c}{2} \\\\\\ 57=3c-47+\cfrac{5c}{2}\implies 10=3c-\cfrac{5c}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{20=6c-5c}[/tex]

[tex]\blacktriangleright 20=c \blacktriangleleft \\\\\\ \boxed{2c-22=a}\implies 40-22=a\implies \blacktriangleright 18=a \blacktriangleleft \\\\\\ \boxed{b = \cfrac{138-5c}{2}}\implies b=\cfrac{138-5(20)}{2}\implies b=\cfrac{38}{2}\implies \blacktriangleright 19 \blacktriangleleft[/tex]

If you apply these changes to the linear parent function, f(x) = x, what is the
equation of the new function?
• Vertically compress by a factor of 7.
• Shift up 9 units.
O A. DY) = 7x+9
O B. g(x) = = x+9
O C. () = 7(x-9)
O D. g(x) = + (x+9)

Answers

Answer:

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

Step-by-step explanation:

Vertically compress by a factor of 7.

Vertically compressing a function by a units is the same as:

[tex]g(x) = f(ax)[/tex]

In this question:

[tex]f(x) = x, a = 7[/tex]. So

[tex]g(x) = f(7x) = 7x[/tex]

Shift up 9 units.

Shifting a function up a units is the same thing as adding a to the function. In this case, [tex]a = 9[/tex], and then:

[tex]g(x) = 7x + 9[/tex]

The equation of the new function is [tex]g(x) = 7x + 9[/tex]

Pls help its due at 11:10

Answers

Answer:

firstly

we all know that the angles of a triangle they all add up to 180° meaning when you add them all they must give you 180°

88°+33°+L = 180° ( sum of angle in a ∆)

121° + L = 180°

L = 180° - 121°

L = 59°

Step-by-step explanation:

first you you must add all your angles and all equal to 180°

that you add the like terms

than you transpose 121° to the right hand side

Madge has cut out two triangular shapes from a block of wood, as shown below. Are the two shapes similar? Show your calculations.

Answers

Yes, the larger one is twice the smaller one.
8*2=16
5*2=10

What is the value of log Subscript 5 Baseline 125?

Answers

Answer:

[tex]log_5 \ 125 = 3[/tex]

Step-by-step explanation:

[tex]log_5 \ 125 = log_2 \ 5^3 = 3 \times log_5 \ 5 = 3 \times 1 = 3[/tex]

The value of [tex]$\log _{5} 125$[/tex] can be estimated utilizing the logarithm rule. The value of [tex]$\log _{5} 125$[/tex] exists 3.

What is a logarithm?

The logarithm stands for the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent.

Given:

[tex]$\log _{5} 125$[/tex]

Estimate the value of the given logarithm, we get

[tex]$\log _{5} 125=\log _{5}(5)^{3}$[/tex]

[tex]$\log _{5} 125=3 \log _{5} 5$[/tex]

From logarithm rule [tex]$\log m^{n}=n \log m$[/tex], we get

[tex]$\log _{5} 125=3 \times 1$[/tex]

[tex]$\log _{5} 125=3$[/tex]

Therefore, the value of [tex]$\log _{5} 125$[/tex] is 3.

To learn more about logarithm

https://brainly.com/question/26240264

#SPJ2

7x_=8x7 Nonsense report

Answers

Answer:

hope it help ful ✓ ......

the single discount of two successive discounts 10% and 5% is​

Answers

Answer:

14.5%

Step-by-step explanation:

Use the number 100 as an example to find the single discount.

Take a 10% discount off of this:

100(0.9)

= 90

Take a 5% discount:

90(0.95)

= 85.5

So, after the successive discounts, $14.5 was discounted.

This means that the single discount is 14.5%.

So, the answer is 14.5%

As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many different ways can the players create a specific 5 symbol password?

Give your answer in simplest form.

Answers

Answer:

[tex]15,120[/tex]

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of [tex]9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}[/tex] permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.

Answer:15,120

Step-by-step explanation:

Please help ,cant figure it out. ​

Answers

Answer:

B. √2^5

Step-by-step explanation:

(2^½. 2^¾)²

= 2¹ . 2^(1½)

= 2^(2½)

= 2^(5/2)

=√2^5

Y=4x pls help pls help

Answers

(1,4),(3,12),(5,20) since (x,y)

Answer:

(1,4) , (3,12) , (5,20)

Step-by-step explanation:

You should put the first number in X and find the second number from equation.

Y=x^3/2(x^2+1) I need the steps.

Answers

Answer:

0

Step-by-step explanation:

If you are looking for the x- intercept image is below

if you are looking for the y- intercept its the same as the x. Image is below

I need to find the equal expression to -m(2m+2n)+3mn+2m². Help please?

Answers

[tex]m(2m+2n)+3mn+2m^2\implies \stackrel{\textit{distributing}}{2m^2+2mn}+3mn+2m^2 \\\\\\ 2m^2+2m^2+2mn+3mn\implies \stackrel{\textit{adding like-terms}}{4m^2+5mn}[/tex]

What are elliptic and hyperbolic geometries? Why were they developed?

