Write and solve an equation to find the value of x and a missing angle in the triangle below.

Write And Solve An Equation To Find The Value Of X And A Missing Angle In The Triangle Below.

Answers

Answer 1

Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°


Related Questions

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

2

Step-by-step explanation:

The scale factor is 2 because every aspect of figure a doubled.

Answer:

2

Step-by-step explanation:

Figure B is 2 times the size of figure A

You can tell by counting the squares at the lines

Find the product: (6x+5)(2x−7)

Answers

-420 is your answer
your welcome make me the brainliest!!!

Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?

Answers

Answer:

$15 for 5 cupcakes

1.2 ÷ 4 = 12 tenths ÷ 4

Answers

Answer:

Yes you're right, it does

BRAINIEST TO WHIVER RIGHT HELP

Answers

The least value is the smallest number in a set. So in this case it would be 3 since the first marker marks 3 on the box plot.

What is the solution to the equation 2(x + 3)2 = 98?

Answers

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

can someone help my lil sis again.

Answers

Answer:

282 + d

Step-by-step explanation:

Number of miles driven by Deandre for week 1 = 282 miles

Number of miles for week 2 = d

Total number of miles driven for two weeks can be expressed as:

(282 + d) miles

help will give brainliest if right

BTW the last answer choice is D. 1

Answers

i think maybe it's A. sorry if that's wrong

Solve the triangle using the Law of Sines. (Assume a = 7.1, b = 2.9, and ∠A = 70°. Round the length to one decimal place and the angles to the nearest whole number.)

Answers

Answer:

sides

a=7 (rounded)

b=3 (rounded)

c=8 (rounded)

angles

A=70

B=22.57

C=87.43

Step-by-step explanation:

a .  given

b .  given

c   = a·sin(C)/sin(A)=7.54806

A .  given

B = arcsin (b·sin(A)/a) = = 0.39393 rad = 22.57° = 22°34'13"

C = 180° - A - B = 1.52593 rad = 87.43° = 87°25'47"

A graph of is shown on the grid.


What are the zeros of f?

Answers

Answer:

no graph is provided, the zeros of f cannot be found without a graph

Step-by-step explanation:

Which expression is equivalent to
2x +3 - 3x + (-2)
A x + 5
B 12
12x - 1
x + 1
D 1 - 1

Answers

Answer:

-x + 1

Step-by-step explanation:

First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2.  Note that +(-2) = -2.

Next, combine like terms.  We get -x + 1.  

Double check to determine whether this is one of the given possible answers.

Two people start biking from the same point. One heads east at 13 ​mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 ​minutes? What is the rate at which the distance between the two people is changing after 25 ​minutes?

Answers

Answer:

[tex]22.21\ \text{mph}[/tex]

[tex]22.2\ \text{mph}[/tex]

Step-by-step explanation:

[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]

[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]

[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing

At 25 minutes

[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]

[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]

[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].

At 35 minutes

[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]

[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]

[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]

Distance between the two people is

[tex]c^2=a^2+b^2[/tex]

Differentiating with respect to time we get

[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]

Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].

Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?

Answers

i don’t understand why people are sending files for answers

Evaluate the function

Answers

Answer:

92

Step-by-step explanation:

plug -4 into the function

3(-4)²-10(-4)+4

48+40+4

92

Answer:

92

Step-by-step explanation:

f(-4)=3(-4)^2-10(-4)+4

=3(16)-10(-4)+4

=48+40+4

=92

Determine if the triangle with the given sides is acute, obtuse, or right.
7, 10, 15
Obtuse
Right
I DONT KNOW
Acute ​

Answers

Answer:

It is Acute

Step-by-step explanation:

The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)

Answers

Answer:

17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.

Answer:

The answer is 16,25

What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15

Answers

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

can someone please help me

Answers

78-27=
51/8.50=6

Answer is 6 friends

Subtract the amount of pizza from total and divide that among 8.50


The coordinates of the vertices of triangle QRS are Q (1,-2), R (1,9),
S (6,-4). What is the length, in units, of the line segment that connects
vertex Q to vertex R?

