In triangle ABC, the measure of the exterior angle at point B is 100°. If m∠A is 4 times larger than m∠c, FIND m∠c


pleaseeeeeeeeee!!!!!

Answers

Answer 1

Answer:

m<c = 20º

Step-by-step explanation:

We use these following definitions:

The sum of an interior angle with its exterior is of 180º.

The sum of the three interval angles of a triangle is 180º.

The measure of the exterior angle at point B is 100°.

This means that the measure of the interior angle is: 180 - 100 = 80º

m∠A is 4 times larger than m∠c

This means that the measure of angle c is x, and the measure of angle a is 4x. The other angle, B, is 80º. So

[tex]x + 4x + 80 = 180[/tex]

[tex]5x = 100[/tex]

[tex]x = \frac{100}{5}[/tex]

[tex]x = 20[/tex]

The measure of angle C is 20º.


Related Questions

side length z =

angle d =

Answers

side length z=20
angle d=53

since they are similar triangles, angles should be the same, therefore,
d=53

if we consider the ration between the sides of the first triangle, its,
6:8:10 = 3:4:5 (when divided by the least common factor; 2)

by applying the same ratio for the second triangle, we can get,
15:20:25 (u can first divide both 15 and 25 by 5 and then multiply each term in 3:4:5 by 5)

therefore, z=20

PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS

Answers

Answer:

x = 101°

Step-by-step explanation:

the bottom left angle inside the triangle is supplementary to the angle which measures 148°, so the m∡ is 32°

47 + 32 + x = 180

79 + x = 180

x = 101°

What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?

Answers

Answer:

symmetry

Step-by-step explanation:

is the line that divides the parabola into two mirror images

Answer:

line of symmetry

Step-by-step explanation:

CH 7 Forces: pages 294 & 296
Calculate net forces. Draw an arrow to show direction. SC.6.P.13.3
Drag an arrow
to complete
your answer.
combined Forces
Net Force
Click to type
30 N
70 N
30 N
40 N
Click to type
60 N
60 N
Click to type
18 N 12 N
30N

Answers

awnser 1.100

awnser 2.-10

awnser 3.0

awnser 4.0

Alex’s monthly take home pay is $2,500. What is the maximum bad debt payment he can maintain without being in credit overload?
A): $250
B): $325
C): $475
D): $500

Answers

Answer:

it's d I agree with other person that answered

The solution is Option D.

The maximum bad debt payment Alex can maintain without being in credit overload is given by the equation A = $ 500

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the maximum bad debt payment Alex can maintain without being in credit overload be A

Let the take home pay of Alex be = $ 2,500

The percentage of maximum debt payment be = 20 %

Now , the equation will be

Maximum bad debt payment Alex can maintain without being in credit overload A = take home pay of Alex x percentage of maximum debt payment

Substituting the values in the equation , we get

Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x ( 20/100 )

On simplifying the equation , we get

Maximum bad debt payment Alex can maintain without being in credit overload A = 2500 x 0.20

Maximum bad debt payment Alex can maintain without being in credit overload A = $ 500

Therefore , the value of A is $ 500

Hence , the Maximum bad debt payment is $ 500

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Plz help me with the problem

Answers

Answer:Step-by-step explanation:

Just tell me the problem

Exercise
Sophia's friend has saved $118 but is not sure how many songs she can afford if she buys the membership and
some songs. Use the expression in part (b) to write an equation that can be used to determine how many
songs Sophia's friend can buy

Answers

Answer:

Step-by-step explanation:

solve the equation

PLZ I need a good grade

Answers

P ≤ 6, first you divide both sides by 7 so you get p ≤ 6 bc 7/7 is 0 and 42/7 is 6

answer:

p = 6

1. pull out like factors

7p - 42  =   7 • (p - 6)

2. solve it

7=0

this equation can't be solved, therefore has no solution.

a knife is three times the cost of a spoon. 9 spoons and 12 knives cost £82.80. Work out the cost of one knife.

Answers

The answer is £5.52 as you do 12(3)+9 which equals 36+9=45 divided by 82.80 which equals 1.84 and as it is 3x the price 1.84*3=£5.52

Please help me I’m not good with graphs

Answers

Answer:

I'm pretty sure it's 2 and 3

2 and 3

Good luck:)

Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?

Answers

A 10% tip would be $7.50, so a$7 tip is too little

Answer:

a $7 tip is too little

Step-by-step explanation:

A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
A. 25x37
B. 5 sxs 9
C. 2 D. 5< x < 9

Answers

Answer:

its d.

Step-by-step explanation:

the other guy is wrong

Using sides of a triangle rule, the inequality gives the range of possible values for x is  5 < x < 9.

What is sides of a triangle rule?

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Given that two sides of triangle are 2 and 7 inches.

Let the third side be x inches.

x < 2+7 ⇒ x < 9

7 < 2 + x ⇒ x > 5

2 < 7 + x, which is true for any positive value of x.

Thus,  5 < x < 9.

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Select all the correct answers.

Janine needs to calculate the value of log , 81

Which expressions could she input into her calculator to find this value?

In 81

12



in 81

In 12

log 81

log 12

log 81

In 12

log 12

log 81

Answers

Answer:

In 81 / In 12 ;

log 81 / log 12

Step-by-step explanation:

Log 12 81

Log 81 base 12

According to rule of logarithm :

Log 81 base 12 = (log 81 base 10) / log 12 base 10)

Obtaining the value :

(log 81 base 10) / log 12 base 10) = 1.7684564

Using trial and error method :

log 81 / In 12 = 0.7680308

In 81 / In 12 = 1.7684564

In 81 / 12 = 0.3662040

Hence, the correct answers are :

In 81 / In 12

log 81 / log 12

Karen has completed 26 deliveries so far this week. She needs to make 40 deliveries for the week. What percentage of her deliveries has Karen completed?

