In the triangle below, suppose that mZL=(x+3)°, mZ M=(5x-7)°, and m N= (2x).
Find the degree measure of each angle in the triangle.
N
(2x)
mL =
日。
х
M
(5x - 7).
m M =


mZN =
(x + 3)°

Answers

Answer 1

Answer:

Given

Triangle ABC is right angled at A.

[tex]m\angle B=(5x+7)^∠B=(5x+7)∘[/tex]

[tex]m\angleC=(4x+29)^∠C=(4x+29) [/tex]

To find:

The degree measure of each angle in the triangle.

Solution:

According to the given information,

[tex]m\angleA=90^\circm∠A=90[/tex]

[tex]m\angleB=(5x+7)^\circm∠B=(5x+7) [/tex]

[tex]m\angleC=(4x+29)^\circm∠C=(4x+29) ∘[/tex]

Now,

[tex]m\angleA+m\angleB+m\angleC=180^\circm∠A+m∠B+m∠C=180 ∘[/tex]

(Angle sum property)

[tex]90^\circ+(5x+7)^\circ+(4x+29)^\circ=180^\circ90∘+(5x+7)∘+(4x+29) ∘ =180[/tex]∘

[tex](9x+126)^\circ=180^\circ(9x+126)∘ =180∘[/tex]

9x+126=1809x+126=180

9x=180-1269x=180−126

9x=549x=54

Divide both sides by 9.

[tex] \sf{x=\dfrac{54}{9}x=954}[/tex]

x=6x=6

Now,

[tex]m\angle A=90^\circm∠A=90

∘[/tex]

[tex]m\angleB=(5(6)+7)^\circm∠B=(5(6)+7) [/tex]

[tex]m\angle B=37^\circm∠B=37[/tex]

[tex]m\angleC=(4(6)+29)^\circm∠C=(4(6)+29)[/tex]

[tex]m\angle C=53^\circum \: ∠C=53[/tex]

Therefore,

The measures of ∠A, ∠B, ∠C are 90°, 37°, 53° respectively.

Answer 2

Answer:

26°, 108°, 46°

Step-by-step explanation:

Assumed the given is:

ΔLMN with angle measures of (x + 3), (5x - 7) and 2x.

We need to find the angle measures in degrees.

We know the sum of interior angles is 180:

x + 3 + 5x - 7 + 2x = 1808x - 4 = 1808x = 184x = 184/8x = 23

Find the angle measures:

m∠L = x + 3 = 23 + 3 = 26m∠M = 5x - 7 = 5*23 - 7 = 108m∠N = 2x = 2*23 = 46

Related Questions

What is the value of 12+2(12-9)power 2 WITH CALCULATIONS

Answers

Answer:

30

Step-by-step explanation:

I don't know how to explain it sorry but can I still get brainliest please

Answer:

30

Step-by-step explanation:

1) Simplify 12 - 9 to 3.

12 + 2 × 3²

2) Simplify 3² to 9.

12 + 2 × 9

3) Simplify 2 × 9 to 18.

12 + 18

4) Simplify.

30

8(x-2)+9<3(x-1)+5x

a. x<-7
b. x<-3
c. no solution
d. all real numbers

thanks!!

Answers

Answer:

d

Step-by-step explanation:

Explain the parts of an angle

Answers

Answer:

line segments are the lines

rays are line segments that have one vertex

a vertex is the endpoint of a line(usually represented by a dot)

Step-by-step explanation:

The pages of a book are numbered 1 to 200 and each leaf is 0.15 mm thick. If each cover is 2.5 mm thick, calculate the thickness of the book. give your answer in
mm , cm , m

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Thickness of the book is ~

[tex]20 \: mm = 2 \: cm = 0.02m[/tex]

Refer to the attachment for solution ~


Anna is counting the number of seeds in her fruit. Her watermelon has one less than three times the number of seeds as her apple. Her orange has 13 less than 5 times the number of seeds as her apple. Her watermelon has more seeds than her orange. Which inequality represents the number of seeds her apple could have?

