I need help
a)104
b)128
c)120
d)74
e)87​

I Need Help A)104b)128c)120d)74e)87

Answers

Answer 1

Answer:

m∠JTS = 104° ⇒ (A)

Step-by-step explanation:

The measure of an exterior angle of a triangle at one of its vertices equals the sum of the measures of the opposite interior angles.

Let us use this fact to solve the question

In ΔTSR

T ∈ ray RJ

∴ ∠JTS is an exterior angle of ΔTSR

→ By using the fact above

∴ ∠TSR and ∠TRS are the opposite interior angles to ∠JTS

m∠JTS = m∠TSR + m∠TRS

∵ m∠JTS = 27x - 4

∵ m∠ TSR = 30°

∵ m∠TRS = 18x + 2

→ Substitute their values in the equation above

27x - 4 = 30 + 18x + 2

→ Add the like terms in the right side

∴ 27x - 4 = 18x + 32

→ Add 4 to both sides

∴ 27x = 18x + 36

→ Subtract 18x from both sides

∴ 9x = 36

→ Divide both sides by 9

x = 4

→ To find m∠JTS substitute x by 4 in its measure

∴ m∠JTS = 27(4) - 4 = 108 - 4

m∠JTS = 104°


Related Questions

Describe and correct the error a student made in identifying the common difference of the following sequence.
​29, 22,​ 15, 8,​ 1, ...

Answers

Given:

The sequence is 29, 22,​ 15, 8,​ 1, ...

To find:

The common difference.

Solution:

We have,

29, 22,​ 15, 8,​ 1, ...

It is an AP.

First term : [tex]a_1=29[/tex]

Second term : [tex]a_2=22[/tex]

Now,

Common difference : [tex]d=a_2-a_1[/tex]

[tex]d=22-29[/tex]

[tex]d=-7[/tex]

Therefore, the correct common difference is -7.

Note: Here calculation by student is not given, so we cannot find the error of the student.

Stuffed animals each weighing 1 over 4 pound are on a scale. The scale shows 1 1 over 2 pounds. How many stuffed animals are on the scale?

Answers

Answer:

6 stuffed animals

Step-by-step explanation:

if 1/4= 1 then 1x6= 1 1/2

Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

Find the value of f(5) y = f(x) on a graph

Answers

graphing

f ( 5 )

y =  f ( x )

Select the correct answer from each drop-down menu.
The length of arc PR is 12 centimeters and its measure is 60° on circle O.
The area of sector POR is approximately
centimeters
square centimeters, and the perimeter of sector POR is approximately

Answers

Answer: • 68.76

• 34.92

Step-by-step explanation:

edmentum answer

Can a triangle have sides with the given lengths?

2 yd, 9 yd, 10 yd

Answers

Answer: Yes

Step-by-step explanation: The sum of the length of the 2 smaller side must be greater than the biggest side (hypotneus) So yes, 9+2=11 which is greater than 10.

What are all the things dilations do in geometry?

Answers

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

A Ferris wheel at Kone Island has a diameter of 63 feet.
Which equation can be used to find its circumference, Cin feet?
diameter 63 feet

O C = 63 x II
O C = 31 x II
O C = 2 x II x 63
O C = 2 x II x 31

Answers

The circumference of the Ferris wheel is the product of the diameter and [tex]\pi[/tex]

The circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

How to determine the circumference equation

The circumference of a circle, when the diameter is given is calculated using the following equation

C = [tex]\pi[/tex]d

The diameter of the Ferris wheel is given as:

d = 63 feet.

So, we have;

C = [tex]\pi[/tex] * 63

Rewrite as:

C =63 * [tex]\pi[/tex]

Hence, the circumference equation of the Ferris wheel is C =63 * [tex]\pi[/tex]

Read more about circumference at:

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Trigonometry, I also need help with this, 66 points because why not?

Answers

Answer:

[tex]\cot(\theta)=\sqrt{2}[/tex]

[tex]\implies \dfrac{1}{\tan(\theta)}=\sqrt{2}[/tex]

[tex]\implies \tan(\theta)=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\implies \theta=35.26438968...\textdegree \pm180\textdegree n[/tex]

[tex]\implies \theta=215.26438968...\textdegree[/tex]

⇒ Opposite side to angle = 1,  Adjacent side to angle = √2

⇒ Hypotenuse = √(1² + √2²) = √3

[tex]\implies \cos(\theta)=\dfrac{A}{H}=-\dfrac{\sqrt{2}}{\sqrt{3}}=-\dfrac{\sqrt{6}}{3}[/tex]

[tex]\implies \sin(\theta)=\dfrac{O}{H}=-\dfrac{1}{\sqrt{3} }=-\dfrac{\sqrt{3}}{3 }[/tex]

[tex]\implies \tan(\theta)=\dfrac{O}{A}=\dfrac{1}{\sqrt{2}} = \dfrac{\sqrt{2}}{2}[/tex]

Triangle XYZ with vertices X(-2, 12), Y(6, 4), and Z(-6,-4): scale factor = 3/4, centered at (-2, 8)

Answers

Given that the points on triangle XYZ are, (-2, 12), (6, 4), (-6, -4), and the scale factor and center of dilation are 3/4, and (-2, 8), the coordinates of triangle X'Y'Z' are;

X'(-2, 11), Y'(4, 5), Z'(-5, -1)

How can the image of the triangle be found?

