Find the values of x and y.

Find The Values Of X And Y.

Answers

Answer 1

Answer:

x= 38

y= 71

Step-by-step explanation:

The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.

The two sides marked with a "dash" are said to be equal.

STEP I:

If we label off the triangle as ABC with AD being the extended length (containing 108°).

We'll get,

AB = AC

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

STEP II:

*Property*

"If two sides of a triangle are equal their corresponding base angles are equal too."

=> ∠BAC = ∠BCA . . . . (¡)

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

STEP III:

From the figure, ∠BCA is equal to y.

*Property*

"Two angles on a straight line sum up to 180°"

∠BAC can be found out by subtracting 109° from the straight angle (180°).

=> ∠BAC = 180 - 109

=> ∠BAC = 71°

Substituting these values in eqn. (¡):

71 = y

Hence, the value of y is 71°

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

STEP IV:

*Property*

"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."

Here,

Interior angles = x and y (= 71)Exterior Angle = 109°

=> 109 = x + 71

=> 109 - 71 = x

=> x = 38°

Hence, the value of x is 38°.


Related Questions

If Rebecca Picked 20 apples and gave away 10 and got 30 more back. How many does she have now?

Answers

40

If she picked 20 apples and gave away 10, she would have 10 apples. But if she got 30 more apples, she would have 40 apples

Hope this helps!!! If so please give brainliest

Maki~

Answer:

40 apples

Step-by-step explanation:

20 apples-10 apples+30 apples=

10 apples+30 apples=40 apples

Which answer describes the transformation of g(x)=log2(x−2)+4 from the parent function f(x)=log2x ?

a.) It is the graph of f(x) shifted 2 units left and 4 units down.

b.) It is the graph of f(x) shifted 4 units right and 2 units up.

c.) It is the graph of f(x) shifted 4 units left and 2 units down.

d.) It is the graph of f(x) shifted 2 units right and 4 units up.

Answers

Option D

for the (x-2) we move to the right 2 and for the +4 we go up 4

The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

How to determine the transformation?

The functions are given as:

Transformed function: g(x)=log(x−2)+4 Parent function f(x)=log(x)

Translate the parent function 2 units right

This gives

f'(x) = log(x - 2)

Translate the function 4 units up

This gives

f''(x) = log(x - 2) + 4

So, we have:

g(x) = f"(x)

The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

Read more about function transformation at:

https://brainly.com/question/4025726

Percentage of 75 and 80

Answers

The answer will be:-

0.75

0.80

simplify.
remove all perfect squares from inside the square roots. assume x and y are positive.
√8x^3y^2

Answers

Answer:

[tex]2xy\sqrt{2x}[/tex]

Step-by-step explanation:

Because this is a whole term in itself (no addition or subtraction), you can just directly find squares and factor them out. First, when looking at 8, you can factor out 4, to get 2 on the outside. Then, while looking at x cubed, you can factor out x squared, to get x on the outside, and when looking at y squared, you can just pull that outside itself, to get y. Now, we have one 2 and one x remaining, for a total of [tex]2xy\sqrt{2x}[/tex]

Find the surface area of the ball shown to the right

d=20

Answers

Answer:

Surface Area = 1,256 cm

Solution:

formula: Surface Area of a Sphere: 4π · r²

Surface area = 4π · r²

SA = 4(3.14) (10)²

SA =  (12.56)(100)

SA = 1,256

Eva has a points card for a movie theater. She receives 65 rewards points just for signing up. She earns 13.5 points for each visit to the movie theater. She needs at least 200 points for a free movie ticket. Use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.

Answers

Answer:

10

Step-by-step explanation:

200-65= 135

135/13.5=10

Pls helpp
1: Find the slope:

Answers

m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2

7th grade math please help

Answers

Answer:

11.8

Step-by-step explanation:

brainlest

How do you find function f for piecewise function.

Answers

Answer:

The f(x) is equal to whatever is on the right side of the piecewise functions, as long as the conditions for x are met.

Step-by-step explanation:

An example has been attached

-- Gage Millar, Algebra 1/2 tutor

in spring 2017, data was collected from a random selection of sta 2023 students. one of the question how many concerts they had attended in the past six months. for the 39 randomly selected upperclassmen, the sample mean was 2.31 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 2.29 and the sample standard deviation was 2.64. what is the point estimate of the difference in the population mean difference in number of concerts attended between underclassmen and upperclassmen?

Answers

Answer:

Step-by-step explanation:

5

According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.

What is the difference in population mean's point estimate?

The difference in sample means is a point estimate for the difference in population means.

What's the best way to respond to this query?

Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.

The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.

The difference between the sample means is a point estimate for the difference between the two population means, as we already know.

Upperclassmen sample mean - underclassmen sample mean = point estimate,

Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.

The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.

Find out more about point estimates at

brainly.com/question/14000344

#SPJ2

Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
A) 1 units
B) 2 units
C) 3 units
D) 4 units

Answers

Given that ΔPQR and ΔXYZ are congruent triangles, the measure of XY is: D) 4 units

Recall:

Congruent triangles have pairs of congruent angles and congruent sides.Distance between two vertices can be calculated using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Given ΔPQR ≅ ΔXYZ, therefore, PQ = XY.