Answers

Inequalities are used to represent unequal expressions

The inequality that represents the number  of  seeds her apple could  have is [tex]\mathbf{A < 6}[/tex]

Represent the fruits with the first letter.

So, we have:

[tex]\mathbf{W =3A - 1}[/tex] --- watermelon is one less than three times apple

[tex]\mathbf{O =5A - 13}[/tex] --- orange is thirteen less than five times apple

[tex]\mathbf{W > O}[/tex] --- the seeds in watermelon exceeds orange

Substitute expressions for W and O in [tex]\mathbf{W > O}[/tex]

[tex]\mathbf{3A - 1 > 5A - 13}[/tex]

Collect like terms

[tex]\mathbf{13- 1 > 5A - 3A}[/tex]

[tex]\mathbf{12 > 2A}[/tex]

Divide both sides by 2

[tex]\mathbf{6 > A}[/tex]

Rewrite as:

[tex]\mathbf{A < 6}[/tex]

The inequality that represents the number  of  seeds her apple could  have is [tex]\mathbf{A < 6}[/tex]

Read more about inequalitues at:

https://brainly.com/question/20383699

Express (3/5+ 3)^2
as a trinomial in simplest form.

Answers

Hey there!

Fun fact:

• MONOMIAL contains ONE term because MONO- means 1

• BINOMIAL contains TWO terms because BI- means 2

• TRINOMIAL contains THREE terms.. because TRI- means 3.

• POLYNOMINAL contains FOUR or MORE terms because POLY- means 4 or more

ANSWERING YOUR QUESTION

(3/5x + 3)^2

= (3/5x)(3/5x) + (3/5x)(3) + (3/5x)(3) + 3(3)

• 3/5x(3/5x) = 9/25x

• 3/5x(3) = 9/5x

• 3(3) = 9

= 9/25^2 + 9/5x + 9/5x + 9

• COMBINE the LIKE TERMS

= (9/25)x^2 + 18/5x + 9

Therefore, your answer is:

“9/25x^2 + 18/5x + 9”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find x

Please show your work

Answers

Answer:

I think it would be

A= 3/5

B= 7/6

Consider the following graph of a quadratic function.

Part A: How can you quickly determine the intervals with the greatest rate of change by making observations from the graph?

Part B: Which intervals have the greatest rate of change?

Part C: Which intervals have the least rate of change?

Part D: Name two intervals that have equal rates of change.​

Answers

A graph can increase or decrease at an interval or several intervals

The interval with the longest curve or line represents the greatest change.The intervals with the greatest rate of change are ab and deThe intervals with the least rate of change are bc and cdThe intervals with the equal rates of change are ab and de

Part A: How to determine the longest interval

The longest interval will have a great change in the y-values, and a small change in the x-values.

An instance of such interval is interval ab

Part B: Intervals with the greatest rate

Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.

Hence, intervals ab and de have the greatest rate of change

Part C: Intervals with the least rate

Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,

Hence, intervals ab and de have the least rate of change

Part D: Intervals with the equal rate

As said in (b) and (c),

Intervals ab and de have equal ratesIntervals bc and cd have equal rates

Read more about intervals and rates at:

https://brainly.com/question/23483858

not sure how to do this, could use some help. : )

Answers

Answer:

The GCF equal;

[tex] {x}^{3} y {z}^{2} [/tex]

I hope I helped you^_^

AM I RIGHT PLEASE HELP!!!
Calculate the slope of a line that passes through the points (6, -12) and (15,-3).

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )

m = [tex]\frac{-3-(-12)}{15-6}[/tex] = [tex]\frac{-3+12}{9}[/tex] = [tex]\frac{9}{9}[/tex] = 1

<5 , <3 , <2, or <4 ? ^^

Answers

Answer and Step-by-step explanation:

To figure out the problem, we first need to know what supplementary means. In this question, supplementary (angles) is when two angles are next to each other, and when added together, they add up to 180 degrees.

By looking at the image, we see that angle 1 is next to angles 2 and 5.

Angles 1 and 2 don't look like they will add up to 180 degrees.

