The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=

The Measures Of The Angles Of A ABC Are Given By The Expressions In The Table.AngleMeasureA(4x 13)B15(x

Answers

Answer 1

Answer:

m∠A = 115°

m∠C = 50°

Step-by-step explanation:

By triangle sum theorem,

Sum of measures of all interior angles of a triangles equals to 180°.

m∠A + m∠B + m∠C = 180°

By substituting the values of the angles from the given table,

(4x - 13) + 15 + (x + 18) = 180

(4x + x) + (-13 + 15 + 18) = 180

5x + 20 = 180

5x = 180 - 20

x = [tex]\frac{160}{5}[/tex]

x = 32

m∠A = (4x - 13)° = 4(32) - 13

                          = 115°

m∠C = (x + 18)° = 32 + 18

                         = 50°

Answer 2

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

What are the measures of the internal angles of the triangle ABC?

According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:

(4 · x - 13) + 15 + (x + 18) = 180

5 · x + 20 = 180

5 · x = 160

x = 32

Finally, the measure of the angles A and C from the triangle ABC are, respectively:

m ∠ A = 4 · 32 - 13 = 115°

m ∠ C = 32 + 18 = 50°

Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5

To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5


Related Questions

Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!

Come up with a real world situation that would involve finding the area of a circle.

Answers

Well, if I were to come up with a real world situation that would involve finding the area of a circle then I think that a good real world situation would be finding the area of a circular sandpit.

Romeo paid 380.75 in car repairs the sales tax is 7.5%. What is the total that Romeo has to pay

Answers

Step-by-step explanation:

Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31

Do my boys got me? Also giving brainliest ! Need D, E, and F

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Answer:

Darn, I could have helped you but I'll leave it to the boys :) goodluck!!

Help. I have a D in this class.

Complete the square to re-write the quadratic function in vertex form:

Answers

Answer:

y = (x - 4)² - 26

Step-by-step explanation:

To complete the square, all we need to do is take term -8x, and add enough to make the equation come out to the square of half that.  Half of -8 is -4, so we need to add 26 to the equation to end up at 16:

[tex]y = x^2 - 8x - 10\\y + 26 = x^2 - 8x + 16\\y + 26 = (x - 4)^2\\y = (x - 4)^2 - 26[/tex]

Giving us the final result

State all the integer values of x in the interval -2 ≤ x ≤ 4 that satisfy the following inequality 5x+5 ≥3

Answers

Answer:

0, 1, 2, 3, 4

Step-by-step explanation:

solving 5x + 5 ≥ 3 we get x ≥ -2/5

all values above, and including, zero are solutions

ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX

Answers

Answer:

147°

Step-by-step explanation:

supplementary angles equal to 180° in total so...

180 - 33 = 147

(HELP NEEDED PLEASE) A claw arcade machine contains stuffed animals and mystery boxes. There are 44 items in the machine. Winning a stuffed animal has three times as many favorable outcomes as winning a mystery box. How many of each item is in the machine?

Answers

There are 33 stuffed animals and 11 mystery boxes
Answer: 33 stuffed animals and 11 mystery boxes.

Since there are 44 items, the number of stuffed animals is 3/4 of the amount, and the mystery boxes is 1/4. You have to split 44 in 4 pieces.

44 / 4 = 11

When you’re trying to find the stuffed animals, multiply by 3, since 11 x 3 is 3/4 of 44. And for the mystery boxes, multiply it by 1, since 11 x 1 is 1/4 of 44.

Geometry: If you are right I'll give brainliest

Answers

Answer:

Step-by-step explanation:

Looks like we both struggle with geometry

Determine the value of x.

Answers

Answer:

The value of x is 14.75(2)

Step-by-step explanation:

If the vertices of a quadrilateral lie on the circumference of a circle, then this quadrilateral is a cyclic quadrilateralIn the cyclic quadrilateral, every two opposite angles are supplementary (the sum of their measures is 180°)

In the given figure

∵ The vertices of the quadrilateral BCED lie on the circumference of circle A

→ By using the 1st rule above

BCED is a cyclic quadrilateral

∵ ∠B and ∠E are opposite angles in the cyclic quadrilateral BCED

→ By using the 2nd rule above

m∠B + m ∠E = 180°

∵ m∠B = 6x + 10

∵ m∠E = 81.5°

6x + 10 + 81.5° = 180°

→ Add the like terms on the left side

6x + 91.5 = 180

→ Subtract 91.5 from both sides

∵ 6x + 91.5 - 91.5 = 180 - 91.5

∴ 6x = 88.5

→ Divide both sides by 6 to find x

x = 14.75

3+(7-5)to the power of 2 x 6

Answers

Answer:

