1. In triangle ABC, m∠A=36, and m∠C=12. Calculate m∠B.

2. In triangle ABC, m∠A=40, and m∠C=27. Calculate m∠B.

Answers

Answer 1

Answer:

1) m ∠B = 132°

2) m ∠B = 113°

Step-by-step explanation:

1. In triangle ABC, m ∠A=36, and m ∠C=12. Calculate m ∠B.

We are given measure of 2 angles and we need to find the third angle.

We know that, sum of angles of triangle = 180°

We can write as:

∠A + ∠B + ∠C = 180°

Now put m ∠A=36 and m ∠C=12, to find m ∠B

[tex]\angle A + \angle B + \angle C = 180\\36+ \angle B +12=180\\\angle B+48=180\\\angle B=180-48\\\angle B=132[/tex]

So, we get m ∠B = 132°

2. In triangle ABC, m ∠A=40, and m ∠C=27. Calculate m ∠B.

We are given measure of 2 angles and we need to find the third angle.

We know that, sum of angles of triangle = 180°

We can write as:

∠A + ∠B + ∠C = 180°

Now put m ∠A=40 and m ∠C=27, to find m ∠B

[tex]\angle A + \angle B + \angle C = 180\\40+ \angle B +27=180\\\angle B+67=180\\\angle B=180-67\\\angle B=113[/tex]

So, we get m ∠B = 113°


Related Questions

6) Tell whether -3 is a solution of the inequality.: y +6<4

A-solution

B-not a solution

Answers

Answer:

A - Yes, it's a solution

Answer:

Yes, it is a solution.

Step-by-step explanation:

The reason why it is a solution because when you plug -3 into the y and add -3+6<4, you will get -9<4. -9 is less than 4 because the 9 is a negative. Hope this helps!

someone please answer this

Answers

9514 1404 393

Answer:

x = 2∠IEH = 58°∠IHE = 49°

Step-by-step explanation:

a) The diagonals of a parallelogram bisect each other. So, the length of one half is equal to the length of the other half.

  IE = IG

  2x -2 = 2

  x -1 = 1 . . . . . . divide by 2

  x = 2 . . . . . . .  add 1

__

b) Sides of a parallelogram are parallel, so each diagonal can be considered to be a transversal. Alternate interior angles where the transversal meets parallel lines are congruent. (Essentially, the figure is symmetric about its center, where the diagonals cross.)

  ∠IGF ≅ ∠IEH = 58°

  ∠IFG ≅ ∠IHE = 49°

In April, 287 people visited an amusement park. In May, 379 people visited the same amusement park. In June, twice as many people visited the amusement park as visited in April and May combined. How many people visited the amusement park in June?

Answers

Answer:

1332 i think

Step-by-step explanation:

287+379=666

666*2=1332

A line's slope is 1/5 and its y-intercept is 10​

Answers

Answer:

plug in those values into y = mx +b

m = the slope

b= y-intercept

the equation of the line is:

y = 1/5x +10

Step-by-step explanation:

I hope this helped :)

Every time Mary bakes a batch of brownies, she uses 1/5 cup of chocolate. If she has 8/10 cup(s) of chocolate remaining, how many batches of brownies can Mary make? Input your answer as a whole number.
giving 35 points if u answer.

Answers

Answer:

4 batches

Step-by-step explanation:

just divide 8/10 by 1/5 to get 4 :)

Step-by-step explanation:

Number of cups of chocolate is directly proportional to the number of batches of brownies.

1/5 cups of chocolate = 1 batch of brownies

=> 8/10 cups of chocolate = (8/10) / (1/5)

= 4 batches of brownies.

Hence Mary can make 4 more batches.

Can y’all please help me I’m stuck and I don’t understand will mark BRAINLIEST!

Answers

Answer:

1 is x=6

2 is x=-2

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

.......................

write a polynomial function in it's factored form with zeros 5, -1, and 2

Answers

Answer:

(x - 5)(x + 1)(x - 2) = 0

Step-by-step explanation:

If a polynomial function has roots a, b, and c, then it is (x - a)(x - b)(x - c).

The roots here are 5, 1, and 2, so the factors are

(x - 5)(x - (1))(x - 2)

The function is:

(x - 5)(x + 1)(x - 2) = 0

can u pls help me with this question asap ​

Answers

64(0.75)= 48. Hope that helped.
48........................

Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?

Answers

Answer:

Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The rest of the stickers have pictures of people. How many stickers have pictures of people?

Step-by-step explanation:

Gina has 48 stickers. of the stickers have pictures of flowers. of the stickers have pictures of plants. The okpm of the stickers have pictures of rs have pictures of people. How many stickepeople?

3. $35 dinner; 20% tip

Answers

$35 x .2 = $7

Total cost = 42$

Show that x+y:x-y=3:2

Answers

We have,

x+y:x-y=3:2

To prove that, x+ y : x - y = 3:2.

x+y=3  

And,

x+y = 2      

Adding (1) and (2), we get

x+y+x-y=3+2

⇒2x=5

⇒ x =

Put x =  in (1), we get

+y=3

⇒ y=3-=

x+y:x-y=

=3:2

So, x+y:x-y=3:2.

You roll a dice twice. Find the probability of getting 3 in the first throw and 5 in the second throw

Answers

Answer:

its 1/36th

Step-by-step explanation:

there are 36 total outcomes

Answer:

probability

Step-by-step explanation:

Rosa spent $5.76 on 8 candy necklaces. How much did each necklace cost?

