The measure of angle A in ABC is twice the measure of angle B and the measure of angle C is 20° less than the measure
of angle B. What are the measures of the angles in ABC?

Answers

Answer 1

Answer:

m∡A = 100°

m∡B = 50°

m∡C = 30°

Step-by-step explanation:

let 'x' = m∡B;  50°

let '2x' = m∡A;   100°

let 'x-20' = m∡C;   30°

x + 2x + x - 20 = 180

4x - 20 = 180

4x = 200

x = 50


Related Questions

9. Mrs. Parker paints the school library. Yrich is the best estimate
for the amount of paint she uses?

Answers

Answer:

incomplete question

Step-by-step explanation:

Answer:

Mrs. Parker paints the school library.Yrich is the best estimate

Step-by-step explanation:

for the amount of paint she uses?

Please explain clearly assignment is due today! so quick

Answers

Answer:

No

Step-by-step explanation:

Use 2/5...

2 times 2 is 4

5 is greater than four

but 4/5 and 2/5 cannot be replaced with 0

Hence this claim is busted

i hope this helps!

100POINTS! EXPLAIN YOUR ANSWER OR I REPORT

Answers

Answer:

linear pair61°

Step-by-step explanation:

to understand thisyou need to know about:vertical angleequationPEMDAStips and formulas:A linear pair is two angles that are adjacent and whose non-common sides form a straight linelinear pair contains 180°given:[tex]m\angle 1 [/tex]let's solve:

[tex]\text{m$\angle$ 2 is linear pair with$\angle$ 1}[/tex]

[tex] \text{according \: to \: the \: question}[/tex]

[tex] \sf 119 + m\angle 2 = 180 \\ \sf m \angle 2 = 180 - 119 \\ \sf m \angle2= 61[/tex]

Answer:

Linear pair

61°

Step-by-step explanation:

Let's verify

See 1 and 2 angles lie in one lineSo they are supplementary and linear pair

m<2

180-11961°

Explain how you would combine like terms and use properties of operations to solve the inequality 5(2t + 3) - 3t < 16

Answers

Step-by-step explanation:

step 1. 10t + 15 - 3t < 16 (distributive property)

step 2. 7t +15 < 16 (combine like terms)

step 3. 7t < 1 (subtract 15 from both sides)

step 4. t < 1/7 ( divide both sides by 7.

Please Help! :)

y = x times what

Answers

Answer:

Step-by-step explanation:

-8/32 = -1/4

The equation is : y = -1/4 x

Now they say, x = 28 so substitute x as 28 and solve

for when y = -5, substitute -5 as y and solve

Do this for all


The population of a country is increasing at a rate
of 1.7% per year. By
what percentage does it
increase over 10
years?​

Answers

Answer:

17%

Step-by-step explanation:

Find the equation of the line that is perpendicular to the x-axis and passes through the point (-10,-1). Give the full equation as your answer. The equation is _______________

Answers

Answer:

x = -10

Step-by-step explanation:

First, determine the slope of the answer. The x-axis is a horizontal line, thus the new line must be vertical. All vertical lines are represented by the equation x = a number. That number represents the x-value of all the points the vertical line passes through.

So, since the line passes through (-10, -1), take the x-value of that point and put it into that equation. Thus, x = -10.

Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 60 feet and the angle of elevation to the bird from where he stands to be 64°. The leaves on the tree make it difficult for Corey to watch the bird, so he takes many steps away from the tree to get a better view. He now estimates his angle of elevation to be 37°.
How many feet did Corey step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.

Answers

Answer:

Corey stepped back 59.71 feet

Step-by-step explanation:

Right Triangles

They are a special type of triangle where one of its internal angles is 90°. The basic trigonometric equations stand in this type of triangles. If x is the adjacent leg of a given angle , and y is the opposite leg to the same angle, then :

[tex]tan0= \frac{y}{x}[/tex]

We can solve for x to get

[tex]x = \frac{y}{tan0}[/tex]

Corey estimates the height of the tree to be 80 feet. This means we know y=80 and . Let's find the horizontal distance at which Corey is looking at the bald eagle:

[tex]x1 =\frac{80}{tan68}[/tex]

[tex]x1 = 32.32 feet[/tex]

Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, so

[tex]x2 =\frac{80}{tan41}[/tex]

[tex]x2= 93.03 feet[/tex]

Now we can know the distance Corey walked back by subtracting both distances

correy stepped back 59.71 feet

The number of feets corey will step back to gain a better view of the bird is 54.72feet.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

here, we have,

Given that;

The height of tree=80feet

The angle of elevation to the bird from him=68°.

His estimated angle of elevation = 41°

Now,

Use trig to find x

then use trig to find   x+y

Then subtract to find y

tan41°= 80ft/(80ft/tan65 + y)

80/tan65 + y = 80/tan41

y= 80/tan41 - 80/tan65

y= 54.72ft

Therefore, by trigonometry the answer will be 54.72feet.

Learn more about trigonometric;

brainly.com/question/21286835

#SPJ3

Topic: Explain all the steps taken to solve the problem below. The measure of the interior angles of the polygon ABCDE are shown below. Determine the measure of angle E.​

Answers

9514 1404 393

Answer:

  ∠E = 156°

Step-by-step explanation:

The sum of angle measures in a pentagon is 540°, so we have ...

  95 +(7x -4) +90 +(9x -6) +(3x +23) = 540

  19x +198 = 540

  19x = 342 . . . . . . . subtract 198

  x = 18 . . . . . . . . . . .divide by 19

Then the measure of angle E is ...

  ∠E = (9x -6)° = (9·18 -6)°

  ∠E = 156°

Find the slope.