27

Step-by-step explanation:

PEMDAS

That is the order that you should solve complex equations

You first do equations in Parentheses

Then exponents

Then Multiplication or Division (whichever comes first in the equation)

Then Addition or Subtraction (again, whichever comes first in the equation)

So we first do the equation in parentheses, 7 - 5

7 - 5 = 2

Then we do the exponent (to the power of 2)

2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)

Next, we multiply 4 by 6

4 x 6 = 24

And finally addition

3 + 24 = 27

Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers. She wants to arrange all the stickers in to books.Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?

Answers

Answer:

The number of stickers that would be in each book is :

3 animal stickers, 4 flower stickers, 5 star stickers

Step-by-step explanation:

Lisa has 24 flowers stickers, 18 animal stickers and 30 star stickers.

We solve this above question, using the Greatest Common Factor Method

We find the factors of 24, 18 and 30

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

We are told that: Each book has the same number of stickers and the same type of sticker how many stickers can be in each book?

For animal stickers

18 animal stickers

= 18 animal stickers/6

= 3 animal stickers

For flower stickers

24 flowers stickers

= 24 flowers stickers/6

= 4 flower stickers

For animal stickers

18 animal stickers

= 18 animal stickers/6

= 3 animal stickers

For star stickers

30 star stickers.

= 30 star stickers/6

= 5 star stickers

Therefore, the number of stickers that would be in each book is :

3 animal stickers, 4 flower stickers, 5 star stickers

Graph the system of linear inequalities.
y > 3x + 2
y ≤ 3x − 4

Answers

is the a line graph? if so i’ll send u the line graph

Step-by-step explanation:

this is what i according to the calculator

Someone please help me for good points

Answers

Answer:

The answer is C

Step-by-step explanation:

20 points Help I will mark brainliest

Answers

Answer:

The answer ia option 2

Step-by-step explanation:

When a line is parallel to the other line, they will have the same slope (gradient).

The new equation will be y = (1/4)x + b.

Next, you have to find the value of b, by substituting the coordinates into the equation :

[tex]y = \frac{1}{4} x + b[/tex]

[tex]let \: x = - 4,y = - 2[/tex]

[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]

[tex] - 2 = - 1 + b[/tex]

[tex]b = - 1[/tex]

Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.

Answers

Complete question :

Simon bought furniture for his apartment for a total of $2,900. The store financed his purchase for 18 months at 0% interest, and there is no minimum monthly payment amount. Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off.

Set up an equation such that Tn represents the total amount Simon still owes after n months.

Calculate the amount Simon still owes at the end of one year after his purchase.

Answer:

Tn = 2900 - 180(n - 1)

Tn = $920

Step-by-step explanation:

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Hence,

Tn = 2900 - 180(n - 1)

Amount owed at the end of one year after purchase :

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is :

Tn = 2900 - 180(n - 1)

Tn = $920

"To understand the calculation, check below."

Interest

What all information we have ?

Cost of furniture = $2900

Assume no interest

Amount paid in first month = 0

Constant amount to be paid after first month = $180

T amount owed after n, months :

Tn = Cost of furniture - amount to be paid per month * (Number of months - 1)

Tn = 2900 - 180(n - 1)

Tn = 2900 - 180(12 - 1)

Tn = 2900 - 180(11)

Tn = 2900 - 1980

Tn = $920

The Simon decides to pay nothing the first month, and then $180 per month after the first month towards the total until it's paid off is Tn = $920.

Learn more about "Interest":

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Please Help Quick ASAP Hurry
Find the constant of variation for the relationship shown in the following table:

x 1 2 3 4
y 4 8 12 16

A. 1
B. 2
C. 3
D. 4

Answers

Answer:

vfca

Step-by-step explanation:

vaddavavthui sn fa

i need help with this​

Answers

Answer:

We conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]

Least Common Multiple of x+4, x+6:  (x+4) (x+6)

Adjusting fractions based on the LCM

[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]

since the denominators are equal, combine the fractions:

[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

so the expression becomes

[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]

[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]

simplify

[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

Therefore, we conclude that:

[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]

3 = m/12
What is m?

It is for math

Answers

Answer:

m is equal to 36.

Step-by-step explanation:

To get rid of division, all you need to do is multiply both sides of the equation by the denominator, which is 12 in this case:

[tex]3 = \frac{m}{12}\\\\3 \times 12 = \frac{m}{12} \times 12\\\\36 = m[/tex]

So m is equal to 36

Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?

