In ΔHIJ, \text{m}\angle H = (4x+1)^{\circ}m∠H=(4x+1) ∘ , \text{m}\angle I = (2x-6)^{\circ}m∠I=(2x−6) ∘ , and \text{m}\angle J = (6x-7)^{\circ}m∠J=(6x−7) ∘ . Find \text{m}\angle J.M∠J.

Answers

Answer 1

Given:

In ΔHIJ, m∠H=(4x+1)° , m∠I=(2x−6)°, and m∠J=(6x−7)° .

To find:

The m∠J.

Solution:

According to  the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In ΔHIJ,

[tex]m\angle H+m\angle I+m\angle J=180^\circ[/tex]       [Angle sum property]

[tex](4x+1)^\circ+(2x-6)^\circ+(6x-7)^\circ=180^\circ[/tex]

[tex](12x-12)^\circ=180^\circ[/tex]

[tex]12x-12=180[/tex]

Add 12 on both sides.

[tex]12x=180+12[/tex]

[tex]12x=192[/tex]

Divide both sides by 12.

[tex]x=16[/tex]

Now,

[tex]m\angle J=(6x-7)^\circ[/tex]

[tex]m\angle J=(6(16)-7)^\circ[/tex]

[tex]m\angle J=(96-7)^\circ[/tex]

[tex]m\angle J=89^\circ[/tex]

Therefore, the measure of angle J is 89 degrees.


Related Questions

Brandt is buying a new set of golf clubs for

$584. If the clubs are on sale now for 30%

off and sales tax is 7%, how much will he

pay in total?

HHEELLPP I HAVE A TEST TOMOROW!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Original : $437.416 Rounded to Nearest Cent : 437.42

Step-by-step explanation:

Turn 30% into a decimal which is 0.3. Now multiply 0.3 by 584.

0.3 x 584 = 175.2

Now you have to subtract the answer by the original price, $584.

584 - 175.2 = 408.8

Finnaly, you have to find the sales tax of $408.8. In order to find that, you have to convert 7% into a decimal which is 0.07, then multiply it by 408.8. Then you have to add 408.8 to the following answer.(You can change a percent into a decimal by doing the number divided by 100)

0.07 x 408.8 = 28.616

408.8 + 28.62 = 437.42

Here's your answer. I know I'm late.

The cost of the kit is $437.416

What is discount?

A deduction from the usual cost of something, typically given for prompt or advance payment or to a special category of buyers.

Given that, Brandt is buying a new set of golf clubs for $584. If the clubs are on sale now for 30% off and sales tax is 7%, we are asked to how much will he pay in total,

The cost of golf kit will be,

= (100-30)% of 584 + 7% of (100-30)% of 584

= 70% of 584 + 7% of 70% of 584

= 408.8 + 28.616

= 437.416

Hence, the cost of the kit is $437.416

For more references on discount, click;

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1/3 + 5 3/4
HELP!! PLEASE!!!

Answers

The answer is 73/12.

Answer:

[tex]6 \frac{1}{12}[/tex]

Step-by-step explanation:

1) Use Least Common Denominator or (LCD)

LCD = 12

2) Make the denominators the same as the LCD.

[tex]5 + \frac{1 times 4 }{3 times 4 } + \frac{3 times3}{4times 3}[/tex]

3) Simplify. Denominators are now the same.

[tex]5 + \frac{4}{12} +\frac{9}{12}[/tex]

4)  Join the denominators.

[tex]5+ \frac{4+9}{12}[/tex]

5)  Simplify.

[tex]5+\frac{13}{12}[/tex]

6) Convert 13/12 into a mixed number.

[tex]5+ 1 \frac{1}{12}[/tex]

7)  Simplify.

[tex]6 \frac{1}{12}[/tex]

Decimal Form: 6.083333

Mya and her 2 best friends have dinner at a restaurant. The bill
totals $32, including tax. The friends leave an 18% tip and split
all costs equally. How much does each person pay?

Answers

Answer:16.6667

Step-by-step explanation:

Answer:

19.2

Step-by-step explanation:

=(x+2)^2-4
Identify the vertex

Answers

Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = (x + 2)² - 4 ← is in vertex form

with (h, k ) = (- 2, - 4 ) ← vertex

Order the numbers 2 , −1/2 , √16, √ 5 , and 4.05 from least to greatest.

