b. Solve for x in the
triangle:
74°
6x + 17
35

B. Solve For X In Thetriangle:746x + 1735

Answers

Answer 1
x = 9

Step-by-step explanation:

74° + 35° + ( 6x + 17° ) = 180°6x + 17° = 180° - 74°- 35°6x + 17° = 180° - 109°6x + 17° = 71°6x = 71° - 17°6x = 54x = 54÷6x = 9

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Answer 2
Topic :-

Triangles

Given :-

A diagram with angles 74°, 35° and ( 6x + 17 )°.

To Find :-

Value of x.

Concept Used :-

Sum of all angles in a triangle is 180°.

Solution :-

Sum of all angles in a triangle = 180°

74° + 35° + 6x + 17° = 180°

6x + 74° + 35° + 17° = 180°

6x + 126° = 180°

6x = 180° - 126°

6x = 54°

x = 9

Answer :-

So, value of x is 9.


Related Questions

Question 6
A triangle has vertices at (-9,2).(-9, -6), and (-3,-6). What is the perimeter of the triangle in units?

Answers

Answer:

Step-by-step explanation:

On a boat tour there are half as many children as there are adults. There are 30 people on the tour. How many children are there?

Answers

Answer:

10 children

Step-by-step explanation:


5.A store had five different lengths of extension cords for sale. Four of the
lengths were 9 feet, 10 feet, 12 feet, and 8 feet. The range of the lengths
of all the extension cords was 6 feet. Which could be the length of the fifth
size of extension cords?

Answers

Range is the difference between the largest number in a series and the smallest. The problem says the range is 6 feet. So if 12 is the longest, we can subtract 6 from that and see the fifth one is 6 feet long. Another option is to take the 6 (range), and add it to the shortest one we know, 8 feet. 6+8= 14

Your answer is “6 feet or 14 feet”

Answer:

Your answer is 6 feet because if the rang is 6 than the fith number would be 6.

Rang is the maximum number in this cause is 12, minis the minimum.

THIS IS A MULTIPLE CHOICE QUESTION!

Corey, Billy, and Shea own a house repair and update business. The number of hours that each person spent painting and doing repair work on the same house is listed below.
• Corey: 4.25 hours
• Billy: 7.75 hours
• Shea: 10.5 hours
They earned a total of $1,100 for the job and put 25% of the money earned in an account for future expenses. If they divide the money proportionally based on the number of hours each worked, how much money did Shea receive?
A.$385
B.$412.50
C.$413.33
D.$641.77
Please show ALL of your work.

Answers

Answer:

The correct answer is A. $385.

Step-by-step explanation:

Since Corey, Billy, and Shea own a house repair and update business, and the number of hours that each person spent painting and doing repair work on the same house is listed below.

• Corey: 4.25 hours

• Billy: 7.75 hours

• Shea: 10.5 hours

And since they earned a total of $ 1,100 for the job and put 25% of the money earned in an account for future expenses, to determine how much money Shea received if they divided the money proportionally based on the number of hours each worked is owed perform the following calculation:

1100 x 0.75 = 825

10.5 + 7.75 + 4.25 = 22.5

22.5 = 100

10.5 = X

10.5 x 100 / 22.5 = X

1050 / 22.5 = X

46.666 = X

825 x 0.4666 = X

384.99 = X

Therefore, Shea received $385.


2, 3,6
Write the fact family formed by these numbers.

Answers

Answer:

‍♀️

Step-by-step explanation:

villian

Answer:

2, 3, and 6:

2 X 3 = 6,

3 X 2 = 6,

6 � 2 = 3

6 � 3 = 2.

Hope it helps

Please mark me as the brainliest

Thank you

Help pls

What is the main detail when Multiplying a Difference of Squares?
There is no "A" Value
There is no "B" Value
There is no "C" Value

Ik it’s not c!

Answers

I think it’s B value but I’m not sure

In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?

Answers

Step-by-step explanation:

✰ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} : [/tex]

AD = 15 , AB = 8 , [tex] \angle[/tex] DAB

✰ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} : [/tex]

Height & Area of the given parallelogram

✰ [tex] \underline{ \underline{ \large{ \tt{S \: O

\: L \: U \: T\: I\: O \: N}}}} : [/tex]

In right angled triangle ABE :

Hypotenuse ( h ) = 8Perpendicular ( p ) = h [ height ][tex] \theta[/tex] = 20°

Now , Using trigonometric ratio :

[tex] \large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}[/tex]

Plug the known values :

⟶ [tex] \large{ \tt{ Sin(20) = \frac{h}{8} }}[/tex]

⟶ [tex] \large{ \tt{0.34 = \frac{h}{8}}} [/tex]

⟶ [tex] \large{ \tt{h = 0.34 \times 8}}[/tex]

⟶ [tex] \large{ \tt{h = 2.72}}[/tex]

Now , We have :

Base ( b ) = 15Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ [tex] \underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}[/tex]

⟶ [tex] \large{ \tt{A = 15 *2.72}}[/tex]

⟶ [tex] \large{ \tt{A = 40.8 \: {units}^{2} }}[/tex]

Hence , Our final answer :

[tex] \large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}[/tex]

[tex] \large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# [tex] \underbrace{ \tt{Carry \: On \: Learning}}[/tex] !! ✎

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Is this correct? Geometry Math Question

Answers

QW= 140°

hope that helped^^

Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.