Bonus: Write the equation of the line.

Answers

Answer:

1 so y=1+b

Step-by-step explanation:

9514 1404 393

Answer:

slope: -1equation: y = -x +3

Step-by-step explanation:

The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.

Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...

  m = rise/run = -1/1 = -1

The slope of the line is -1.

__

The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...

  y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)

  y = -x +3

: Which expression represents the factorization of 56st – 21t?
A: . 7(8st - 3t)
B: 7t(8s - 3)
C: 3t ( 18s - 7)
D: 7s ( 8t - 3t)

Answers

Answer:

B: 7t(8s - 3)

Step-by-step explanation:

Method 1: check by expanding each of them

A: 7(8st - 3t)=56st-21t

B: 7t(8s - 3)=56st-2t

C: 3t ( 18s - 7)=54st-21t

D: 7s ( 8t - 3t)=56st-21st

Method 2: the common factors of 56st and 21t is: 7t

56st/7t=8s

-21t/7t=-3

56st-21t=7t(8s-3)

36+54 as a product please help i do not have any idead of hat this is

Answers

Answer:

90

Step-by-step explanation:

1. What is the value of the expression ƒ2 + 8 if ƒ = 7?

Answers

Answer:

f=8/5

Step-by-step explanation:

f*2+=f7

2f+8=f*7

2f+8=7f

2f=7f-8

2f-7f=-8

-5f=-8

Graph the system of
equations on the graph
and determine the
solution.
Y = -4x +2
Y =X +3

Answers

Answer:

(-0.2, 2.8)

General Formulas and Concepts:

Algebra I

Reading a Cartesian planeCoordinates (x, y)Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

PLEASE HELP ME AND SHOW YOUR WORK

Answers

Answer:

B

Step-by-step explanation:

Hope the picture helps!

Another one the last one ASAP

Answers

Answer:

13m²

Step-by-step explanation:

Area=6.5*4÷2=13

Answer:

13m

Step-by-step explanation:

1/2 × bas × perpendicular height

Find the equation of a line, in slope-intercept form of a line that passes through the point (-5, -1) and is parallel to -2x+4y=8. ​

Answers

Answer:

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

Step-by-step explanation:

Let's write [tex]-2x+4y=8[/tex] to slope-intercept form.

We do this by solving for [tex]y[/tex]

[tex]-2x+4y=8\\[/tex]

Add 2x to both sides

[tex]4y=8+2x[/tex]

Divide both sides by 4

[tex]y=\frac{1}{2} x+2[/tex]

Now that we have that equation in slope-intercept form, the question wants us to find a line that is parallel to it that passes the point (-5, -1).

A line is parallel to another line is they have the same exact slope.

The slope is [tex]\frac{1}{2}[/tex].

Slope-intercept form: [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

So, let's see what we have here so far.

[tex]y=\frac{1}{2}x +b[/tex]

All we have to do is find [tex]b[/tex].

The question wants the line to pass the point (-5, -1).

Let's plug that point in.

[tex]-1=\frac{1}{2} (-5)+b\\-1=\frac{-5}{2}+b\\\frac{3}{2} =b\\[/tex]

We have all the information needed to finish this problem!

So, the line that is parallel to [tex]-2x+4y=8[/tex] and passes through the point (-5, -1).

[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]

Use the distributive property to fill the blanks. 3x(8-1)=(3x_)-(3x_)

Answers

4 and 6 this is the correct answer

3. A drum full of rice weight 43-kg. If the empty drum weights 14- kg. Find the weight of rice in the
drum
A 29.25 kg
B. 2950 kg
C. 29.75 kg
D. 29 kg​

Answers

Answer:

Step-by-step explanation:

Weight of rice in drum = 43 - 14 = 29kg

Option D is the correct answer

What must be on the blank to make statement true.. (3x+_)(xx-4)=3x²-11x-4?

A.1
B.-b
C.13
D. - 13

Pls help me​

Answers

Answer:

(3x+4)(x-4) is your answer

Step-by-step explanation:

3x²-11x-4

=3x²-12x+x-4

=3x(x-4)+1(x-4)

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

Ken worked 20 hours and earned nearly
a) $200.
b) $2,000.
c) $20.

Answers

Answer:

Multiply how much Ken gets paid by 20.

He gets paid $10per hour to make a

He gets paid $100per hour to make b

He gets paid $1per hour to make c

good luck, i hope this helps :)

1/4 divided by 2/5 fraction form

Answers

Answer:

5/8.

Hope this helped.

Ramon has 7/8 of a cup of cottage chesse. How many 1/4 cup servings can he make?

Answers

I don’t know u tell me that’s the answer

is 1/2 x 3/4 equal to 1, less than 1, more than 1

Answers

Answer:

3/8 so it is less than 1

Step-by-step explanation:

How to make 10.74 in two different ways?

Answers

Answer:

Step-by-step explanation:

1074/100

1.074*10

0.1074*10

107.4/10

10740/1000

write the number that is 6 less then 8000​

Answers

Answer:

8000-6=7994 is the required number

Use distributive property 25(20-4p)+8

Answers

Answer:

508-100p

Step-by-step explanation:

hi, i need this quickly, thanks so much

Answers

What question? Like 1 or all of them

Janet, an experienced shipping clerk, can fill a certain order in 7 hours. Jim, a new clerk, needs 9 hours to do the same job.
Working together, how long will it take them to fill the order?

Answers

Answer:

zhdhsgscsisgege8djdhshsyw7273yeh3737eyd

I need help with problem 8

Answers

Answer:

True

Step-by-step explanation:

Because the angle with positive side of x axis is obtuse angle??

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