Answers

Answer:

-1/2, 2, √5, √16, 4.05

Step-by-step explanation:

-1/2 = -0.5

2 is bigger than -0.5 so it goes after -0.5

√5 = 2.24, goes after 2

√16 = 4, goes after √5

4.05 is greater than all these values

Romello asked 100 students to choose their favorite subject from among mathematics, history, and art. She found that 22 students chose mathematics, 26 history, and the rest art. What percent of students chose art

Answers

Answer:

The percentage of students who chose art is 52 %

Step-by-step explanation:

Given;

total number of students, T = 100 students

number of students who chose mathematics, m = 22

number of students who chose history, h = 26

number of students who chose art, a = 100 - (22 + 26)

number of students who chose art, a = 52

percentage of students who chose art = (a / T ) x (100%)

= (52 / 100) x (100%)

= 52 %

Therefore, the percentage of students who chose art is 52 %

Order the sides of each triangle from shortest to longes


Answers

Answer:

LM, LK, MK

Step-by-step explanation:

Answer:

Line ML, Line LK, and line MK

Step-by-step explanation:

Just remember that the biggest angle goes with the biggest side. And the pair is across. So 108 is a pair with line MK etc.

is 14.19274128... rational or irrational?

Answers

Answer:

Irrational

Step-by-step explanation:

Because it is on going

Hi! 14.19274128 is IRRATIONAL. hope this helps you! Good luck and have a great day/night. ❤️✨

20 POINTS AND BRAINLIEST
What is the solution to the inequality shown?
2-x< 4 - 3x
A. X > 1
B. X < 1
C. X > -1
D. X < -1

Answers

The answer is option c pls brainliest

Answer:

B: x>1

Step-by-step explanation:

PLEASE HELP. MATH QUESTION IS IN PICTURE. WILL GIEV BRAINLIST FOR CORRECT ANSWER

Answers

answer:

hope this helps

Answer:

A. -x^2+4x+6 i think

Step-by-step explanation:

change all - to + and vise versa in g(x) equation and add the equations together

f(x)=4x+1

g(x)=-x^2+5

PLZ HELP ME I AM STRUGGLING!!!!!!!!

Answers

Answer:

2/5 & 1/10

Step-by-step explanation:

So, the result we are looking for is 3/2

Simplify the following:

1/5 + 7/10 + 3/5

Put 1/5 + 7/10 + 3/5 over the common denominator 10. 1/5 + 7/10 + 3/5 = 2/10 + 7/10 + (2×3)/10:

2/10 + 7/10 + (2×3)/10

2×3 = 6:

2/10 + 7/10 + 6/10

2/10 + 7/10 + 6/10 = (2 + 7 + 6)/10:

(2 + 7 + 6)/10

2 + 7 + 6 = 15:

15/10

The gcd of 15 and 10 is 5, so 15/10 = (5×3)/(5×2) = 5/5×3/2 = 3/2:

Answer: 3/2

The first square is 3/10+8/10 = 11/10 + 2/5 = 3/2

The second square 9/10+1/2 = 7/5 + 1/10 = 3/2

what is 0.000000000065 in scientific notation

Answers

6.5 x [tex]10^{11}[/tex]

Answer:

6.5 × 10^-11

make sure its -11 because its a really small decimal. if it wasn't -11 i'd be huge.

Help me pleaseeeeeeeeee? :)

Answers

Answer:

B

Step-by-step explanation:

Hope this helps :3

Answer:

39.8°

Step-by-step explanation:

tan∅= opp/adj

tan∅=5m/6m

tan∅=0.8333

arc tan 0.8333=∅

39.8°=∅

Three trees are planted. The direct distance from tree A to tree B is 200 feet. The direct distance between tree B and tree C is 300 feet. What is the direct distance between tree A and tree C?

Answers

Answer:

500ft

Step-by-step explanation:

DISTANCE BETWEEN TWO POINTS

We want to firstly assume that the the three trees lies on the same line

so tress A,B and C are on the same line

Given

The direct distance between A to B= 200 ft

The direct distance between B to C= 300 ft

hence A to C= 200+300= 500ft

let us do a graphical representation for better understanding

A----B-----------C

200ft    300ft

A---------- -----C

       500ft

A to C= 500ft

Answer:

Between 100 and 500

Step-by-step explanation:

A to B is 200

And b to c is 300

A to C =500

200-300=100

Answer = Between 100 and 500

Uhm what is 30 ×4÷ 5?


