Triangle ABC is isosceles.

Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.

What is the measure of angle C?

25°
30°
60°
75°

Answers

Answer 1

Answer: 75°

Step-by-step explanation:

Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:

x + 5 + 3x + 3x = 180

simplify

7x + 5 = 180

subtract 5 from both sides

7x = 175

divide each side by 7

x = 25

plug 25 in for x to find the angle measure

3(25) = 75

Answer 2

The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).

The lengths of sides AC and AB are congruent.

Angle CAB = (x + 5) degrees.

Angle ABC = (3 x) degrees.

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:

⇒ x + 5 + 3x + 3x = 180

Rearrange the likewise terms and apply the arithmetic operation,

⇒ 7x + 5 = 180

Subtract 5 from both sides of the above equation,

⇒ 7x = 175

Divide both sides by 7 of the equation,

⇒ x = 25

Since Angle ∠ABC is (3 x) degrees.

Substitute the value of x = 25 to find the angle measure

⇒ Angle ∠C = 3(25) = 75°

Therefore, the measure of angle ∠C would be 75 degrees.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ6


Related Questions

I NEED HELPPPPP!!!! PLZZZ

Answers

Answer:

13.5

Step-by-step explanation:

1. Consider a sphere with a radius with an 18 inches.
Part A: Determine the surface area of the sphere.​

Answers

Answer:

Surface Area = 4071.5

Step-by-step explanation:

A = 4 π [tex]r^2[/tex]

A = 4 ×π×18×18

A = 4071.5

Bravo!

The smallest animal that lives on land is the pygmy shrew. This animal weighs about 5 x 10-2
ounce. Which number shows another way to express 5 x 10-2?
50.0
0.50
0.05
5.00


PLLSS HELLPP​

Answers

Answer:

5.00

Step-by-step explanation:

Answer:

5.00

Step-by-step explanation:

Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions

Answers

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

PLSSSS help
Marking BRainlist

Answers

Answer: x = 14 for the first one, x = 4 for the second

Step-by-step explanation:

8x - 9 = 7x + 5

subtract 7x from both sides

x - 9 = 5

add 9 to both sides

x = 14

8x + 9 = 3x + 29

subtract 3x from both sides

5x + 9 = 29

subtract 9 from both sides

5x = 20

divide both sides by 5

x = 4

the first one is

x = 14

the second one is

x = 4

Write this algebraic expression in words 5(n-4)+7

Answers

Answer:

Five times the difference of n and four plus seven

Step-by-step explanation:

Five times the difference of n and four plus seven

Answer:

five multiplied by the difference of N and four plus seven

please help me!!!!!!!!!!​

Answers

Answer:

(1,4)

(2,6)

(3,8)

(4,10)

(5,12)

Step-by-step explanation:


PLEASE ANSWER CLEARLY YOU CAN EITHER PUT JUST A LETTER OR THE LETTER AND IT'S ANSWER THANK YOU, EVERYONE! :)

The dimensions of a rectangle are represented by the functions shown.


Which function represents the area of the rectangle?

A. 12x2 + 15x – 10

B. 12x2 + 7x + 10

C. 12x2 – 8x – 10

D. 12x2 + 7x – 10

Answers

Answer:

D

Step-by-step explanation:

multiply it out

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

12x^2 +15x - 8x -10

= 12x^2 + 7x - 10

Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (x2 + 4x − 2) + (x2 − 2x − 4) = 2x2 + 2x + 2
B. (x2 + 4x − 2) + (x2 + 2x + 4) = 2x2 + 2x + 2
C. (x2 + 4x − 2) − (-x2 + 2x − 4) = 2x2 + 2x + 2
D. (x2 + 4x − 2) − (-x2 − 2x + 4) = 2x2 + 2x + 2

Answers

Answer:

Hello there the Correct answer The only answer choice that produces -2x²+2 is D.

Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2

answer: D

Hope It Helps!

The correct option is D.

How are algebra tiles named?

We name the Algebra Tile pieces by considering the area of each, meaning we need to know the dimensions of each piece. If the small yellow square has a length of 1 unit, the area of the small square is 1 square unit. Then the long green rectangle has dimensions 1 by x and has an area of x square units.

What are algebra tiles examples?

Algebra tiles are square and rectangle-shaped tiles or tiles that represent numbers and variables. For example, we can use square tiles to represent numbers. Each square tile is equal to one. So, four can be represented by four square tiles.

Learn more about algebra tiles here https://brainly.com/question/26940679

#SPJ2

Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8

Answers

381.5 because it is......

MULTIPLE CHOICE:

A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3

Answers

Answer:

C

Step-by-step explanation:

The first term -2 is also -B; therefore A and B can be eliminated.

-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated

Please help ;-;, I really need it-

Answers

Answer:

See below

Step-by-step explanation:

For a more detailed explanation, take a look at PDF below;

Surface Area of First Figure; 544 in^2,

Surface Area of Second Figure; 276 ft^2,

Surface Area of Third Figure; 1240 yd^2

Five more than a certain number is 11 less than double the number

Answers

Answer:

The number is 16

Step-by-step explanation:

Five more than a certain number is 11 less than double the number

x+5 = 2x-11

11+5 = 2x-x

16 = x

9 is five more than 4 and (2x9=18) 18 is 11 less than 9

Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36

Answers

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

Find the inequality represented by the graph.
URGENTT

Answers

Answer:

y < 3/4x

Step-by-step explanation:

Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2

Answers

Answer:

35 cm2

Step-by-step explanation:

Answer:

The area of the trapezoid would be 30 cm squared.

Step-by-step explanation:

Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?

