The measures of two angles of a triangle are 101° and 37°. Find the measure of the third angle in degrees.

Answers

Answer 1

Answer:

42 degrees

Step-by-step explanation:

We already have the two angles for the triangle, we just need the third. For triangles, the can only add up to 180 degrees. 101+37=138 degrees, now we subtract 138 from 180.

180-138=42.


Related Questions

Find the first five terms of the following sequence, starting with n=1. tn=(−1)n+1(n2−9) Give your answer as a list, separated by commas. For example, if tn=n, you would give your answer as 1,2,3,4,5.

Answers

Answer:

-8, 5 , 0 , -7 , 16

Step-by-step explanation:

Given

[tex]t_n = (-1)^{n+1}(n^2 - 9)[/tex]

Required

The first five terms

When [tex]n = 1[/tex]

[tex]t_1 = (-1)^{1+1}(1^2 - 9)[/tex]

[tex]t_1 = (-1)^{2}(1 - 9)[/tex]

[tex]t_1 = -8[/tex]

When [tex]n =2[/tex]

[tex]t_2 = (-1)^{2+1}(2^2 - 9)[/tex]

[tex]t_2 = (-1)^3 * (4 - 9)[/tex]

[tex]t_2 = 5[/tex]

[tex]t_3 = (-1)^{3+1}(3^2 - 9)[/tex]

[tex]t_3 = (-1)^{4}(9 - 9)[/tex]

[tex]t_3 = 0[/tex]

[tex]t_4 = (-1)^{4+1}(4^2 - 9)[/tex]

[tex]t_4 = (-1)^5(16 - 9)[/tex]

[tex]t_4 = -7[/tex]

[tex]t_5 = (-1)^{5+1}(5^2 - 9)[/tex]

[tex]t_5 = (-1)^{6}(25 - 9)[/tex]

[tex]t_5 = 16[/tex]

So, the first five terms are: -8, 5 , 0 , -7 , 16

Which calculation and answer show how to convert 9/16 to a decimal?

Answers

Answer:

answer d

Step-by-step explanation:

fraction to decimal conversion is basically 9÷16

which is 0.5625

In the picture below, which lines are lines of symmetry for the figure?
A. none
B. 1, 2, and 3
C. 1 and 3
D. 2 and 4

Answers

Answer:

i gues none... bcuz its irregular symmetry shape

Answer:

1 because it takes a full rotation to get back to a symmetrical shape. or 2 because it is the same halfway around.

Solve 3! Pleaseeee help

Answers

81, triangle angles add up to 180

Answer:

81

Step-by-step explanation:

180-41-58=81

angles in a triangle add up to 180 :)


Which best describes the relationship between the lines with equations x + 8y = -1 and —8x +y = -1?

Answers

Answer:

the lines are perpdicular if you were to get some graph paper and graph u would see

I need some help please!!!

Answers

9514 1404 393

Answer:

  13 < √181 < 14

Step-by-step explanation:

Apparently, you're supposed to know that ...

  13² = 169

  14² = 196

so √181 will lie between 13 and 14.

  13 < √181 < 14

.

b) Lấy được ít nhất một quả cầu trắng

Answers

Answer:

I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer. I don't know the answer.

There are nickles and quarters worth $2.20 in total. If there are 28 coins, how many nickels are there?

Answers

Answer:

There are 24 nickels

Step-by-step explanation:

Let x represent the number of nickels

Let y represent the number of quarters
—————————————————————

Value Value
Type Number of of
of of each all
Coin Coin Coin Coin
—————————————————————
Nickels | x | $0.05 | $0.05x
Quarters | y | $0.25 | $0.25y
—————————————————————
Totals 28 ——— $2.20
•••••••••••••••••••••••••••••••••••••••••••••••••

The first equation comes from the “Number of coins” column.

(Number of nickels) + (Number of quarters) = (total number of coins)

Equation: x + y = 28
—————————————————————
The second equation comes from the “value of all coins” column.

(Value of all nickels) + (Value of all quarters) = (Total value of all coins)

0.05x + 0.25y = 2.20

Remove the decimals by multiplying each term by 100:

5x + 25y = 220
—————————————————————
So we have the system of equations:

{x + y = 28
{5x + 25y = 202

Solve by substitution. Solve the first equation for y:

x + y = 28
y = 28 - x

Substitute (28 - x) for y in 5x + 25y = 220

5x + 25 (28 - x) = 220
5x + 700 - 25x = 220
-20x + 700 = 220
-20x = -480
x = 24

The number of nickels is 24.
————————————————————
Substitute in y = 28 - x
y = 28 - (24)
y = 4

The number of quarters is 4.
————————————————————
Checking:

24 nickels is $1.20 and 4 quarters is $1.00
That’s 28 coins.
Indeed $1.20 + $1.00 = $2.20
————————————————————

Help please!!!
I need this assignment done today

Answers

Answer:

x- 1

y-5

z-3

Step-by-step explanation:

all u have to do is calculate the distance, so for example y is 5 because - -4 -3 -2 -1 0 1 and that is a 5 number distance

X-1
Y-5
Z-3
Those should be the answers

When Asia was young, her father marked her height on the door frame every month. He noticed that between the ages of one and three, he could predict her height (in inches) by taking her age in months, adding 75 inches, and multiplying the result by one-third.