Find the distance between P(0, 0) and Q(-4, 0) using[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]PQ = \sqrt{(-4 - 0)^2 + (0 - 0)^2}\\\\\mathbf{PQ = 4 $ units}[/tex]

Since ΔPQR ≅ ΔXYZ, therefore the measure of XY is: D) 4 units

Learn roe about congruent triangles on:

https://brainly.com/question/2938476

Answer:

4 units

Step-by-step explanation:

Please help me with this math problem

Answers

Answer:

Step-by-step explanation:

How to solve your problem

3

+

+

3

3+a+3

3+a+3

Simplify

1

Add the numbers

3

+

+

3

{\color{#c92786}{3}}+a+{\color{#c92786}{3}}

3+a+3

6

+

{\color{#c92786}{6}}+a

6+a

2

Rearrange terms

Solution

+

6

PLZ HELP ME WITH THIS ASAP

Answers

Answer: y= 9

Step-by-step explanation: x, y= 9

Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)

Answers

Answer:

y=4x-5

Step-by-step explanation:

the slope-intercept form of the line would be y = 4x - 5

hope this helps!! ❤️

in spring 2017, data was collected from a random selection of sta 2023 students. one of the questions asked how many hours they had worked in the past 24 hours. for the 39 randomly selected upperclassmen, the sample mean was 0.61 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 1.40 and the sample standard deviation was 2.65. what is the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen?

Answers

Step-by-step explanation:

Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=

When  x=3, the value of x^2-2 is?​

Answers

Answer:

7

Step-by-step explanation:

First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .

how do you tell between a linear and non-linear function?

Answers

Answer:

linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.

Step-by-step explanation:

logb(x-1) + logb(x+2) = logb(8-2x)

Answers

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work

List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54

Answers

Answer:

12, 30, 36, 48

Step-by-step explanation:

I don’t know how i’m supposed to do this it’s basically dividing a fraction with a fraction or something

Answers

It is 1.3 in decimal form

Answer:

84/63

Step-by-step explanation:

when you are dividing two fractions that is the equal of multiplying the upper one with the opposite of the one below

what is the formula for surface area of a pyramid?

what is the forumla for surface area of a square ​

Answers

for pysamid is ph+B2

hope it helps

A cinema has 3 screens

Answers

Answer:

screen 1 =200

screen 2 =125

screen 3 =175

Step-by-step explanation:

screen 1   40% of 500 =200

screen 2   25% of 500 =125

screen  3  100%-(40%+25%)

                  100%-65%

                    35%

 35% of 500 =175

screen 1 =200

screen 1   40% of 500 =200

screen 2 =125

screen 2   25% of 500 =125

screen 3 =175

screen  3  100%-(40%+25%)

                 100%-65%

                   35%

35% of 500 =175

Hope this helps!!^^

Find slope of line (I need to see if you get the same answer as me to know if it’s right)

Answers

Answer: -5

Step-by-step explanation:

Point #1:  (-4, 2)

Point #2: (-3, -3)

Slope: -5

Answer:

Slope=M=-5Full equation y=5/7x-18

Step-by-step explanation:

(-3,-3),(4,2) y=mx+b

input variables for the full equation for slope, rise/run

it rise's up 5 and runs back -1 so slope is -5

pls give all numbers

Answers

Turkey dinner has to be zero as 0/? = 0 and it would be undefined if it was ?/0

Dinner plate would be 0 as ? * 0 * ? = 0

Radish is ?^2 cake as solving for radish will get that

Cake will be 4 as turkey is 0

Since cake is 4, radish is 16

Let’s plug them in to figure it out

0 / 4 = 0 ✅
16 * 0 * 4 = 0 ✅
4 = 16 / 4 ✅
4 / 4 = 0 + 1 ✅
0 + 16 * 4 = 64

Turkey = 0
Cake = 4
Radish = 16
Dinner plate = 0
? = 64

24 is 40% of what number? Use percent equation.

Answers

Answer:

24 is 40% of 60

Step-by-step explanation:

Why are negative exponents not positive.

Answers

A positive exponent tell how many times to multiply the basement base number, and a negative exponent tells us how many times to divide the base number

change this time to 12-hour clock what is anwer

Answers

Answer:

2.Military Time 0327 is: 03:27 AM using 12-hour clock notation, 03:27 using 24-hour clock notation.

3.Military Time 0048 is: 12:48 AM using 12-hour clock notation, 00:48 using 24-hour clock notation.

5.Military Time 0600 is: 06:00 AM using 12-hour clock notation, 06:00 using 24-hour clock notation.

6.Converting 24-Hour Time to 12-Hour Time. Add 12 to the first hour of the day and include “AM.” In 24-hour time, midnight is signified as 00:00. So, for midnight hour, add 12 and the signifier “AM” to convert to 12-hour time.

1.05:29 PM using 12-hour clock notation, 17:29 using 24-hour clock notation.

4.11:58 PM using 12-hour clock notation, 23:58 using 24-hour clock notation.

7.09:44 PM using 12-hour clock notation, 21:44 using 24-hour clock notation.

8.10:48 PM using 12-hour clock notation, 22:48 using 24-hour clock notation.

9.11:55 PM using 12-hour clock notation, 23:55 using 24-hour clock notation

(I've put the question numbers according to how you've asked it in the question)

Hope you've understood ☺️

Evaluate the expression below.

​5^{0}5
0

Answers

The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.

Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?

Answers

Answer:

P = $9948.99

Step-by-step explanation:

Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034.  Find the principal amount P.

Solving A = P(1 + r)^t for P, we get:

         $13,000           $13,000

P = -------------------- = --------------- = $9948.99

      (1 + 0.034)^8         1.3067

Lauren needs to invest $9948.99 for this purpose.

Estimate 4732 divided by 13

Answers

Answer:

364

Step-by-step explanation:

13÷4732= 364

I hope it help^^

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