what is the measure of the base angle,x, of the isosceles triangle shown below? round your answer to the nearest tenth of a degree.​

What Is The Measure Of The Base Angle,x, Of The Isosceles Triangle Shown Below? Round Your Answer To

Answers

Answer 1

Answer:

x ≈ 49.7°

Step-by-step explanation:

Since, the given triangle is an isosceles triangle,

Two sides having measure 17 units are equal.

Opposite angles of these equal sides will be equal.

Measure of the third angle = 180° - (x + x)°

By sine rule,

[tex]\frac{\text{sinx}}{17}=\frac{\text{sin}(180-2x)}{22}[/tex]

[tex]\frac{\text{sinx}}{17}=\frac{\text{sin}(2x)}{22}[/tex] [Since, sin(180 - θ) = sinθ]

[tex]\frac{\text{sinx}}{17}=\frac{2(\text{sin}x)(\text{cos}x)}{22}[/tex]

[tex]\frac{\text{sinx}}{17}=\frac{(\text{sin}x)(\text{cos}x)}{11}[/tex]

[tex]\frac{1}{17}=\frac{(\text{cos}x)}{11}[/tex]

cos(x) = [tex]\frac{11}{17}[/tex]

x = 49.68°

x ≈ 49.7°


Related Questions

Can you please help me?

Answers

Answer:

1 = 3

2 = 6

3 = 9

Step-by-step explanation:

for every # it is multiplied by 3 (ex. 7 • 3 = 21, 8 • 3 = 24, ect.)

therefore if it is multiplied by 3 each time

then 1 • 3 = 3

2 • 3 = 6

and 3 • 3 = 9

hope this helps :)

I was gonna say that lol, but yea wht the person above me said

Which Of the following area models correctly describes the algebraic expression

x^2 + 2x + 3?

Answers

Answer:

C

Step-by-step explanation:

write an equivalent expression for 72p + 81 pls help I'm losing braincells​

Answers

Answer:

70p+80 + 2p+1

Step-by-step explanation:

they combine to the original expression

Answer:

[tex]9(8p+9)[/tex]

Step-by-step explanation:

I guess this is what you are looking for, if not what is the answer choices, or available answers.

Can someone plz help me with this one problem plzzzzz I’m being timed!!!!!!!

Answers

Answer:

3 = 2

5 = 4

6 = 5

Step-by-step explanation:

r the second # = p the first # - 1

Answer:

3 - 1 = 2

4 - 1 = 3

5 - 1 = 4

6 - 1 = 5

I think this is the answer.

Step-by-step explanation:

9 m
3 m
3 m
What is the area, in square meters, of the shaded region in the diagram?

Answers

Answer:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Step-by-step explanation:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Solve for the variable

Answers

Answer:

40

Step-by-step explanation:

Try to get the variable alone by dividing 5/8 on both sides of the equations.

That cancels out the 5/8 on the left leaving u and the 25 on the right turns into 40. It turns into 40 because 25 divided by 5/8 equals 40.

Answer:

40

Step-by-step explanation:

Multiply both sides by 8/5

What 2 numbers can be multiplied to make -100 as well as added to make -21?

Answers

Answer:

-50 x 2 or -25 x 4 or -10 x 10 all equal 100

-7 x 3 = -21

Answer:

-25 times 4

Step-by-step explanation:

-25 multiplied by 4 is -100 and is-21 when added together

Write two division equations for each multiplication equation. 15⋅25=6 15 ⋅ 2 5 = 6 6⋅43=8 6 ⋅ 4 3 = 8 16⋅78=14

Answers

Answer:

[tex](a)[/tex] [tex]\frac{30}{5} = 6[/tex] and [tex]\frac{60}{10} = 6[/tex]

[tex](b)[/tex] [tex]\frac{24}{3} = 8[/tex] and [tex]\frac{96}{12} = 8[/tex]

[tex](c)[/tex] [tex]\frac{112}{8} = 14[/tex] and [tex]\frac{28}{2} = 14[/tex]

Step-by-step explanation:

Given

[tex](a)\ 15 * \frac{2}{5} = 6[/tex]

[tex](b)\ 6 * \frac{4}{3} = 8[/tex]

[tex](c)\ 16 * \frac{7}{8} = 14[/tex]

Required

Write 2 division equations

[tex](a)\ 15 * \frac{2}{5} = 6[/tex]