Create an equation linking her predicted height, h, with her age in months, m, and solve to find when her height will be 30 inches.

Answers

Answer:

15 months old.

Step-by-step explanation:

Let m = months and h = height:

h = 1/3(m + 75) ⇔ h = 1/3m + 25

Let h = 30:

[tex]30=\frac{1}{3}m+25\\5=\frac{1}{3}m\\15=m[/tex]

Therefore, when Asia is 30 inches tall, she will be 15 months old.

6. The perimeter of a square room is 48 m, how much square metre carpet required it cover it ?

Answers

Answer:

144

Step-by-step explanation:

Answer:

first you have to now each side length ,since it is square so all sides are equal so 48/4=12 i.e perimeter =4 so our qoustion is area so the area of square is side square

Step-by-step explanation:

so side =12 , 12square is 144 that set.

given the series 1+2+3+4+5+6+...+5000. Write the series in sigma notation if all the powers of 4 are removed from the series.​

Answers

We have 4⁶ = 4096 and 4⁷ = 16,384, which is to say that the given sum only contains the first six powers of 4.

Now,

[tex]\displaystyle 1+2+3+\cdots+5000 = \sum_{k=1}^{5000}k[/tex]

and you subtract the sum of the first six powers of 4 to get the sum S that you want,

[tex]\displaystyle S = \boxed{\sum_{k=1}^{5000}k - \sum_{k=1}^64^k}[/tex]

PLS SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

10 is -5

Step-by-step explanation:

Vas happenin!
Hope your day is good

10: -10 -(-10) +(-5)
The answer is -5

11: the answer is -9
12: -77
13: 72
14: I think 5 dollar
15: I think 2.3
Hope this helps *smiles*
Sorry if it’s wrong

The lines shown below are parallel. If the green line has a slope of 5, what is a
the slope of the red line?

Answers

Answer:

A.  5

Step-by-step explanation:

Parallel lines have the same slope.

Answer:

5

Step-by-step explanation:

find the measure of a

Answers

Answer:

C

Step-by-step explanation:

e = 20 ° angles subtended by the same arc are equal

d = 20° opp base angles of an isosceles are equal

a+d =90° angles subtended by a diameter = 90°

a+20=90°

a=70°




Kevin baked 44 cookies. His family ate d of them. Using d, write an expression for the number of cookies that remained

Answers

Answer:

44-d

Step-by-step explanation:

Take the total number of cookies and subtract the number eaten.  That is the number remaining

44-d

find the length of the arc . round your answers to the nearest tenth

Answers

Answer:

10.2

Step-by-step explanation:

Length of arc=(2*pi*r)*(theta/360)

Length of arc=(2*pi*3)*(195/360)=10.2

8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D. (0.6) E. (4.4) F. (1,5)​

Answers

9514 1404 393

Answer:

  D.  (0, 6)

Step-by-step explanation:

The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

When (x1, y1) = (0, 0), this reduces to ...

  d = √(x² +y²)

We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.

  x² +y² = 6² = 36

This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.

__

The sum of squares in each case is ...

  A. 3² +0² = 9 . . . inside the circle

  B. 4² +2² = 20 . . . inside the circle

  C. 5² +3² = 34 . . . inside the circle

  D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin

  E. 4² +4² = 32 . . . inside the circle

  F. 1² +5² = 26 . . . inside the circle

Some friends are sharing a pizza. If each person gets 1/8 of the pizza, what percent of the pizza does each person get?

Answers

Answer:

1/8=12.50%

Step-by-step explanation:

Take the pizza as a whole = 100

Then consider 1/8 of 100

or   1/8 * 100  

= 1/4 * 50

=   1/2 * 25

= 12.50

Therefore it is 12.50%

We can solve this by dividing 1/8 since each friend gets 1/8 of the pizza. 1/8 gives us 0.125 as a decimal. After we convert that to a percentage, we will get 12.5 or 12. 50%. You can get the percentage by multiplying 0.125*100.

Tom bought 750 shares of a company’s stock for $11.06/share. He pays a broker a commission of $12 to buy and sell stock. After one year, Tom sold all his shares, when they were worth $10.24/share. How much did it cost Tom to buy the stock? Show your work. What was Tom’s net gain or loss? Show your work. What was Tom’s annual rate of return? Show your work.

