9. AC ATis an isosceles triangle with base angles Cand Teach represented by (3 x +11)

degrees, while angle A is represented by (9 x+8) degrees. Find the measure of angle

C.

Answers

Answer 1

Answer:

41°

Step-by-step explanation:

A triangle is a shape with three angles and three sides. There are different types of triangles such as equilateral triangle, scalene triangle, isosceles triangle, right angled triangle and so on.

An isosceles triangle is a triangle in which two sides and two angles are equal to each other.

In triangle CAT, ∠C = ∠T (base angles of an isosceles triangle are equal):

∠A + ∠C + ∠T = 180° (sum of angles in a triangle).

Hence substituting gives::

(9x + 8) + (3x + 11) + (3x + 11) = 180

9x + 3x + 3x + 8 + 11 + 11 = 180

15x + 30 = 180

15x = 180 - 30

15x = 150

x = 150 / 15

x = 10°

Hence ∠A = 9x + 8 = 9(10) + 8 = 98°, ∠C = ∠T = 3x + 11 = 3(10) + 11 = 30 + 11 = 41°


Related Questions

Solve for g.
what is g equal to?​

Answers

Answer:

[tex]\displaystyle g=\frac{4\pi^2l}{T^2}[/tex]

Step-by-step explanation:

Equation Solving

Given the equation

[tex]\displaystyle l=\frac{gT^2}{4\pi^2}[/tex]

It's required to solve it for g. Let's swap sides of the equation:

[tex]\displaystyle \frac{gT^2}{4\pi^2}=l[/tex]

Multiply by [tex]4\pi^2[/tex] to remove the denominator:

[tex]\displaystyle gT^2=4\pi^2l[/tex]

Divide by [tex]T^2[/tex]

[tex]\boxed{\displaystyle g=\frac{4\pi^2l}{T^2}}[/tex]

I need to find the measure of 3.

Answers

It’s 3

that would make sense

7m + 2 - 3m + 6
Simplify this expression.

Answers

Combine m terms (including signs in front)
7m -3m =4m

Now combine the constants including signs in front
2 +6 = 8

Answer is 4m +8

Answer:

4m+8

Step-by-step explanation:

7m+2-3m+6

combined the 7m and the 3m to get 4m

And combined the 2 and 6 to get 8

then add them to together and get 4m+8

hi

answer correct and I will follow you​

Answers

Answer:

you have the answer right

Sarah rolls a fair dice 96 times.

How many times would Sarah expect to roll a number greater than 2?

Answers

Answer:

56

Step-by-step explanation:

Answer:

my 16 inch

Step-by-step explanation:

What is the y-intercept shown in the graph?


Answers

The y-intercept is 0.

Answer:

0.5

Step-by-step explanation:

I don't know how to do

Answers

Answer:

20

Step-by-step explanation:

14:x::22.401:12.80

Gianna surveyor students about their lunch time preference. Out of 50 students 20 prefer eating lunch at 11am. 15 prefer eating at 11:50 am, 10 prefer eating eating at 11:30am, 5 have no preference. Based on the information, what is the probability that a student chosen at random has no time preferences?.​

Answers

Answer:

2.5 percent chance

Step-by-step explanation:

50 total students, only 5 students have no preference.

5% of 50 is 2.5

If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What is the largest possible number of students?​

Answers

Answer:

12 students

Step-by-step explanation:

Below numbers are divisible by the number of students:

28 - 4 = 2439 - 3 = 36

Lets find GCF of 24 and 36:

24 = 2*2*2*336 = 2*2*3*3GCF(24,36) = 2*2*3 = 12

The largest possible number of students is 12

What is 2/7 divided by 3/7

Answers

Answer: If you're talking about fractions, then it's 2/3.

Step-by-step explanation:

Step one is to divide.  Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.  And you should get your answer.

Given that answer please

Answers

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

[tex] sin(C) = \frac{7}{10} [/tex]

[tex] C = sin^{-1}(\frac{7}{10}) [/tex]

[tex] C = 44.427004 [/tex]

<BCA = 44.4° (to 3 SF)

Is it possible to build a triangle with sides lengths of 3,3 and 9

Answers

Answer:

it's not possible to build a triangle with side lengths of 3 3 and 9Step-by-step explanation:

I hope this helps!

Answer:

no its not possible

Step-by-step explanation:

What is equal to 2+1 1/5

Answers

Answer:

3 1/5

Step-by-step explanation:

.....

8-1 1/5
(Simplify your answer. Type a whole number, fraction, or a mixed number.)
orrect:

Answers

The answer is 6 4/5!

Answer:

34/5, 6 4/5

Step-by-step explanation:

1 1/5 = 6/5

8-6/5 = 40/5 - 6/5 = 34/5

The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.

Miles, m Gallons, g
0 20
20 19
40 18
60 17
A) Write a linear function that relates the amount of gasoline to the traveling distance.