Angles 1 and 5 look like they will add up to 180 degrees.

A way to find supplementary angles is by looking at lines that go straight across, with a line intersecting the middle of the line to form the supplementary angles.

#teamtrees #PAW (Plant And Water)

I hope this helps

Find the missing angle measure.

Answers

Answer:

m<a=27º

Step-by-step explanation:

a triangle is 180º total

180-90=90

90-63=27

9sin(2x) sin (x) = 9cos(x)

Answers

Answer:

[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]

A tree grew from a height of 6 feet to 15 feet. By what percent did its height increase?

Answers

Answer:

It increased by 150%

Step-by-step explanation:

Jack’s recipe calls for One-half teaspoon of baking powder. He cannot find the One-half teaspoon measuring spoon. Instead, Jack uses the One-eighth teaspoon measuring spoon to add Three-eighths teaspoon of baking powder. Which statement is true? Jack should stop adding baking powder because One-eighth equals . Jack should add more baking powder because Three-eighths is less than One-half. Jack should add more baking powder because Five-eighths is less than One-half. Jack has added too much baking powder because is greater than .

Answers

Answer:

Jack should add more

Step-by-step explanation:

Because four eighth is half

And he only added 3/8

So when he adds 1/8 more the sum becomes 4/8

4/8=1/2

(4) The volume of a cuboid shaped tank is 3600 cm?. Its height, breadth and length are three consecutive perfect squares. Find its length, breadth and height. (Write 3600 as a product of prime factors).​

Answers

Answer:

15×15×16=3600

15×15=225

225×16=3600

Two friends, Bart and Claudia, purchased concessions at a basketball game.

Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?


Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.

Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.

Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.

Drinks cost $1.00 each, and candy bars cost $0.75 each.

Answers

The Drink cost $1.75 each, and candy bars cost $0.75 each.

let

The price of a drink = x

The price of a candy bar  = y

Bart total purchase

2x + 2y = 5

Claudia total purchase

x + 4y = 4.75

The cost of each can be calculated by combining the equations. Therefore,

2x + 2y  = 5

x + 4y = 4.75

x = 4.75 - 4y

2(4.75 - 4y) + 2y = 5

9.5 - 8y + 2y = 5

9.5 - 6y = 5

-6y = -4.5

y = -4.5/-6

y = 0.75

2(0.75) + 2x  = 5

1.5 + 2x = 5

2x = 5 - 1.5

2x = 3.5

x = 3.5/2

x = 1.75

Cost of a drink = $1.75

Cost of a candy bars = $0.75

Get more information here: https://brainly.com/question/12471733?referrer=searchRes

Evaluate for b

50 = -1/3b + 20

Answers

Answer:

b= -90

Step-by-step explanation:

30= -1/3b

multiply by negative 3 on both sides to make -1/3 into 1.

-90 = b

Answer:

Solve the rational equation by combining expressions and isolating the variable bb.

Exact Form:

b= -1/90

60% of a mussems fossils are from the jurassic period if the number of fossils from the jurassic period is 15 what is the total of number of fossils ate the musuem ?

Answers

The total number of fossils at the museum are, 25

The table shows a set of values for x and y

Answers

a) Assume y = [tex]x^{2}[/tex]

[tex]1b=\frac{k}{1^{2} }[/tex] k = 1b

[tex]y=\frac{1b}{x^{2} }[/tex]

b) y = 25

[tex]x^{2}=\frac{16}{25}[/tex]

[tex]x=\sqrt{\frac{4}{5} ^{2} }[/tex]

x = ±[tex]\frac{4}{5}[/tex]

x > 0, x = 4/5

{ Equation }

y=16/x² is required equation for y in terms of x and x=4/5 when y=25.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The table of values are

x         1         2         3         4

y        16        4        16/9      1

Given that y is inversely proportional to square of x.

y=k/x²

Let us consider

y=16 and x=1

16=k/1

k=16.

y=16/x²

So y=16/x² is equation for y in terms of x

b) We need to find value of x when y=25

25=16/x²

Use cross multiplication

x²=16/25

Take square root on both sides

√x²=√16/25

x=±4/5

If x>0 , so x=4/5

Hence y=16/x² is required equation for y in terms of x and x=4/5 when y=25.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

There has been a person on here posting the same link to many answers, can you please delete their account? Thanks.