Answers

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

How to choose what quantity to multiply the first equation?

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]

then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as  [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

Using above method for getting the needed constant

The system of equation we've got is

[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]

Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]

The resultant system of equation we will get is:

[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]

Thus,

The first equation should be multiplied by the constant 5

Learn more about system of linear equations here:

https://brainly.com/question/13722693

What is the equation of the function that is graphed as line b?
YA
D.
5
Oy=2x+1
O y=-4x

Answers

Answer:

C

Step-by-step explanation:

so taking the slope from the points (0,1) and (2,2)

we get slope= 2-1/2-0=1/2 the y intercept is one

so y=mx+b(where m is the slope and b is the y intercept)

we get= y=1/2x+1

which is C

if my answer helps please mark as brainliest.

What is the slope of the line through (-4,2) and (3, 3)? "/ yo Choose 1 answer: 19 21 42 142 A А 7 5 B 7 5 5 7 5 7 e slope an​

Answers

Answer:

1/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-2)/(3-(-4))

m=1/(3+4)

m=1/7

an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.​

Answers

Answer:

Height, h = 21 millimeters.

Step-by-step explanation:

Given the following data;

Volume = 8792mm³

Radius = 20 mm

To find the height;

We know that the shape of an anthill is conical in nature.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.

Substituting into the equation, we have;

[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]

[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]

[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]

[tex] 8792 = 418.93*h [/tex]

[tex] Height, h = \frac {8792}{418.93}[/tex]

Height, h = 20.99 ≈ 21 mm.

Therefore, the height of the cone is 21 millimeters.

Allentown, Bakersfield, and Cowville are not in a line. If it is 57 miles in aline from Allentown to Bakersfield and 35 miles from Bakersfield to Cowville , how far is it from Allentown to Cowville?

Answers

Answer:

27

Step-by-step explanation:

322415154551

Answer:

92

Step-by-step explanation:

Just simply add 57 to 35.

57+35=92

13.1 divided by 1.6, answer quickly.

Answers

Answer:

8.1875

Step-by-step explanation:

8.1875 is the answer........

What is 25% of 60? I need this answer right away

Answers

Answer:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

4x-y=10
y=2
Pls show work will give Brainlyest

Answers

Answer:

give y is equal to 2

substituting the value of y, we get

4x -y = 10

4x=10 +2

4x=12

x=12÷4

therefore x =3

Explain why triangles with 3 congruent parts aren’t necessarily congruent.

Answers

Answer:

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.

1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?

2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?

Answers

Answer:

I think the volume would be 9 times greater, and the surface area would be 3 times greater

Step-by-step explanation:

Answer:

the volume would be 9 times greater

the surface area would be 3 times greater

Step-by-step explanation:

Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.

Josefina fue al banco para cambiar un cheque de $5000. La cajera le entregó 39
billetes, unos eran de $100 y otros de $200; ¿Cuántos billetes de $100 y cuantos de
$200 recibió Josefina?

Answers

Respuesta: 28 billetes de 100 y 11 billetes de 200

Explicación paso a paso:

X=39-y

200(39-y)+100y=5000

7800-200x+100y=5000

-100y=2800

Y=2800/100

Y=28 billetes de 100

X=39-28

X=11 billetes de 200

graph the ordered pairs on the coordinate plane

Answers

Answer:

where is the graph and the ordered pair

A fishing store gives customers 10 new lures for every 2 fishing poles they buy. How
many lures would the store give to a customer who bought 8 fishing poles?

Answers

Answer:

40 lures

Step-by-step explanation

First, 10 for every 2  means multiplication. 2 goes into 8   4 times. 4x2=8

10 lures multiplied by 4 is 40.

I hope this helps! ツ

what is the answer to solve for n

Answers

Step-by-step explanation:

According to pythagoras theorem the square length of hypotenuse is equal to sum of other two sides

n^2 + 19^2 = 15^2

n^2 + 361 = 225 if we subtract 361 from both sides

n^2 = -136 but the root of square cannot be negative

I believe there's a mistake in this question so you should ask your teacher.

Please answer for instant brainliest.

Answers

Answer:

5 T-shirts

or

35 T-shirts

Step-by-step explanation:

Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).

In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.

Lets start with 185 t-shirts.

If we do 185 shirts x $15 per shirt we get $2775

That is way above the total of $2,375 so we know that this cant be the answer.