-ω-

Answers

30 * 4/ 5 equals 24!!!
First you would multiply 30 * 4 to get 120. Next you would divide that by 5 to get 24! I hope this helps!!!

Answer:

24

Step-by-step explanation:

30 x 4 = 120

120 / 5 = 24

At a one-day sale, Alisha bought a skirt for $25. The next day, her friend Merideth bought the same skirt and found that it was marked up 30%. How much did Merideth pay for the skirt?

Answers

Answer:

$32.5

Step-by-step explanation:

given that the initial value was

$25

we want to solve for a 30% increase

let us calculate 30% of $25 first which is

30/100*25

=0.3*25

=$7.5

we then have to add this 7.5 to the initial cost

therefore the cost of the skirt Merideth pay

is=25+7.5

=$32.5

Answer:

32.50

Step-by-step explanation:

find 30 percent of 25, then add it to 25.

Can Anybody Help? Very Much Needed

Answers

Answer:

supplementary, 81

Step-by-step explanation:

this is because the line is straight so the other angle has to make it make up 180º.

so 180-99 = 81

need help with solving equations

Answers

Answer:

No solutions

Step-by-step explanation:

-3(6 - 2x) + 23 = 4 - 1/3(-18x - 2)

~Distribute both sides

-18 + 6x + 23 = 4 + 6x + 2

~Combine like terms

5 + 6x = 6 + 6x

~Subtract 5 to both sides

6x = 6x + 1

~Subtract 6x to both sides

0 = 1

Best of Luck!

Money that is collecting interest in a bank account doubles in value every 8 years When the account was opened, it had 8 or 2 ^ 3 dollars in it. After 32 years, the account balance has doubled 4 times, increasing by a factor of 2 ^ 4 It now has a balance of 2 ^ 3 * 2 ^ 4 Expressed as a power, how much money, in dollars, is in the account after 32 years?
A. 4^7
B.2^12
C.2^4
D.2^7

Answers

Answer:

the answer should be d

Expressed as an exponent, [tex]2^{7}[/tex] dollars is in the account after 32 years.

How to multiply exponents?

According to the exponent rule for multiplication with the same base, we simply add the powers.

[tex]X^{n} *x^{m} = x^{n+m}[/tex]

[tex]2^{3} *2^{4} = 2^{3+4} = 2^{7}[/tex]

Learn more about multiplying exponents here

https://brainly.com/question/3668921

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The class average for the first test was 72. The average for the second test was 86. What is the percent change?

Answers

Answer:

14 percent

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

because 86-72 equals 15

What is the value of the expression 10(n-8) when n=14

Answers

Answer:

80

Step-by-step explanation:

14-8=8

then 10 times 8 equals 80

The answer is 60
Sense n=14 you would replace the variable for the number. So you equation should be 10 (14-8). 14-8=6 the multiply by 10 and you get 60

HELP ME WITH MORE MATH PLEASES!!

Answers

that is a positive slope

Here are the ingredients needed to make 8 pancakes.
Jacob makes 24 pancakes, work out how much milk he needs

Answers

Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

I need help with this !

Answers

Answer:

$24

Step-by-step explanation:

if it helps make it braintliest please

Answer: D

Explanation: 28-10+12+4

En una reunion de padres se hallan presentes 40 madres y 50 padres se ha decidido elegir por sorteo un delegado cual es la probabilidad de que resulte elegida una mujer?

Answers

Answer:

4/9

Step-by-step explanation:

El número total de madres = 40

El número total de padres = 50

Número total de personas = 40 + 50 = 90

Se da la probabilidad de que una mujer sea elegida: 40/90

= 4/9

Por tanto, la probabilidad de que una mujer sea elegida es de 4/9

The perimeter of a triangle is 13 inches . What is the length of the shortest side?

Answers

Answer:

shortest side = 3 in

Explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 +  = 13, that is

x + 1 +  = 13 ( subtract 1 from both sides )

x +  = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

 x - 5 = 8 - 5 = 3 and  =  = 4 , then

The shortest side is x - 5 = 3 in

PLEASE HELP ASAP!! I WILL GIVE YOU 50 POINTS!!