The coordinates of the vertices of the triangle are;

X(-2, 12), Y(6, 4), Z(-6, -4)

The center of dilation = (-2, 8)

The scale factor of the dilation = 3/4

The coordinates of the required image following the dilation are;

(-2 + (3/4) × ((-2 - (-2)), 8 + (3/4) × (12 - 8))

The coordinates of X' = (-2, 11)

The coordinates of Y' are found as follows; (-2 + (3/4) × ((6 - (-2)), 8 + (3/4) × (4 - 8))

The coordinates of Y' = (4, 5)

The coordinates of Z' are found as follows; (-2 + (3/4) × ((-6 - (-2)), 8 + (3/4) × (-4 - 8))

The coordinates of Z' = (-5, -1)

The coordinates of the vertices of the triangle XYZ following a dilation by a scale factor of (3/4) are;

X'(-2, 11), Y'(4, 5), Z'(-5, -1)

Learn more about dilation transformation here:

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What are the answers to number 12 and 14? Pls help!!!! 15 points :)

Answers

12. b
14. A
I hope it's right

What is the simplified form of cos ??

Answers

Answer:

[tex]\frac{\sqrt{2} }{2\\}[/tex]

Step-by-step explanation:

A triangle has a total of 180° (B is a 90° angle)

Take 180° - 90° to find the angle of A + C which equals 90°

take 90°/2 to get the angle of C which is 45°

and to check that take 45°+45°+90°= 180°

Now...

cos (C)

cos(45°) = [tex]\frac{\sqrt{2} }{2}[/tex] [Answer]

Please rate!!

Starting from the same place, Ryu walks due west and Samantha walks due east.

On the number line, 0 represents their starting point, negative values represent the distance traveled west and positive values represent the distance traveled east. All values are given in feet.

A number line ranging from minus 660 to plus 660. Tick marks are every 60 units. A point labeled Samantha is located at two tick marks to the right of zero. A point labeled Ryu is located at 8 tick marks to the left of zero.

How many feet apart are Ryu and Samantha on the number line?

Enter your answer in the box.

Answers

For Samantha, 2 tick marks east is 120 units east because 1 tick is 60 units.

For Ryu, 8 tick marks west is 480 units west because 1 tick is 60 units.

They are walking to form a line. Just add their distances from 0.

120 + 480 = 600.

--------------------------0----------------------------

Ryu: 480                         Samantha: 120

         480              +             120           =    600.

600 units, or feet.

Find the value of two numbers if their sum is 12 and their difference is four.

Answers

Answer:

8 and 4 is the answer!

x + y = 12 , x-y = 4
x= 4+ y

4+y+y=12
y = 4
x = 8

So , 4 and 8
Good Luck.

A 499
B 498
C 898
D 500

Answers

Answer:

498

Step-by-step explanation:

We will need to use the Pythagorean Theorem.

A^2 + B^2 = C^2

45^2 + B^2 = 500^2

Subtract 45^2

B^2 = 500^2 - 45^2

Simplify

B^2 = 247,975

Take square root so B is alone

B = 497.9708

Round

B = 498

An angle measures 1.2° more than the measure of its complementary angle. what is the measure of each angle?

Answers

Answer:

44.4°

Step-by-step explanation:

Two complementary angles add up to 90°. Let's call one of the two x, and the second 90-x (in fact, [tex]x+(90-x) = 90[/tex]).

At this point we can use the second condition: the first angle, plus 1.2°, is equal to the complementary.

[tex]x+1.2=90-x \rightarrow 2x=88.8 \rightarrow x = 44.4[/tex]

Explain how to find 19+6 use equations to show your thinking

Answers

Answer:

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1=25

Step-by-step explanation:

mafs

19+6

(19+1)+(6-1)    adding 1 to 1 number and subtracting 1 from the other

20+5             simplifying

25                 now it's just adding 20 + 0 + 5 = 25

This problem is a little abstract, but I hope it helped. Happy mathing!

Solve for x. .
32
Answers
(2x - 12)
X = 35
x = 51
x = 80
x = 96

Answers

Step-by-step explanation:

plug in the values of x in the function

1. 58

2. 90

3. 148

4. 180

plsss I'll mark Brainlest​

Answers

Answer:

For class A, the test scores were closer togther so that means more students most likely scored the smae score mutiple times. I think this because the box on the box plot is not spread out like class B.

For class B, the scores varied more so the box plot has to be spread out over more values. Because of the box plot, we can see that Class B had the highest test score compared to class A.

Have an amazing day!!

Please rate and mark brainliest!!


what is the constant of proportionality in the equation x/y = 2/9

Answers

Answer:

The constant of proportionality is 4.5

Step-by-step explanation:

To demonstrate the constant of proportionality, we typically use variable k. The equation can look like y/x=k or y=kx
y/x=k
9/2= 4.5

The constant of proportionality is 4.5.