Next we can do 110 t-shirts.

If we do 110 shirts x $15 this time we get $1650.

Now while this is less than the total this is not a multiple of 10.

To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.

$2,375 - $1650 = $725

Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.

Moving onto 35 t shirts lets take the same steps.

35 x $15 (price of adult t-shirt)

We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)

$2,375 - $525 = $1850.

Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.

So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.

Lets do the last one.

5 t shirts multiplied by $15

We get $75 from this and now lets subtract again from the grand total.

$2,375 - $75 = $2,300

Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.

Anyways I hope this helps :)\

EDIT :

I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.

Two triangles are cut from a rectangle to form a trapezoid. What is the ratio of the area of the trapezoid to the combined area of the triangles? A 18:54 C 54:18 B 18:72 D 72:18 12 in group of students is painting a background piece​

Answers

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

The image showing the trapezoid is missing, so i have attached it.

Answer:

C 54:18

Step-by-step explanation:

Formula for area of trapezoid is;

A_trap = ½(sum of parallel sides) × height = ½(12 + (12 - (3 + 3))) × 6

A_trap = ½(12 + 6) × 6

A_trap = 54 in²

Combined area of triangle:

A_tria = 2 × ½ × 3 × 6 = 18 in²

Thus;

A_trap:A_tria = 54 in²:18 in² = 54:18

Michael ordered the food and drinks below for himself and three friends. •3 hot dogs for $2.99 each •3 bags of French fries for $1.99 each •2 hamburgers for $3.99 each •4 drinks for $0.79. Michael and his friends will share the total cost of the food and drink equally. What was the cost per person?

Answers

Answer:

$6.52

Step-by-step explanation:

The 4 four friends got three hot dogs for $2.99. Multiply 3 hot dogs by $2.99, which is $8.97 They also got 3 bags of french fries for $1.99. Multiply 3 bags of french fries by $1.99, which is $5.97. Then, they decided to get 2 hamburgers for $3.99 each. Multiply 2 hamburgers by $3.99, which is $7.98 They wanted drinks to cool themselves off, so they got 4 drinks for $0.79. Multiply 4 drinks for $0.79, which is $3.16Take all of the numbers that was calculated and add them up together ($8.97 + $5.97 + $7.98 + $3.16) and you will get $26.08 as the total.They decided to split it equally, so take the $26.08 total and divide it by 4. You will get $6.52 per person.

Simplify the algebraic expression (8x + 16y)/2 + 4(x - y)

Answers

It's 8x + 16y/2 + 4x - 4y :))

Answer:

8x+4y

Step-by-step explanation:

Distribute:

=4x+8y+(4)(x)+(4)(−y)

=4x+8y+4x+−4y

Combine Like Terms:

=4x+8y+4x+−4y

=(4x+4x)+(8y+−4y)

=8x+4y

Answer:

=8x+4y

I hope I helped!!

HELPP!!! What is the measure of y? 4 9

Answers

Answer:

6

Step-by-step explanation:

4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]

The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.

x² = 4² + y²...(i)

z² = 9² + y²...(ii)

(4 + 9)² = x² + z²

13² = x² + z²...(iii)

Now, Subtracting eqn(ii) from eqn(iii) we have.

  169 = x² + z²

(-)  81 = -(y)² + z²

-------------------------

88 = x² + y²...(iv).

Now adding eqn(i) and eqn(iv) we have,

2x² = 104.

x² = 52.

Putting this value in eqn(i) we have,

52 = 16 + y².

y² = 36.

y = 6.

learn more about Pythagoras' theorem here :

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From an airplane flying over the ocean, the angle of depression to a submarine lying under the surface if 24 degrees 10 minutes. At the same moment, the angle of depression from the airplane to a battleship is 17 degrees 30 minutes. The distance from the airplane to the battle ship is 5120 ft. Find the distance between the battleship and the submarine.

Answers

I think is 10 m/ s per sec

simplify the following expression, show all work you did to get the results​

Answers

Answer:

(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...

Step-by-step explanation:

Simplify the following:

(sqrt(14))/(sqrt(18))

Hint: | Simplify radicals.

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

(sqrt(14))/(3 sqrt(2))

Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).

Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):

(sqrt(14) sqrt(2))/(3×2)

Hint: | Multiply 3 and 2 together.

3×2 = 6:

(sqrt(14) sqrt(2))/6

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).

sqrt(14) sqrt(2) = sqrt(14×2):

(sqrt(14×2))/6

Hint: | Multiply 14 and 2 together.

14×2 = 28:

(sqrt(28))/6

Hint: | Simplify radicals.

sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):

(2 sqrt(7))/6

Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.

2/6 = 2/(2×3) = 1/3:

Answer:  (sqrt(7))/3

Make a table for the rule y= -2x + 5

Answers

Answer:

y=5, x=0. that is the first. I'll leave the rest to you.

Step-by-step explanation:

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