Answers

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

The key fact that makes elliptic and hyperbolic geometries different from Euclidean geometry is the consideration of curvature in spaces.

In this case, Euclidean geometry considers only spaces with no curvatures, whereas elliptic geometry considers spaces with a constant negative curvature and hyperbolic geometry makes with spaces with a constant positive curvature.

The elliptic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant negative curvature.

The hyperbolic geometry is a formal geometric system which satisfies the first four Euclidean postulates and considers solely spaces with a constant positive curvature.

These formal systems were developed to demonstrate the possibility of the existence of geometries in which the fifth Euclidean postulate is not observed.

We kindly invite to check this question on non-Euclidean geometry: https://brainly.com/question/16972917

6. There were 900 sweets in 3 boxes, A, B and C. 18 sweets were transferred from A to B and 5
sweets were transferred from B to c. of the sweets in C were then transferred to A. There were
then an equal number of sweets in all 3 boxes. How many sweets were there in each box at first?
28

Answers

Answer: a=168, b=287, c=445

Step-by-step explanation:

Alex drives at an average speed that is
1
5
of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 12 km in her car.
Roy travels for 1 hour and 20 minutes on his train.
How far does Roy travel to 2 dp?





plz i need asap

Answers

Answer:

ayy sensya na po Yan din po hanap Kong answer

Which graph shows the line y = 2x + 3?
C
НА
A
D
B
A. Graph A
Ο Ο
B. Graph D
C. Graph B
D. Graph C

Answers

the answer is letter B.graph D

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.

1. 4
2. 1/4
3. -1/4
4. −4
Please help!!

Answers

Answer:

1. 4

Step-by-step explanation:

the slope of:

f(x) = 10/2=5

g(x) = 10/½=20

so, g(x) = f(4.x)

=> k = 4

Other Questions
how tall is three feet 4-What is the major problem with closed form questionnaires?1. They are context-dependent.2. They take away the freedom of the respondents in answering the questions.3. They are difficult in scoring.4. They give limited time to respondents to answer the questions. Assume BarnesandNoble.com has 289 business math texts in inventory. During one month, the online bookstore ordered and received 1,855 texts; it also sold 1,222 on the web. What is the bookstores inventory at the end of the month? If each text costs $59, what is the end-of-month inventory cost? Which type of radiation can reach the furthest?A. BetaB. GammaC. Alpha Your company resides in an area with rapid growth in both the corporate and residential areas surrounding your office. As such, your company has been experiencing several brownouts due to power grid problems (too much demand and not enough electricity). Fearing that your computers (especially the servers) could be damaged by these brownouts, your manager has asked you to find a solution to this problem.Which of the following would be the BEST device to recommend to your manager for computer protection?A. Surge suppressorB. Power stripsC. UPSD. Wall Outlet What are 2-3 sustainable development global goals for South Africa if the conflict is that although kids are supposed to attend school they do not always have the resources necessary to learn. There is not a school system that regulates all schools to give all students an equal education throughout africa Qu oracin usa el pretrito perfecto de subjuntivo correctamente?Esperar que la entrevista de trabajo haya sido un xito. Espero que la entrevista de trabajo haya sido un xito.Esperaba que la entrevista de trabajo fuera un xito.He esperado que la entrevista de trabajo haya sido un xito. Which of the following are examples of direct contact that could lead to the spread of communicable diseases? Check all that apply..sneezing.coughing.kissing.engaging in sexual activity What would a student most likely use if he or she wanted to consult asecondary source? Kip has a collection of 68 marbles. Each glass marble has a mass of 18.5 grams. Each steel marble has a mass of 66 grams. What is the total mass of 48 glass marbles and 20 steel marbles in kilograms? PLS HELP! Your company has an average inventory of $70 million. Annual cost of goods sold (COGS) is $280 million. Profit in the most recent year was $140 million. What are annual inventory turns for your company Help. Urgent. Skenekeks Which group identifies causes of the War of 1812?O Group AGroup AProblems with the French over British rightsEmbargoes on British goodsDisputes over navigable watersAmericans joining the British ArmyO Group BGroup BResentment of Britain from the RevolutionImpressment of American sailorsBritish trade restrictionsAmerican Indian alliances with Britain Texto laguna de Manuel rojas, A qu problema se enfrenta el narrador al principio de la historia? Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth. Question 2 - Cost of a PaverThe pavers cost $8 per square metre ($8/m?). There are 4 pavers in asquare metre.Calculate how much one paver costs. Show your working2$ each X+ 5If m(x) =x-1 and n(x) = x-3, which function has the same domain as (mon)(x)?X+5O (x)=1111o h(x)=X-111O (X)=X-411Oh(x) =X-3 How does the author's use of language and style enable readers to distinguish between the voices of the characters Which mountain range is on the western coast of the United States? Appalachian MountainsSmoky MountainsRocky MountainsMount Everest BRAINLIEST IF CORRECT A student in your class made the claim that when animals eat fruits from plants, they harm the plant and threaten its survival. Use evidence and scientific reasoning to refute the claim made by the student.