Mathematics Middle School

What are the measures of ∠CAB and ∠ACB in the figure?

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

(7x +3) is the same as angle opposite B

So 7x+3 will equal 103 degrees.

To figure out angle ACB we just take a straight line (180 degrees) and minue 103, which gives us 77 degrees

ACB = 77 degrees

Now we will just isolate x so we can figure out it's value for angle CAB

7x = 103 - 3

7x = 100

x = 100/7

x = roughly 14.3

CAB = 3x - 10 = (14.3 * 3) - 10

= 43 - 10

CAB = 33 degrees

Answer 2

The measure of ∠CAB is 43°.

The measure of ∠ACB is 80°.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

From the figure,

ΔABC

∠A + ∠B + ∠C = 180 ______(A)

And,

∠C = 7x + 3 [ alternate angles ] _____(1)

∠B = 180 - 103 = 77 [ straight angle ] _____(2)

∠A = 3x - 10 _____(3)

Substituting (1), (2), and (3) in (A).

∠A + ∠B + ∠C = 180

7x + 3 + 77 + 3x - 10 = 180

10x + 80 - 10 = 180

10x + 70 = 180

10x = 180 - 70

10x = 110

x = 110/10

x = 11

Now,

∠CAB = 3x + 10

∠ACB = 7x + 3 [ alternate angle with (7x + 3)

Substituting x = 11.

∠CAB = 3 x 11 + 10 = 33 + 10 = 43

∠ACB = 7 x 11 + 3 = 77 + 3 = 80

Thus,

∠CAB = 43

∠ACB = 80

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Related Questions

answer correctly for 20 points

An amusement park charges an admission fee of 30 dollars for each person.
Let c be the cost (in dollars) of admission for p people.

Write an equation relating c to p. Then use this equation to find the cost of admission for 17 people.

Equasion:

Cost for 17 people: _____ dollars

Answers

Answer:

c=30

When p=17, c=30x17=510 dollars.

Step-by-step explanation:

Answer:

= $510

Step-by-step explanation:

See step by step explanation in the picture below. Thank you! :)

Triangle ABC has angle measures as shown.
What is the value of Thank you and have a nice day!

Answers

The sum of the angles of any triangle is 180 degrees, so we get the equation:

[tex](70)+(60)+(8x+2)=180\\8x+132=180\\8x=48\\x = 6[/tex]

x = 6

Hope that helps!

X = 6 . I did this class

WILL CHOOSE BRAINLIEST

Answers

Answer:

done

Step-by-step explanation:

mark as brilliant..................

AIN NO WAY BOY IM IN 7TH GRDE AND I GETTING THIS HELPPPPP

Answers

Answer:

it gibs answer there nothin to answer

Step-by-step explanation:

answer given by pokemon birb rennteaa

Answer:

It gives the answer and i'm in Algebra 2 and don't know this so

Step-by-step explanation:

I might get banned oops

Answers

Answer: Below

Step-by-step explanation:

A trick to always find the volume of a three dimensional object is that you multiple base by height. So, we want to fid the area of the circular base first. Using the formula 2 · pi · r²:

2 · 3.14 · 8² = 401.92

We use 3.14 for pie since they asked us to. Now we multiply base by height.

401.92 · 6 = 14469.12

Our answer is 14469.12

*PLEASE HELP * *ANY IRRELEVANT ANSWERS WILL BE REPORTED *
In your pocket you have a bunch of nickels and dimes. you buy a Wawa peach iced tea for $2. How many nickels and or dimes do you need to pay for your beverage

Answers

Answer:

For dimes you would need 20 and for nickels you would need 40

Step-by-step explanation:

If you're paying with only dimes then you would need 20 dimes but if you're paying with only nickels then you would need 40 of them. I'm sorry if this doesn't help though.

A Nickel = 5 cents
$2 = 200 cents
So 200 cents divided by 5 cents = 40

A Dime = 10 cents
So 200 cents divided by 10 cents = 20

So the answer would be..
20 Dimes and 40 Nickels.

Hope this helps!!