Describe one or two ways in which the size of a right triangle affects the sine and cosine values of the triangle's acute angles as well as one or two ways in which it does not affect those values. Predict the minimum amount of information that needs to be known about the acute angles and/or sides of a right triangle for you to be able to solve the triangle, providing examples.

Answers

Answer:

Each leg in a right triangle is adjacent to one of the acute angles and opposite the other acute angle.

Keep in mind that the labels “opposite” and “adjacent” depend on which angle you are talking about. The side opposite an angle does not need to be the height of the triangle. Consider the following example:

Step-by-step explanation:

one of the acute angles has a measure of any number.

Answer:

[tex]first \: it \: all \: depends \: on \: the \: position \: of \: the \: various \: angle \: \\ with \: respect \: to \: the \: sides \:o f \: the \: right \: angled \: triangle. \\ second \: the \: sides \: with \: out \: the \: cosine \: and \: sine\: rule \: will \: have \: no \: relationship \: with \: the \: acute \: angle.[/tex]

Step-by-step explanation:

[tex]let \: the \: sides \:o f \: a \: particular \: right \: angled \\ \: triangle \: be :x \: y \: and \: z \: \\ let \: x \: be : opp \\ let \: y \: be : adj \\ let \: z \: be : hyp \\then \\ \bull \: the \: sin \: relationship \: is \: given \: by : \\ \sin(of \: that \: aute \: angle) = \frac{opp \: side \: o f\: the \: right \: angled \: trianle}{hyp \: side \: o f\: the \: right \: angled \: trianle} = \frac{x}{z} \\while \\ \bull \: the \: cosin \: relationship \: is \: given \: by : \\ \cos(of \: that \: aute \: angle) = \frac{adj \: side \: o f\: the \: right \: angled \: trianle}{hyp \: side \: o f\: the \: right \: angled \: trianle} = \frac{y}{z} \\ \\ eg. \: if: \\ \: x \: be : opp \: and \: = 4 \\ \: y \: be : adj \: and \: = 2 \\ \: z \: be : hyp \: and \: = 12 \\ then : \\ \bull \: the \: sin \: relationship \: is \: given \: by : \\ \sin( \beta ) = \frac{x}{z} = \frac{4}{12} = 0.3333333333 \\ \beta = \sin {}^{ - 1} (0.3333333333) = 19.47 \\ while : \\ \bull \: the \: cosine \: relationship \: is \: given \: by : \\ \cos( \beta ) = \frac{y}{z} = \frac{2}{12} = 0.1666666667 \\ \beta = \cos {}^{ - 1} (0.1666666667) = 80.41[/tex]

♨Rage♨

Just answer plz I need help

Answers

Answer:

i think its b or d?

Step-by-step explanation:

3 Answers: Choice A.  (-2, 0)Choice B.  (0, -1)Choice D.  (-3, 0)

=================================================

Explanation:

See the diagram below. I've added blue dots to the image to show where each answer choice is plotted in terms of its (x,y) coordinates.

Any point in the green shaded region is a solution. Any point on the solid boundary line is also a solution as long as the boundary is adjacent to the green inner shaded region.

The horizontal line is dashed, so points along that line are not part of the solution. Think of it as an electric fence you cannot touch. The diagonal boundary line is solid, so we don't have this issue.

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

In the diagram I've labeled the answer choices as A through E

Choices A,B, and D are either in the green inner shaded region or on the diagonal solid boundary line (which is adjacent to the green inner region). So these three points are solutions.

Something like choice C is completely outside the shaded region and not even on a boundary line. So we can rule this point out.

Choice E is the other non-answer because it sits on the dashed boundary line.

PLEASE SOMEONE HELP ME!!!!!!!!

Answers

Answer:

The slope is -4

Step-by-step explanation:

To find the slope in this equation you first need to find the difference of y.

2 + (-4) = -2

-2 + (-4) = -6

so the difference of y is -4

Then you find the difference of x

0 + 1 = 1

1 + 1 = 2

So, the difference of x is 1

slope is rise over run (rise meaning the y-axis and run meaning the x-axis)

so the slope is -4/1

find the rate of change for the linear function given in the table

Answers

Answer:

                   .

Step-by-step explanation:

                    ..          

You forgot to add the extra information.

But if it helps here Is the slope formula

(X1, Y1). (X2, Y2)

Y2-Y1
———-
X2-X1

Hope this helped ;)
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