Express 15 as 15/1

[tex]\frac{15}{1} * \frac{2}{5} = 6[/tex]

Multiply numerator and denominator

[tex]\frac{30}{5} = 6[/tex] --- This is (1)

Multiply the fraction by a common term (e.g. 2)

So, we have:

[tex]\frac{30*2}{5*2} = 6[/tex]

[tex]\frac{60}{10} = 6[/tex] ---- (2)

[tex](b)\ 6 * \frac{4}{3} = 8[/tex]

Express 6 as 6/1

[tex]\frac{6}{1} * \frac{4}{3} = 8[/tex]

Multiply numerator and denominator

[tex]\frac{24}{3} = 8[/tex] --- This is (1)

Multiply the fraction by a common term (e.g. 4)

So, we have:

[tex]\frac{24*4}{3*4} = 8[/tex]

[tex]\frac{96}{12} = 8[/tex] ---- (2)

[tex](c)\ 16 * \frac{7}{8} = 14[/tex]

Express 16 as 16/1

[tex]\frac{16}{1} * \frac{7}{8} = 14[/tex]

Multiply

[tex]\frac{112}{8} = 14[/tex] ---- This is (1)

Divide the fraction by a common term (e.g. 4)

[tex]\frac{112/4}{8/4} = 14[/tex]

[tex]\frac{28}{2} = 14[/tex]

help it is due tomorrow morning​

Answers

the true one

miguel save 60$ on 4 months

The false one

After 2 months miguel has 20$

Stacey works at the park 5 months out of the year. What percent of the year does she work? Round to the nearest hundredth.
help meee

Answers

41.68% :))))))))))))))))

Yo HELPPPPP ITS DUE TONIGHT

Answers

Answer:

A is 9, 4

B is 8, -1

C is 5, 1

write the linear equation in slope-intercept from the information given
point (2,-4)
slope= -3

Answers

Answer:

y=-3x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-3(x-2)

y+4=-3x+6

y=-3x+6-4

y=-3x+2

Help!!!!! This is only a review!!!!!! Question is on image below.

Answers

No, the ratios aren’t equivalent

The triangles are similar. Find the value of x =

Answers

1 1/7 2 4/5kskskkskskksks

ASAP PLSSS help me with this math question

Answers

Answer:

Answer is D

Step-by-step explanation:

just took the test and got it right

Please mark brainlest

someone please help with this one to

Answers

Answer:

Non linear positive association

Answer number 2 and I hope it helps and have a nice day

x ^ 4 * y ^ 2 How many terms does this polynomial have?

Answers

Answer: 1 term

Step-by-step explanation:

Terms have to be separated by an Addition or Subtraction sign

If the sign is multiplication or division, then that part is only one term

EMERGENCY PLEASE HELP!!

Use properties of equality to isolate y.

x + y = 10

y = ?

Answers


10 - x

I think. As you are looking for y so you take away 10 from as to get your answer of y

Answer:

x+y=10

y=10-x

To  isolate y, you subtract x on both sides.

Let me know if this helps!

I need help on this quick

Answers

Answer: So? You put nothing

Step-by-step explanation:

Ok there’s no question thanks

What do you call an alligator in a vest?

Answers

Answer:

An InVESTtigator

Step-by-step explanation:

I've heard this before

Answer:

An Investigator.

covert this repeating decimal into a fraction

Answers

Answer: 4311/9900 or 479/1100

Step-by-step explanation:

Okie so in order to do this, we need to get rid of the repeating part of the decimal

==============================================================

Right now we have x = 0.435454545454...

If we multiply this by 100, we get

100x = 43.545454545454

And if we multiply by 10000 we get

10000x = 4354.5454545454

==============================================================

Subtract the two equations

10000x = 4354.5454545454

100x = 43.545454545454

------------------------------------------------- (notice: the repeating part will cancel out)

9900x = 4311

x = 4311/9900

If you simplify the fraction you get: 479/1100

The fraction that represents the repeating decimal is

[tex]\frac{479}{1100}[/tex]

Given :

A repeating decimal  [tex]0.4354545454...............[/tex]

there is bar at 54 , so 54 is repeating

We need to convert this decimal into fraction

54 is repeating so we multiply by 100

Let x= [tex]0.4354545454...............\\[/tex]

[tex]100x=43.54545454...............[/tex]

Now we subtract x from 100x

[tex]100x=43.54545454...............\\ x= 0.4354545454...............\\-----------------------------------------\\ 99x=43.11[/tex]

Now divide both side by 99

[tex]x=\frac{43.11}{99} \\[/tex]

multiply top and bottom by 100 to remove the decimal

[tex]x=\frac{4311}{9900} \\Divide \; top \; and \; bottom \; by 9\\x=\frac{479}{1100}[/tex]

Learn more :

brainly.com/question/15666599

Help ur gurl out.