B) How many gallons of gasoline are left after you drive 120 miles?

Answers

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problem

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

can someone help me please​

Answers

Answer:

15x + 9 (We combing like terms. Ex. 16x and -x)

Answer:

15x+9

Step-by-step explanation:

16x+7+2-x

16x-x+7+2

15x+9

What is 81% of 134
Thanks

Answers

Answer:108.54

Step-by-step explanation:

Answer:

108.54

Step-by-step explanation: turn 81% into a decimal, .81, then multiply by 134.

Figure ABCD is a kite.

Answers

The length of segment BC is 14 units

10.

Ms. Abbott's 6th grade class has 18 students with brown eyes and 12 students with blue eyes. Ms. Downey's 6th grade class has 15 students with brown eyes and 10 students with blue eyes. What is the ratio of brown eyed students in Ms. Abbott's class compared to the brown eyed students in Mrs. Downey's classroom? Choose all of the correct answers.
a.
3:2
c.
6:5
b.
2:3
d.
18:15

Answers

Answer:

6:5

18:15

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

X=-4+y and -2x-5y=15

Answers

Answer:

x=-5, y=-1

Step-by-step explanation:

Substitute x=-4+y into -2x-5y=15. So we have

-2(-4+y)-5y=15

8-2y-5y=15

-7y=7

y=-1

And x is -4+y so x= -4+(-1)= -5.

Can someone help? Thank you

Answers

Answer : B

The question is asking you to find how many real roots there are. You use factoring to find the roots of this polynomial function. The steps for factoring are to factor out the GCF, factor, and solve for the x’s.

You then determine negative and positive roots.

Write the mixed number as an improper fraction.
33/5

Answers

6 1/5 your welcome glad to help!
I’m pretty sure 33/5 is already an improper fraction but, 33/5 as a mixed number is 6 3/5. :D

Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one of three treatments: watching 20 minutes of a Hollywood action movie (The Island), watching the same 20-minute excerpt of the movie with no sound, and watching 20 minutes of an interview program. While watching, participants were given snacks (M&M’S®, cookies, carrots, and grapes) and allowed to eat as much as they wanted. Subjects who watched the highly stimulating excerpt from The Island ate 65% more calories than subjects who watched the interview show. Participants who watched the silent version of The Island ate 46% more calories than those who watched the interview show.36 Identify the explanatory and response variables in this study. Then determine if it is an experiment or an observational study. Explain your reasoning.

Answers

Answer:

The explanatory variable is the type of program the people watched. The response variable is the number of calories consumed. This was an experiment.

What is the 10th term in this sequence: 4, 8, 10, 12,...

Answers

24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Answer:24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Step-by-step explanation:

Select all of the answers that are elements of M = {x | x is a month of the year}

[x] x > 0 and x < 12}

{January, February, March, April, May, June, July, August, September, October,
November, December}

{April}

{September, October, November}

November

June

Answers

Answer:

{January, February, March, April, May, June, July, August, September, October, November}

Step-by-step explanation:

The set is formed by months of year with indexes larger than 0 and lesser than 12.

The year starts at month 1, which is January, and finishes at month 12, which is December.

Since we want lesser than 12, December is not part of the set. So the answer is given by:

{January, February, March, April, May, June, July, August, September, October, November}

Which inequality is equivalent to -6x>30

Answers

Answer:

x > -5

Step-by-step explanation:

[tex] - 6x > 30 \\[tex] 6x < - 30 \\ \frac{ 6x}{ 6} < \frac{- 30}{ 6} \\ x < - 5[/tex]

p=1/4q+8 make q the subject​

Answers

Answer:

q = 4p - 32

Step-by-step explanation:

P = 1/4q + 8

Making q the subject

P - 8 = 1/4q

Divide both sides by 1/4

q = (p - 8) ÷ 1/4

= (P - 8) × 4/1

= 4p - 32

q = 4p - 32

A store display shows two red shirts, four blue shirts, and

four shirts with red and white stripes. The display also

shows four pairs of blue jeans, two pairs of white pants, and

four pairs of red shorts. What is the probability of randomly

selecting an item with white or red on it?

0 2/5

03/5

0 3/10

1/5

Answers

Answer:

The probability is 3/5

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

There are 2 + 4 + 4 + 4 + 2 + 4 = 20 itens.

Of those, 2 + 4 + 2 + 4 = 12 itens have white or red.

So

12/20 = 3/5

Find the measure of<1

Answers

the answer is 4
30x+20=20x+60
when you simplify you get 20x=30x-40
simplify again and you get -10x=-40
divide each side by -10 and you get
x=4

Shamika knows she has been listening to a music playlist for 26 minutes when she looks at the clock showing the time below. What time did Shamika begin listening to the playlist?
answer fast pls

Answers

just subtract 26 minutes from the time on the clock :)
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