Answers

Answer:

40%

Step-by-step explanation:

(850-510)/850 = 340/850 = 2/5 = 40%

Answer: 40% I looked it up

Step-by-step explanation:

Describe in words the translation represented by the vector (2. – 1).
A. 2 units to the right and Duunit down
B. 1 unit to the right and 2 units down
C. 2 units to the left and Duunit down
D. 2 units to the left and 1 unit up

Answers

C hope that helps have a god day

P
Find the surface area of a closed box with base width 3 cm, base length 5 cm and height 4 cm.
5 cm
1
4 cm
3 cm
4 cm
5 cm
3 cm
O 74 cm
O 15 cm
O 79 cm
O 94 cm

Answers

Answer:

Surface area of box = 94cm²

Step-by-step explanation:

Given that:

Width of box = 3 cm

Length of box = 5 cm

Height of box = 4 cm

Surface Area = 2lw + 2lh + 2hw

Surface area = 2( lw + lh + hw )

Surface area = 2(5*3 + 5*4 + 4*3) = 2(15+20+12)

Surface area = 2(47) = 94 cm²

Hence,

Surface area of box = 94cm²

Find the slope of the line that passes through (9,4) and (4,11)

Answers

-7/5

hope this helps

George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help you solve the problem. 25 × = n

Answers

25(cards per month) x12(months in one year) =300 cards at the end of one whole year

Answer:300

Step-by-step explanation:

25 times 12

Plzz help me ill give u brainlist

Answers

Answer:

B. A 100° angle

Step-by-step explanation:

Im pretty sure its an 100 degree angle :)

B.

Help cri cri will give brainly

Answers

Answer:

7/6

Step-by-step explanation:

trust me i promise this is right

Solve the System of Equations -4x + 9y = 14 12x - 10y = - 8

Answers

Answer:

(1, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x + 9y = 14

12x - 10y = -8

Step 2: Rewrite Systems

-4x + 9y = 14

Multiply everything by 3:                    -12x + 27y = 42

Step 3: Redefine Systems

-12x + 27y = 42

12x - 10y = -8

Step 4: Solve for y

Elimination

Combine 2 equations:                    17y = 34Divide 26 on both sides:                y = 2

Step 5: Solve for x

Define equation:                    12x - 10y = -8Substitute in y:                       12x - 10(2) = -8Multiply:                                  12x - 20 = -8Isolate x term:                        12x = 12Isolate x:                                 x = 1

Step-by-step explanation:

HERE,

two equation are,

●-4x+9y=14••••••••••••(equation I)

●12x-10y=-8•••••••••••(equation II)

First multiplying 3 in equation I

we get,

[tex]\bold{3×(-4x+9y=14) }[/tex]

=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)

Then,

we combine the equationii and equation III.

we get that,

[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]

[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]

Then,

put the value of y in equation II.

WE get,

[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]

So,

solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)

whats 13/12 as a mixed number?

Answers

1 1/12, hope that helps :)

The required solution in mixed form is,

⇒ 1 1/12

We have to given that,

To change the fraction 13/12 into mixed number.

We know that,

Mixed fraction is written as,

a b/c

Where, a, b  and c are whole number.

Here, Fraction is,

13 / 12

After divide,

1 1/12

Therefore, The required solution in mixed form is,

⇒ 1 1/12

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

i need help with this (introduction to prove triangles congruent using sss or sas)​

Answers

Answer:

Below:

Step-by-step explanation:

Given:

Line QR≅Line SR

Line PQ≅Line PS

Reflexive Property:

Line RP≅Line RP

SSS Theorem:

ΔPQR≅ΔPSR

Solve for x. Look at the image attached thanks.

Answers

Answer:

x=2.2

Step-by-step explanation:

You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.

So we can use the following ratios to solve for ED=x:

subject: [Mathematics]​

Answers

Answer: 3.19______________________________________Honey, all you need to do is multiply.−2.75 by −1.16______________________________________

Since the rational numbers are in parenthesis next to each other it means you have to multiply both of the numbers together.

______________________________________

Hope this helped at least a little bit!~

Also fun fact!

Your a beautiful person, and worth so much.

You deserve the world and more!

So please don't let anyone say otherwise, there are so many people in this world who love you.

And if someone can't see your beauty then their rather blind or your just to bright for them!

Your amazing, so keep on with life, stay strong, and live long because I love you!

Answer:

-12.98

Step-by-step explanation:

Uhhhhh.... I dunno lol

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