Answers

Answer:

doop

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

40/100 = 26/x

40/100 = 2/5

2/5 = 26/x

cross multiply

2x = 130

divide by 2

x = 65

Question need help very hard pls

Answers

Well I think the scale is number 7 because

2. Use the figure below and angle relationships to
find the measure of each angle.
54°
1
2

Answers

Answer:

m<1 = 90°

m<2 = 36°

Step-by-step explanation:

✔️m<2 + 54° = 90° (complementary angles)

m<2 = 90° - 54° (subtraction property of equality)

m<2 = 36°

✔️m<1 = m<2 + 54° (supplementary angles)

m<1 = 36° + 54°

m<1 = 90°

A government study in 2020 estimated that 1 million Californians don’t have access to safe drinking water. If the population of California is 39.51 million, what percentage of the population don’t have access to safe water?

Answers

Answer:

2.53%

Step-by-step explanation:

all you have to do is 1 / 39.51 = about 0.0253 = 2.53%

Solve the Equation

P + 75 = 100.

Answers

Answer:

P= 25 so

25+75= 100

Step-by-step explanation:

100-75

Answer:

P=25

Step-by-step explanation:

P+75=100

  -75  -75

_________

P=25

(6 1/2+2 2/5 )+ 2 1/2 using properties of addition

Answers

(6 1/2 + 2 2/5) + 2 1/2

8 9/10 + 2 1/2

= 11 2/5

Which statement has a false converse?

A If a quadrilateral is a rectangle, then the diagonals of the quadrilateral are

congruent.

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a

parallelogram

C if a quadrilateral is a rectangle, then all angles of the quadrilateral are right angles.

D If a quadrilateral is a parallelogram, then both pairs of opposite sides of the

quadrilateral are congruent.

Answers

Answer:

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram

Explanation:

A rectangle just like a square has diagonals that bisect each other and they are congruent( two lines are congruent if they are equal). A parallelogram is a quadrilateral with parallel sides and when its diagonals intersect, they are congruent too. Therefore a rectangle with diagonals that bisect each other is not necessarily a parallelogram.

The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to

Answers

Answer:

10 ; 3.464 ; 2.4 ; (7.6, 12.4)

Step-by-step explanation:

Given the data :

10, 8, 12, 15, 13, 11, 6, 5

Point estimate of population mean :

m = ΣX / n

n = sample size = 8

(10+8+12+15+13+11+6+5) / 8

= 10

Point estimate of population standard deviation :

Sqrt(Σ(X - m)^2 / n-1)

((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7

= sqrt(84/7)

= 3.464

Margin of error at 95%:

Zcritical * sqrt(sd²/n)

Zcritical at 95% = 1.96

1.96 * sqrt(3.464^2 / 8)

Margin of Error = 2.4

Confidence interval :

m ± Z(s/sqrt(n))

10 - 1.96(3.4634/sqrt(8)) = 7.6

10 - 1.96(3.4634/sqrt(8)) = 12.4

The diagram shows a piece of cheese in the shape of the triangular prism.Work out the area of the cling film needed to cover the cheese

Answers

Answer:

488.4 cm²

Step-by-step explanation:

Area of cling film needed = surface area of the triangular prism = 2(B.A) + P×H

Where,

B.A = triangular base area = ½*base*height

height = 10.5 cm

base = √(13.7² - 10.5²) = √77.44 = 8.8 cm

B.A = ½*8.8*10.5 = 46.2 cm²

P = perimeter of the triangular base = 10.5 + 13.7 + 8.8 = 33

H = height of prism = 12 cm

Surface area of triangular prism = 2(46.2) + 33*12

= 92.4 + 396

= 488.4 cm²

FIND THE VALUE OF X! please help !

Answers

its 20 the sides are equal

Answer:

yes, it's 20

Step-by-step explanation:

first you should find the area

100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

wait so you have t

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

If a * b = a/b - 1, then 7 * 28 =​

Answers

It will be 7/28-1


Brainly. Jvunvfunvufnvjrcufv

please help meh I'm I'm slowlyy from this question TwT send help ​

Answers

Answer:

so what XDXD

Step-by-step explanation:

Explain the relationship between the following:
Radius & Diameter
Diameter & Circumference
- Radius & Circumference

Answers

Answer:

Step-by-step explanation:

isn't circumference the whole circle

and radius is the center from the outside

What is equivalent to 12/24

Answers

Answer:

1/2

0.5

2/4

3/6

4/8

50%...

Step-by-step explanation:

Help on No. 4 plz..............

Answers

Answer:

12

Step-by-step explanation:

to understand thisyou need to know about:similarityPEMDASgiven:scale factor:2:5SV:30TIPS AND FORMULAS:SV~QRlet's solve:

according to the question

[tex]step - 1 : define[/tex]

[tex] \frac{2}{5} \times 30[/tex]

[tex]step - 2 : simplify[/tex]

[tex] \frac{60}{5} [/tex]

[tex] \huge 12[/tex]

apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.

Answers

Answer:

3 times 30 miles and 4 times 40 miles

Step-by-step explanation:

Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Travis is planning to ride at a constant speed during an upcoming bike trip.

This implies that the slope of the graph will be a constant.

So the graph will be a straight line.

We have two points on the graph (1, 10) and (2, 20).

The starting point will be (0, 0).

Slope = (20 - 10) / (2 - 1) = 10

So the equation of the line is y = 10x.

When x = 3 hours, y = 30 miles

When x = 4 hours, y = 40 miles

Hence the points has to be marked at (3, 30) and (4, 40).

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The complete question with the graph is given below.

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