Pre-algebra
Due urgently
Tysm

Answers

Answer:

y = 4 / x = 2

Step-by-step explanation:

Insert x equation for variable x

y = 2(-y+6)

simplify

y= -2y + 12

add 2y to both sides

3y= 12

divide both sides by 3

y = 4

Insert 4 as y in y =2x

4=2x

divide both sides by 2

x=2

HOW IN THE NAME OF HECK DO YOU FIND THE AREA OF THIS

Answers

Answer:

Step-by-step explanation:

Pictures show the steps

Step-by-step explanation:

multiplying all the sides together 3 ft * 2 ft * 2 ft * 4 ft

What is the value of the expression shown below?

8 + (7 + 1) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Group of answer choices

7

9

21

Answers

21 mark brainlless please

What is the image of the point (8,5) after a rotation of 180 counterclockwise about the origin?

Answers

Answer:

(-8,-5)

Step-by-step explanation:

When you go from quadrant I, where both the X and Y values are positive and rotate 180 degrees you end up in quadrant III, where both X and Y values are negative! Hope this helps :)

Answer:

(-8,-5)

Step-by-step explanation:

A counterclockwise rotation of 180 degrees about the origin changes the original coordinate for ex; (1,-2) to (-1,2)

So, with a counterclockwise rotation of 180 degrees (8,5) to (-8,5)

this includes evaluate numerica expressions

Answers

Answer:

1. (29 + 19) ➗ 3

(48) ➗ 3

48➗ 3

There are 16 cards in each pile

Step-by-step explanation:

2. 14 3. 110 4. 71 5. 54 6. 16 7. 23

8. 75 9. 32 10. 22 11. 20 12. 48 13. 53

14. Spit 6 in half to get Melinda's length so the answer is 3

15. No the answer is not the same because you have to minus 18 to 8 (which is in the parenthesis) so the answer is 10. But the other way around you have to add 15 (which is in the parenthesis) plus 5.

I really hope I helped you

An equation that shows the relationship of 30% of x is 40

Answers

What do you mean? Try to explain

30% divided by x=40

The coffee shop is offering every 5th drink for 40% off. If my 9 friends and I each order a coffee that cost $4.00 and we pay together, what will our total be?

Answers

[MA]:

$28

The explanation:

The 5 coffees are 40% off.

5 x 4 = 20

40% - $20 = 12

4 x 4 = 16

12 + 16 = 28

Writer's note: I hope this helped.

[xArtsy]

105 was divided by some number, then added to 12. next, the sum was multiplied by 4, which gave a product of 20. find the number.
please show work and answer

Answers

105\x+12=x x4=20 math

help with these pleaseeeeeeeee

Answers

Answer:

The first answer is 3) 9(3r-4) and 27r-36

The second answer is 2) Y squared - 36/6

The third answer is 1) 300

Step-by-step explanation:

First answer :

Equivalent expressions are expressions that work the same even though they look different.

9(3r-4) is equal to 27r-36.

9 x 3r = 27r

9 x 4 = 36

27r-36

Second answer :

"The square of y decreased by quotient of 36 and 6" Explains the answer which is Y squared - 36/6

Third answer :

The formula you want to follow is: 2(LW+WH+HL)

2(LW+WH+HL) = 2(12x9+9x2+2x12)

2(12x9+9x2+2x12) = 300

GIVING BRAINLIEST!!
The sign show the cost of different games out of math festival. How much would it cost n people to play decimal decisions and ratio rage?

Answers

Answer:

It would cost n people $nd to play Decimal Decisions and $nr to play Ratio Rage. So, it would cost n people $nd + $nr= $2n(d + r).

d= Decimal Decisions and r= Ratio Rage

You didn't give a price for either game, so I just did variables in place of actual cost. Hope this helps!

Find the percent of change for the following.

Initial Value: 50

Final Value: 250

____%

Answers

400% increase

p=200/50×100
p=4×100
p=400%

400% is increase
Hope it helps

The perimeter of the backyard shown in the diagram below is 271 feet.

A four-sided closed figure is shown. The lengths of the sides are twelve times d plus four, four-fifths times d minus nine, two times d, and four times d minus six.

Write an equation in simplest form that represents the perimeter of the backyard in feet.