Lol

Answers

Explanation:

4²+4²≠8²

(4+4)²=8²

If you use PEMDAS you can find that 4²+4²=32 not 8² which equals 64

You can also find that (4+4)²=(8)²

solve for x: tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) =sinø.(sin180-ø) ​

Answers

Is there a picture that I’m able to look at??

Answer:

Below.

Step-by-step explanation:

tan(180-ø).tan(90+ø)+xcos(90+ø).(cos90-ø) = sinø(sin180-ø)

xcos(90+ø).(cos90-ø) =  sinø(sin180-ø) -  tan(180-ø).tan(90+ø)

x =  (sinø(sin180-ø) -  tan(180-ø).tan(90+ø)) / cos(90+ø).(cos90-ø)

x = - (sin^2ø + tanø(tan(90+ø)) / cos^2ø

What is m А
105°
86°
C
E
137°
D

Answers

Answer:

122 degrees

Step-by-step explanation:

*A pentagon has a total of 540degrees

1st step: take all of the degrees and add them up:

105 + 90 + 86 + 137 = 418

2nd step: subtract the sum from 540:

540 - 418 = 122

The missing angle is 122 degrees

Answer:

∠ C = 122°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540°

∠ C + 137° + 86° + 105° + 90° = 540 , that is

∠ C + 418° = 540° ( subtract 418° from both sides )

∠ C = 122°

4x + y = 7 and passes through the point (1, 8)?

Plz hurry!!!!!!!

Answers

The answer is in this file .ddd.guy.answer

Rayyan runs an average distance of 650 m each day. Find the total distance he runs in 7 days. Give your answer in Km.

14.75 km

4.65 km

4.90 km

4.55 Km​

Answers

The answer would be 4.55 Km
Do 650*7=4,550
Then do 4,550/1,000=4.55
Hope this helps!

For the telephone bill, Etisalat charges you a fixed amount of 50 AED each month, plus 0.25 AED per minute of usage. My Bill last month was 140 AED, write an equation than can help me find the number of minutes I talked last month. Do not solve the equation.. Single line text.

Answers

Answer:

so its 50+.25(x) = y or 140. x is amount of minutes y is total

Answer:

140

Step-by-step explanation:

Tracy has to buy comic books to pay for a movie ticket. Each comic book costs 10$. Write an inequality that can be used to determine how many comic books, b, tracy can buy.

Answers

Answer:

c=b

Step-by-step explanation:

b is not equal to c.

Answer:

$35 - 3b is greater or equal to $10

Step-by-step explanation:

Remember that:

     Dollars spent on an item = (cost of one item)*(number of items), so –

        Dollars spent on comic books = $3b

“Tracy has $35 to buy comic books and to pay for a movie ticket”   means

     (Money spent on comic books) + (money spent on movie ticket) ≤ $35

     (Money spent on comic books + $10 ≤ $35

                  $3b + $10 ≤ $35                           [just substituting values]

Now, we must modify the inequality, so remember the rules –

       $35 ≥ $3b + $10      [reverse right-to-left reverses the sense of the inequality;

             $35 is greater or equal to the total amount Tracy can spend]

       $35 - $3b  ≥ $10   [subtract positive 3b from both sides

                   keeps the sense of the inequality]

Jaime has two fractions, 318 and 1315, that he needs to compare. He knows he will not be able to tell which is bigger until they have been rewritten with the same denominator. Which of the following shows both of these fractions rewritten with their least common denominator? Select one:

A. 636 and 3036
B. 960 and 5260
C. 30180 and 156180
D. 1590 and 7890

Answers

Answer:

* 5 oy

*25 puan

* takip

Step-by-step explanation:

Cevap( A)

Help guys i will give brainliest

Answers

Answer:

TU!!!!!

Step-by-step explanation:

but what is ur queatiln

Answer:

What can I help you with?

Step-by-step explanation:

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