Answers

Answer:

479.375

Step-by-step explanation:

Answer:

$444.67

Step-by-step explanation:

A P E X

A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?

A. m/8
b. m-8
c. 8m
d. 8÷m

Answers

Answer:A Idk if this is right!

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Answers

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

Combine the Expression:(10x - 4) + (-7 + x)

Answers

Answer:

11x-11

Step-by-step explanation:

(10x-4)+(-7+x)

10x-4-7+x

11x-11

Answer:

11x-11

Step-by-step explanation:

10x+x=11x

-4+(-7)=-11

11x-11

if this is right a brainliest would be very appreciated!

Determine the area of the composite figure to the nearest whole number.
A) 132 ft²
B) 176 ft²
C) 184 ft²
D) 216 ft²

Answers

Answer:

B) 176 ft²

Step-by-step explanation:

asdasdddddddddddddddddasdasdasdasdsa

You can just use Socratic

HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY

Answers

Answer:

the answer is c

Step-by-step explanation:

What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x

Answers

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

HOW TO OPEN BRACKET?

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

Learn more about factorization at: https://brainly.com/question/6810544

Larry, Barry, Terry are saving their money for a trampoline that costs $340.

• The amount of money Larry has saved can be represented by x.
• The amount of money Barry has saved is 1
1
2
times the amount Larry has saved.
• The amount of money Terry has saved is 1
1
3
times the amount Larry has saved.
• The total amount of money saved by Larry, Barry, and Terry is $322.

What is x, the amount of money saved by Larry?

Answers

Answer:

Larry=X

Barry=112x

Terry=113x

L+B+T=322

x+112x++113x=322

226×=322

Larry saved $1.42

Answer:

$84

Step-by-step explanation:

I did it before.

omg please help meee fastttt​

Answers

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.

Answers

Answer:

There needs to be a graph.

Step-by-step explanation:

The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.

What is proportionality?

We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.

From the table, we need to find the rate of change between two given hours and the miles traveled at that time.

Now,

Between 1 hour and 2 hours.

The rate of change.

= (26 - 12) / (2 -1)

= 14 / 1

= 14

Between 2 hours and 3 hours.

The rate of change.

= (30 - 26) / (3 - 2)

= 4 / 1

= 4

Between 3 hours and 4 hours.

The rate of change.

= (48 - 30) / (4 - 3)

= 18 / 1

= 18

Since,

The rate of change is not the same for all the cases so,

Hence, the relationship between hours biked, and the miles traveled is not proportional.

Learn more about proportionality here:

https://brainly.com/question/29126727

#SPJ3

Please help me I have to go to a class and I need this fast

Answers

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution

Answers

Answer:

y ≥ 3x

Possible solution:  x=1, y=3

Step-by-step explanation:

Since Henry has atleast 3 times as much money as Deb

y=3x

y must always be greater than or equal to 3x

if x=1 y=3

Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678

Answers

Answer:2

Step-by-step explanation:22*

Answer:

5 = 25 = 5

6 = 36 = 6

7 = NA

8 = 81 = 9

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution

Answers

Answer:

C. x = 5, y = -2

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

Other Questions
Which expression represents the following calculation subtract 32 from the product of 48 and 15 Domain: All real numbersDomain: 3 > 0Domain: X < 0Range: All real numbersRange: y > 0Range: y < 0 Milton Friedman argues that __________.O corporations today should adopt a broader view of their social responsibilities than they have in the past. O corporate officials have a social responsibility that goes beyond serving the interests of their stockholders. O strict governmental controls are necessary if society is to maximize its overall economic well-being. O a business's only social responsibility is to maximize profits within the rules of the game. Ski lift carry people along 150 m cable up the side of a mountain. Riders are lifted a total of 75 m in elevation. What is the ideal mechanical advantage of the ski lift? What is the equation of the graph below?On a coordinate plane, a curve goes through (0, 0). It has a maximum of 1 and a minimum of negative 1. It goes through one cycle at StartFraction 2 pi Over 3 EndFractiony = sine (StartFraction x Over 3 EndFraction)y = sin(3x)y = sin(0.3x)y = sine (StartFraction 2 x Over 3 EndFraction) Study the diagram of a cell.Which structure is found only in plant cells and functions in the process of photosynthesis?wxyz What is one way scientists can identify a black hole? Rounded to the nearest hundredths 27.5=3+5(k-9.5) Fill in the blank with the correct verb. I always ________ my book under the tree before playing.A) lyingB) lieC) layD) lain Because the North had moreit couldproduce more weapons than the South could. Fitzgerald is well-known for which of the following in his novels? Can u guys help pls? This is due in 10 mins What were some of the natural resources that attracted Europeans to Africa in the 1800s? Check all that apply. What is the probability of spinning blue on the image shown?ITS ON THINK THRU MATH NEED HELP SOMEONE HELP. RIGHT ANSWERS ONLY. PLEASE AND THANKYOU. Fill in the blank with the correct term. The hormone and glucagon help the human body regulate the level of blood glucose. Evaluate (if possible) the six trigonometric functions of the real number t. (if an answer is underfunded, enter UNDEFINED) T= 4 /3Sin t=Cos t=Tan t=Csc t=Sec t=Cot t= A force of 1000 Newtons is used to push a box on a flat floor. It accelerated at a rate of 5 m/s2. What is the mass of the wagon? If the government set a price ceiling of $40, there would be: Group of answer choices a shortage (or excess supply) of about 8 units a shortage (or excess supply) of about 12 units a surplus (or excess demand) of about 8 units a surplus (or excess demand) of about 12 units Two types of emission spectra line spectra and continuous spectra TrueFalse