Answers

Yeah... they should.

Evaluate. 2 > 8 - 4/3h

Answers

Answer: h>9/2

Step-by-step explanation:

plz help thisnif for a grade!. The tape diagram below represents how much time you and your friend spend time studying. You study for 45 minutes how many minutes does your friend study​​

Answers

I need a better picture of the entire diagram to solve

42 points giv away PLZ ANSWER RN (5/8+3/4) divided by (-2/3 - 5/6)

Answers

Answer:

when you divide you get -11/12

if you have a calculator you could add the 5/8 and 3/4

then add the -2/3 and the -5/6

then divide the first answer by the second answer

Answer:

[tex] \frac{( \frac{5}{8} + \frac{3}{4}) }{( - \frac{ 2}{3} - \frac{5}{6} )} \\ \\ \\ \frac{( \frac{5}{8} + \frac{6}{8}) }{( - \frac{4}{6} - \frac{5}{6} ) } \\ \\ \\ \frac{ (\frac{5 + 6}{8}) }{( \frac{ - 4 - 5}{6} )} = \frac{( \frac{11}{8} )}{( - \frac{9}{6} )} \\ \\ \\ \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ \\ \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ \\ = - \frac{11}{12} \\ \\ \\ = - 0.91666[/tex]

I hope I helped you^_^

There were 110 students at a creative writing workshop last year. This year there are 132 students. What is the percent of increase in the number of students at the workshop?

Answers

Answer:

20% increase

Step-by-step explanation:

the initial number is 110 so lets take that as a 100%

the final number is 132 and it will be x

110/132=100/x

we multiply the numerator of the first fraction with the denominator of the second fraction and vice versa.

110*x=132*100

110x=13200

x=120

Then we deduct 120 by 100 to know how much the percent increase is

(120-100)%=20% :)

Which of the following numbers can be exposed as repeated decimals? 5/7 4/5 7/9 5/8

A. 7/9 and 5/8
B. 5/7 and 4/5
C. 5/7 and 7/9
D.4/5 and 5/8

Answers

Answer:

C.

Step-by-step explanation:

5/7=.714285714 and so on

7/9=.777777778 and so on

I need helppp plzz
i'll brainliest

Answers

Answer:

Step-by-step explanation:

Since B is the midpoint, AB must be equal to BC.

AB = BC

7x - 4 = 3x + 32

Isolate the variable

7x - 4 = 3x + 32

4x = 36

x = 9

Now solve for one side.

AB = 7x - 4

AB = 7(9) - 4

AB = 59

Since both sides are equal, finding AC just means multiplying one side by 2.

AC = AB * 2

AC = (59) * 2

AC = 118

You can double check by finding the other side and multiplying by 2.

BC = 3x + 32

BC = 3(9) + 32

BC = 27 + 32

BC = 59

AC = BC*2

AC = 59*2

AC = 118

Let me know if you have any questions!

Find the area I will make you Brainliest (show working)​

Answers

Answer:

Step-by-step explanation:

16 * 16 = 256

8 * 36 = 288

Add

Answer= 544 mm^2

Answer:

The answer is 544

Step-by-step explanation:

16*16=256

(8+12+16)=36

36*8=288

288+256= 544

the fraction 11 of 9 lies between ​

Answers

Answer:

1.222.......

Step-by-step explanation:

11/9=1.2222

so it is between 1&2

Employees from a local store
donated picnic supplies for the end of the
school year picnic. They donated 20 packs
of 12 forks. 10 packs of 12 spoons, 5 packs of
10 knives, and 175 paper plates. How many
picnic items were donated?

Answers

Forks :
20 x 12 = 240

Spoons:
10 x 12 = 120

Knives :
5 x 10 = 50

Paper plates :
175

Total :
175 + 50 + 120 + 240 = 585

585 picnic items were donated
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