Answers

Answer:

Answer:

-7.692%

Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share* # of shares ) ;

Total cost= 12 + (11.06*750)= 12+8295 = $8,307

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =10.24 * 750= 7,680

deduct commission= 7680-12= $7,668

Gain or loss= sale-cost = 7668-8307 = -$639, meaning there is a loss.

c.) Annual rate of return= (net gain or loss/amount paid)*100%

return= -639/(8307)*100 = -7.692%

Step-by-step explanation:

Move the numbers to the lines to order them from least to greatest.
least
greatest
67.98
68.6
68.11
Please answer ASAP

Answers

Answer:

67.98,68.11, 68.6

Use the equation d=z–9 to find the value of d when z=10.

d=

Answers

Step-by-step explanation:

d = z - 9

d = 10 - 9  ----> substitute

d = 1

15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab

Answers

Step-by-step explanation:

Remove the parentheses: 15a²-6ab+8a²+20+5ab-31+a²-ab Combine like terms: 24a²-2ab-11

Answer: 24a²-2ab-11

Hi

As you can only add or substract item of the same nature, you must re organise  terms.

so :

A = 15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab  

Here  I have  :   " a²"  ;  "ab"  then numbers.

In general, you start with letters with highest exponant.  If two letters have the same exponent, use alphabetic order.

let's  put order  :

A = 15a²-8a²+a² -6ab-5ab -ab+20-31  

Now you  add or substract item of the same kind :  

A = 8a² -12ab - 9

Here I can not do anything else, so calculus is over.  

Which of the following show the factored equivalent of
f(x) = (2x^2 +7x + 3)(x - 3) and its zeros?

Answers

Answer:

the answer is "D"

(2x+1)(x+3)(x-3)  //// -3,-.5,3

Step-by-step explanation:

Factored Form:  y= (2x+1)(x+3)(x-3)    

Answer:

D

Step-by-step explanation:

[tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex]  is factored into: [tex]f(x)= (2x+1)(x+3)(x-3)[/tex]

That takes out the choices B and C.

The roots are -0.5, 3, and -3.

Therefore, the answer is D.

I hope this helps!

pls ❤ and mark brainliest pls!

If f(x) = x2 + 9x – 14 and g(x) = x2 – x + 3, find (f – g)(x).

Answers

Answer:

10x-17

Step-by-step explanation:

f(x) = x^2 + 9x – 14

g(x) = x^2 – x + 3

(f – g)(x)=x^2 + 9x – 14  - (x^2 – x + 3)

Distribute the minus sign

(f – g)(x)=x^2 + 9x – 14  - x^2 + x - 3

Combine like terms

    =10x-17

The sum of 3x2 +x+8 and x- 9 can be expressed as

Answers

Answer:

2x + 5

Step-by-step explanation:

((3x2)+x+8) + (x-9)

= ((6) + x +8) + (x -9)

= (14 +x) + (x-9)

= 14 + x + x -9

= 2x + 5

answered by g a u t h m a t h

Which expression is equivalent to (b^n)m?

Answers

Step-by-step explanation:

By the law of exponent :

(a^n)^m=a^n×m

Option C

b^n×m is the correct answer...

hope it helps

Will give brainliest answer

Answers

Answer:

Yes lolololololololololololololololol

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{1}{2}*10^{8t}=73 \\\\10^{8t}=146 \\\\8t=log_{10}(146)\\\\t=\dfrac{log_{10}(146)}{8} \\\\\\t=0,27054410...\approx{0.27}[/tex]

Find the slope of the line that contains (4, -6) and (4, 4)

Answers

Answer:

Undefined

Step-by-step explanation:

Slope formula = [tex]\frac{y_{2}-y_{1}}{y_{2}-y_{1}}[/tex]

[tex]\frac{4-(-6)}{4-4}[/tex]

[tex]\frac{10}{0}[/tex]

A number can not have a denominator of 0, therefore making the slope undefined.

Answer:

Undefined.

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]

[tex]m=\frac{-6-4}{4-4}=\frac{-10}{0}=[/tex] Undefined

Find the missing side of the triangle

Answers

Answer:

x = 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Pytago:

[tex]7^2 + 7^2 = x^2\\x = \sqrt{7^2 + 7^2} \\x = 7\sqrt{2}[/tex]

Step-by-step explanation:

In a right triangle, you can find the leg of the triangle by using the Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex]

In this case, we have [tex]7^2+7^2=c^2[/tex], or

[tex]c^2=98[/tex]

[tex]\sqrt{98}[/tex]≅[tex]9.9[/tex]

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