Answers

Answer:

0.72 or 72 cents

Step-by-step explanation:

5.76/8=.72

Each necklace costs 78 cents

X increased by 61% plz help

Answers

Answer:

Step-by-step explanation:

x+61/100

What is the slope of the line shown in the graph?
A 3/2
B) 2/3
C) -3/4
D) -2/3

Answers

Answer:

D.

Step-by-step explanation:

y-intercept is (0, 3)

x-intercept is (4.5, 0)

formula to find the slope from two points is

[tex]slope = m = \frac{y2 - y1}{x2 - x1} = \frac{y1 - y2}{x1 - x2} \\ [/tex]

then the slope of the line that crosses (0, 3) & (4.5, 0) is

[tex]m = \frac{3 - 0}{0 - 4.5} = \frac{3}{ - 4.5} = - \frac{3}{ \frac{9}{2} } = - \frac{2}{3} [/tex]

D. -2/3 because when you find when the line lies on 1 point twice. Count down it would be 2 and count over it would be 3. The direction of the line is going down so that would be negative.

A rectangular plot of land has an area of 115 square kilometers and a length of 23 kilometers. What is the width of the plot of land Hint: use the formula A = l x w, and replace A with the # given and length with the # given

Answers

Answer: Your answer is 5.

Step-by-step explanation: All you have to do is divide 115 and 23, and that will give you your product, 5.

What is the coefficient of the x4-term in the binomial expansion of (x + 3)12?
12C7(3)7
12C8
12C4(3)4
12C8(3)8

Answers

Answer:

I am not sure about this question sry but u can try asking a tutor u don't need to use any points

Answer:

Step-by-step explanation:

I don't get the question do you have a picture?


In the formula d=r* t the letters are called​

Answers

Answer:

Distance = Rate x Time

Step-by-step explanation:

You can use the equivalent formula d = rt which means distance equals rate times time. distance = rate x time. To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. speed = distance/time.

plsss as soon as posible

Answers

Y=2.54x is the answer

If you deposit $5000 into an account paying 6% annual interest compounded monthly, how long until
there is $8000 in the account?

Answers

Answer:

7.85 years which I think rounds to about 7 years and 11 months

Step-by-step explanation:

The formula for compound interest is

[tex]AV=PV*(1+\frac{i}{n})^{t*n}[/tex]

Where AV = Accumulated Value (or Future value)

PV= Present value

i= nominal interest rate

n= number of times compunded in a period (here a period is a year)

t= number of periods (years in this case)

We can plug this numbers in to get

8000=5000*(1+(.06/12))^12x

First we divide by 5000 to get

1.6=(1.005)^12x

We can rewrite this into a logarithim

log₁.₀₀₅1.6=12x

The formatting here is kind of weird but I'm trying to say that log base 1.005 1.6 = 12x

We can compute this and get

94.2355=12x

divide by 12 to get that

x=7.85 Years

Can anyone answer this??

Answers

I might be able too but I don’t see anything

Find the value of x. Show your work. Congruent triangles

Answers

Answer:

Step-by-step explanation:

resend it its blury .......the image

What is the best unit of measurement for a wasp’s leg?

Answers

Answer:

I'd say mm

Step-by-step explanation:

i would choose millimeters because a whole wasp is about 2 centimeters, and there is 10 millimeters in 1 centimeter, so a wasps length is about 20mm, i would think their legs are between 1 and 3 mm long. maybe longer depending on the type of wasp, but i would think to measure in millimeters

What is the coefficient in the inequality 3x=10?

Answers

Answer:

3.3333333333333333333333333333333

Step-by-step explanation:

so u do 10 divided by 3 =3.333333333333333333333333.

x = what i said

Evaluate the expression
what is 2+49÷(-7)?​

Answers

Answer:

-5

Step-by-step explanation:

The answer is - 5, step by step , 2+49 =51, 51>-7 = -7.2

Mya is buying juice boxes for a party

Answers

Answer:

Step-by-step explanation:

you need more info

Find the general solution to the equation y(5) - 4y(4) + 4y(3) = 1.

Answers

Answer:

y= -1/23

Step-by-step explanation:

The equation y(5)-4y(4)+4y(3)=1 can be solved thus:

Work on brackets first:

5y-16y+12y=1

Add up y values

5y-28y=1

Divide both sides of equation

-23y=1

y=1/-23

Therefore the value of y is -1/23

The graph shows the number of quarts picked and the amount of money the customer paid.

Part A
What is the constant of proportionality, and what does it mean in this situation?​

Answers

Answer:

Constant of proportionality k = 3.5

In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.

Step-by-step explanation:

We need to find what is the constant of proportionality, and what does it mean in this situation?​

Constant of proportionality can be defined as:

[tex]if\:y\:\alpha \:x\:then\:y=kx[/tex]

Where k is constant of proportionality

It tells that there is constant increase in the value of y.

Looking at the graph,

we get Number of Quarts (x) = 1, Amount Paid (y)= 3.5

so, finding constant of proportionality

[tex]y=kx\\3.5=k(1)\\k=3.5[/tex]

Now, Number of Quarts (x) = 2, Amount Paid (y)=7

so, finding constant of proportionality

[tex]y=kx\\7=k(2)\\k=\frac{7}{2}\\k=3.5[/tex]

So, for any value of x and y, the value of k remains constant i.e 3.5

So, constant of proportionality k = 3.5

In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.

Write a multiplication equation that describes the picture of the half pants below use fraction below

Answers

can i see the picture

Diana is training for a marathon. The total miles she runs varies from week to week but follows the
pattern described in the table. Diana wants to run at least 60 miles next week. What are the possible
distances she can run on Monday? Describe and graph the reasonable solutions.
Click the icon to view the training schedule.

Answers

Answer:

I got the exact question so pls hit me up when you find the answer

Step-by-step explanation:

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