To check the work, we can use the other equation, y=kx.

y=kx

y=4.5(2)

y= 9

⚠️ ⚠️⚠️⚠️PLEASE HELP ⚠️⚠️⚠️⚠️

Answers

Answer:

PLz give brainliest

Step-by-step explanation:

Y=60

x=33

Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
Help soon pls :)

Answers

Answer:

Step-by-step explanation:

Find the slope of the line between (5,5)and (1,0) using m=(y2-y1)/(x2-x1)

which is the change of y over the change of x.

m=5/4

Use the slope 5/4 and a given point (5,5) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1), which is derived from the slope equation m=(y2-y1)/(x2-x1)

y-5=5/4*(x-5)

Simplify the equation and keep it in point-slope form y-5=5/4*(x-5)

Solve for y.

y=5x/4-5/4

Reorder terms.

y=5/4 x-5/4

List the equation in different forms.

Slope-intercept form: y=5/4 x-5/4

Point-slope form: y-5=5/4*(x-5)

Select all tables that show a porportional relationship hurry pls thx

Answers

Answer:

the 4th table and the last one

Step-by-step explanation:

At a car rental office, 63% of the customers are men and 37% are women. If 25% of people request a compact car, 37% request a full-sized, 10% request a convertible,16% request an SUV, and 12% request a luxury car, what is the probability that the next customer will be a woman who requests a convertible?

Answers

Answer:

3.7%

Step-by-step explanation:

As per given

P(woman)= 37%P(convertible) = 10%

So combined probability is:

P = 37%*10% = 37%*0.1 = 3.7%

What is the result of the construction shown?
A. Angle bisector
B. Copying an angle
C. Copying a line segment
D. Perpendicular bisector

Answers

Answer:

Option C: Copying an angle

Step-by-step explanation:

Angle bisector is a line through an angle that will split that angle to 2 equal angles. Thus, option A is wrong as no angle is being split.

Copying an angle involves reproducing a particular angle in another construction. The image shows us that there is an attempt to reproduce the perpendicular angle of 90°. Thus, option B is correct.

Copying a line segment involves creating the exact size of line in another construction. The image doesn't depict that. Thus option C is wrong.

Perpendicular bisector is when we draw a perpendicular line through a horizontal one to divide it into 2 equal parts. This is not the case here. Thus, option D is wrong.

Someone pls help????????????????

Answers

Answer:

18

Step-by-step explanation:

perimeter = sum of the lengths of the sides

perimeter = 5 m + 5 m + 2 m + 5 m + 1 m

perimeter = 18 m

The answer in 18cm
Due to the math
I’ve done this before so it should be 18cm

2/5x + 4 = 1/5x + 8 what does x equal

Answers

Answer:

x=20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2/5x + 4 = 1/5x + 8

(subtract 1/5x from both sides)

1/5x + 4 = 8

(subtract 4 from sides)

1/5x = 4

(multiply by 5 from both sides of the equation to isolate x)

x = 20

1. On her birthday, Shruti bought 2 kg sweets and distributed 1 kg 500 g among her classmates. How much sweets were left with her? ​

Answers

Answer:

500g

Step-by-step explanation:

since she brought 2 kg of sweets, and distributed to her classmates, that means we wil sustract 2 from 1,5 and that will be 0.5 or 500g

I hope I helped you! :)))

Answer:

500g

Step-by-step explanation:

She initially had 2 kg and gave away 1 kg 500 to her classmates

1000 g = 1 kg

500 g   = ?

500 g = half a kilogram

So, 1kg 500g is 1.5 kg

So, to get how much sweets were left with her, we subtract 1.5 kg from 2 kg.

2 - 1.5 = 0.5 kg

So, she was left with 0.5 kg or 500g of sweets

Complete the square
[tex]2x^2+16x-7[/tex]

Answers

Hey there!

[tex]\fbox{2x²+16x-7}[/tex]

[tex]\fbox{2(x + 4)² - 39}[/tex]

Frank traveled 5.3 kilometers from work to home in 30-minutes. Which of the following values is closest to the average speed, in miles per hour?

Answers

Frank's average speed is the rate of the distance traveled and the time

Frank's average speed is 6.58 miles per hour

How to determine the average speed

The given parameters are:

Distance = 5.3 kilometers

Time = 30 minutes

The average speed is then calculated as:

Average speed = Distance/Time

Substitute known values

Average speed = 5.3km/30 minutes

Convert time to hours

Average speed = 5.3km/0.5 hour

Convert the distance to miles

Average speed = 3.29 miles/0.5 hour

Evaluate the quotient

Average speed = 6.58 miles per hour

Hence, Frank's average speed is 6.58 miles per hour

Read more about average speed at:

https://brainly.com/question/4931057

3x + 2 =x +4(x+2) solve for x

Answers

Answer:

x= -3

Step-by-step explanation:

I do not have one sorry,

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