Answers

I think 1700000000000000000

Answer:

QR = 11

Step-by-step explanation:

Q and R are on a vertical line.  Therefore, QR = 9 - (-2) = 9 + 2 = 11

Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?


What is the mean and the median

Answers

Answer:

You're lucky I have the dot plot, other wise this could not be answered.

Median: 7.5

Mean: 7.5

Yes, they are both 7.5.

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Mean of Phone Bills =

[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]

A regular hexagonal prism has a base area of 84.3ft^2 and a Volume of 337.2ft^3. What is the height of the prism? ​

Answers

Answer:

Height = 4 ft

Step-by-step explanation:

Base are : 84.3 ft square

Volume : 337.2 square cuboid

Write a linear function f with f(2)=-2 and f(1)=1

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

x   y

0  4

1    1

2  -2

Going down 3 for every increase of x by 1, when x = 0, y = 4

Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation

Answers

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

Answer:

glide reflection

Step-by-step explanation:

got it right on a quiz

Which quantity makes the equation true?
x + 3x + _______ = 7x

Answers

Answer:

Step-by-step explanation:

C)  3X

Answer: C. 3x

Step-by-step explanation:

Since x and 3x both have x, you can add them together to get 4x (if there is x by itself, it really means that there is one of it, so it would be 1x.)

Then, you subtract 7x by 4x, which gives you the answer, 3x. You could also solving it by asking yourself: What number plus 4x equals 7x, which would give you 3x.

01. Apenas uma das matrizes abaixo é, ao mesmo tempo, quadrada, diagonal e identidade. Identifique-a: a[0,1,0,1]. B[1,0,0,1]. C[1,3,0,1]. D[1,1,1,1]. E[0,1,1,0]]

Answers

Responder:

b)

1 0

0 1

Explicação passo a passo:

Das opções fornecidas:

Todas as opções atendem à condição de uma matriz quadrada, pois todas têm o mesmo número de linhas e colunas (2 * 2)

Para ter uma matriz diagonal, todas as entradas fora da diagonal principal serão Zero.

Por outro lado, a matriz de identidade é um tipo especial de matriz quadrada com uma ao longo da diagonal principal.

Indo por essas condições apenas a matriz (b); atende às três condições.

Tatiana has 894 flowers. She is making bouquets with 8 flowers in each bouquet. When she is done making all of the bouquets, how many flowers will she have left over? *

Answers

Answer:

6

Step-by-step explanation:

The remainder when 8 divides 894 is 6. So, she will be left with 6 flowers.

Please look at picture

Answers

Answer and Step-by-step explanation:

1. Figure A, B, and C are Parallelograms

2. Figure A and C are Rectangles

3. Figure A is a Square

#teamtrees #PAW (Plant And Water)

Answer:

1) a, b, & c      

2) a & c

3) a & c

Step-by-step explanation:

Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.

Answers

Answer:

616 square feet

Step-by-step explanation:

Lateral surface area of a cylinder can be determined by;

Lateral surface area = 2[tex]\pi[/tex]rh

where: r is its radius, and h is its height.

Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;

Lateral surface area = 2[tex]\pi[/tex]rh

                         = 2 x [tex]\frac{22}{7}[/tex] x 2 x 14

                         = 2 x 22 x 2 x 7

                         = 616

Lateral surface area = 616 square feet

Thus, the lateral surface area of the cylinder is 616 square feet.

Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5

Answers

Answer:

3x - 5

Step-by-step explanation:

Given that f(x) = 5x - 2 and g(x) = 2x+3

f(x) - g(x) = 5x-2 - (2x+3)

Expand

f(x) - g(x)  = 5x - 2 - 2x - 3

Collect like terms

f(x) - g(x) = 5x - 2x -2-3

f(x) - g(x)  = 3x - 5

Hence the required answer is 3x - 5

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