Part B. What is the value of d?

Answers

Answer:

A) 18.8d - 11 = 271

B) d = 15

Step-by-step explanation:

A choir is raising money to buy a new piano. Members have raised $480 so far. This amount is 60% of their goal. What is the choir's goal amount?

Answers

Answer:

Total amount wanted = 800

Step-by-step explanation:

480 represents 60% of the total amount

Let the total amount = x

60/100 * x = 480 Multiply both sides by 100

60*x = 480 * 100 Combine

60*x = 48000 Divide by 60

x = 48000 / 60

x = 800

Consider the following algebraic statements and determine the values of x for which each statement is true. One a number line, show the set of all points corresponding to the values of x:
x=|-x|

Answers

Answer:

Pls mark me brainliest

Step-by-step explanation:

x is positive = absolute value is positive

so they are equal

Answer:

Step-by-step explanation:

this is because absolute value is to explain x as how far it is from zero.

ex) |-5| becomes 5

another way is that is a negative number has absolute value symbol then it becomes positive but if it is positive with a absolute symbol it stays the same

PLS MARK BRAINLIEST

We toss a die four times. Among all possible outcomes, how many have at least one occurrence of "1"?

Answers

Answer:

15%

Step-by-step explanation:

15% chance it could happen

There is a %15 chance of the die landing on 1

Fred spent half of his allowance going to the movies. he washed the family car and earned six dollars. what is his weekly allowance if he ended with sixteen dollars?
please show work and answer.

Answers

Answer: 20

Step-by-step explanation:

20 - 1/2 = 10 + 6 = 16

Hope this helps! C:

A submarine is only allowed to change its depth by rising toward the surface in 60-meters stages. it starts off at (-340) meters.
a. At what depth is it after:
i. 1 stage
ii. 2 stages
iii. 4 stages

Answers

Answer:

2 stages

Step-by-step explanation:

i rlly need help pls and think you have a good day

Answers

Answer:

It would be 1

Step-by-step explanation:

The equation is ( 6-2) divided by ( 3 +1)
Using GEMDAS we do the groups first so
6 - 2 = 4
3 + 1 = 4
Divide 4 by 4 and the answer is 1

HELP!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

2. 3/4 x 7/5 > 3/4

3. 3/4 x 5/5 = 3/4

4. 3/4 x 2/5 < 3/4

5. Multiplying a number by a fraction greater than 1 (ex: 2*1.5 = 3) results in a product greater the the number we started with. Multiplying a number by a fraction less than 1 (ex: 2*0.7 = 1.4) results in a produce smaller than the number we started with. Multiplying a number by a fraction equal to 1 (ex: 2*1 = 2) results in a product equal to the number we started with.

Hope this helps!

Can you please help thanks

Answers

Fraction : 60/100
Percent : 60%

1) fraction 24/60... percentage 40%
2) fraction 1/2 ..... percentage 50%

i need some help with this which of the following shapes is a convex polygon?
A, B, C, or D

Answers

I believe it’s c because it’s the closest to what a convex polygon would look like

Answer: B

Step-by-step explanation:

it is an octagon and an octagon is a polygon

Oceanside bike rental shop charges a seventeen dollar fixed fee plus nine dollar an hour for renting a bike. mike paid sixty-two dollars to rent a bike. how many hours did he pay to have the bike checked out?

Please show work and answer.

Answers

Answer:

Step-by-step explanation:

1. (you subtract 17 because of the fine) 62-17=45

2. (you divide 62 by 9 because its the price per hour)62/9=5

Given the lengths of two sides of a triangle, write an inequality to indicate between which two numbers the length of the third side must fall. 22 and 15.

Answers

Answer:

1. 5 <3rd side<21 2. 12.1<3rd side<35.1

Step-by-step explanation:

;-)

What is the domain

The range

The x intercept

The y intercept

The vertex minimum value axis of symmetry

Open up or down?

Answers

Answer: Give the domain and the range of each quadratic function whose graph is described. The vertex is (−1,−2)(−1,−2) and the parabola opens up.

The range because it’s the smallest and the largest number subtracted

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