In the diagram below

In The Diagram Below

Answers

Answer 1

Answer:

m∠A = 39°

Step-by-step explanation:

From the figure attached,

BE ≅ BC

m∠C = 32°

m∠BFD = 103°

In ΔBCE,

m∠E = m∠C = 32°  [Since, BE ≅ BC]

m∠E + ∠C + m∠EBC = 180°

32° + 32° + m∠EBC = 180°

m∠EBC = 116°

m∠EBC + m∠EBA = 180° [Linear pair of angles]

116° + m∠EBA = 180°

m∠EBA = 64°

Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]

m∠AFB + 103° = 180°

m∠AFB = 77°

Now in ΔAFB,

m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]

m∠A + 77° + 64° = 180°

m∠A = 39°


Related Questions

1890s was rounded to the nearest 10 what is the upper bound ​

Answers

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher
friends at school
She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie.
If she wants each container to have the greatest number of cookies possible, how many plastic containers does she
need?

Answers

Answer: 16 containers?

Step-by-step explanation:

Number of oatmeal cookies with Kiara = 30

Number of chocolate chips cookies with Kiara = 48

To find the greatest number of container neded so that there are equal amount of each cookies in each , we have to find the HCF of 30 and 48 .

Factors of 32 = 1 , 2 , 4 , 6 , 8 , 16 and 32

Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 and 48

Common and highest among these factors = 16

Which means 16 is the HCF of 32 and 48 .

∴ Kiara will need 16 plastic containers .

A student solved the equation below using the steps shown, rounding to two decimal places if necessary.

which step contains the first mistake ?

A. step 2

B. step 1

C. step 3

D. step 4

Answers

Answer:

Step 1

Step-by-step explanation:

find the value of x (PLEASE HELP THIS IS a 40 point question)

Answers

Answer:

x=40°

Step-by-step explanation:

We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.

One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.

The sum of the measures of angles R, S, and T is 180°:

[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]

Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:

2x-10+x+2x-10 =180

Simplifying:

5x=180+20

Solving:

x=200/5

x=40°

Please answer quickly!

Find the equation of the line.

Y=__x + __

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

Using slope intercept form: y = mx + b

where m is the slope(rise over run/change in y over change in x), and b is the y intercept(point where x is 0). We can derive the equation by simply using our mathmatical principles of slope and y intercept. Because our y intercept is where x is 0. Our y intercept is 3 since x is 0 when y is 3 because it touches the axis. Since y is 6 when x is one.

y = mx + b

6 = m(1) + 3

-3 -3

_________

3 = m

_________

m = 3

_________

An m of 3 means that you rise 3 every 1 run or 3y every 1x.

Therefore, our equation in slope intercept is:

y = 3x + 3

Determine the distance from point (2,4) to (4,-2) Plz help asap

Answers

Answer:

Step-by-step explanation:

Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?

A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6

Answers

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.

Answers

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

Answer:

The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.

Step-by-step explanation:

I’m not very great a math and I’m a bit rush so yeah

Answers

Answer:

y=1/10x -9

Step-by-step explanation:

slope intercept formula -  y=mx+b

1/10 x i apologize if the answer is wrong but i hope this helped!

What is the solution of the equation x2=64

Answers

The answer for the equation is x=32

Carta and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost sa5 and was on sale for 20% off the original price. Which suitcase was the bra? A Carta because her sutase cot $11 25 2. Daniel because his suitcase cot $17. Can cause decor, ST12 D. Dariel because ts sutcace was docoumed by S17

Answers

Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

Cost Price of Carla's suitcase = $75

        Discount% for Carla = 19%

        The amount paid by Carla is,

        [tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]

        So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

        Discount% for Jeana = 20%

        The amount paid by Jeana is,

        [tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]

        So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Please help me solve this problem!! I WILL GIVE YOU BRAINLIEST!
(Algebra 1)
m≥5m-4

Answers

Answer:

m≤1

Step-by-step explanation:

Move the variable to the left,

m-5m≥-4

Collect like terms so you would have,

-4m≥-4

Then divide and switch the sign because you divided,

m≤1

An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.

Answers

Answer:

Step-by-step explanation:

Given the equation y = 2,5x

y is the height of the water

x is the time.

To get the range of values of the height at t = 60s, we will substitute x = 60 into the function

y = 2.5(60)

y = 150 in

Hence the range of the situation is [0, 150].

The domain will be all positive integers i.e xEZ

From 9:00 p.m. to 6:00 a.m., the temperature dropped 1.6 degrees Fahrenheit per hour.



What was the total change in temperature, in degrees Fahrenheit, between 9:00 p.m. and 6:00 a.m.?

Answers

Answer: help plz

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Chips are $1.49 a bag. They are 27% off. What is the new price?
A. $1.09
B. $3.20
C. $87.25

Answers

Answer:

A

Step-by-step explanation:

you do 1.49 x 0.79 to find the remaining amount after the discount and it is 1.09

GEOMETRY/EASY PROBABILITY, urgent!

Answers

Answer:

2/7, 3/7

Step-by-step explanation:

Total outcomes=7

No. 6 outcomes=2

P(E)= Favourable outcomes/total outcomes

    =2/7

Total even no.= 3

∴ P(E)= 3/7

Mark me as brainliest

A train traveled at a constant speed
for six hours and traveled a distance of
408 miles. What is the best estimate
of the number of miles the train could
travel in 2.5 hours?

Answers

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?

Answers

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

show work .-12.4+9.2

Answers

Answer: -12.4 + 9.2 = -3.2

4-2=2

9-12=3

Step-by-step explanation: An easy way that I've found is to just subtract the smaller digits (9.2) from the larger digits (12.4) and make the answer a negative.

Answer:

-3.2

Step-by-step explanation:

This is the longer explanation.

-12.4+9.2 let's start with the tenth values.

On a number line, when you're adding a positive number to a negative number you go up. -.4+.2 would be -.2, but if that's too difficult imagine if it was tens place meaning -4+2 which would equal 2 but the difference is you have to add the decimal in this problem. So the answer is -.2.

Now, we are adding 9 to -12. On a number line, think of it as being positioned at -12 and having to go up 9 times because remember when you're adding a positive number to a negative number you go up. When you go up the number line 9 times you stop at -3. When you go back down subtracting 9, you'll be placed at -12. So our answer is -3.

-3.0+-.2= -3.2. When you add -.2 to -3 you end up with -3.2. Line it up as a typical addition problem if you need to.

A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures

Answers

Answer:

Step-by-step explanation:

OB = 10 cm

OA = OC = Radius = 4 cm

COS <AB = OA/OB = 4/10 = 2/5 =

COS< COB = OC/OB = 4/10 = 2/5

=> <AOC = <AOB + <COB

=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)

=> <AOC = 2 Cos-¹(2/5)

=> <AOC = 2 * 66.42

=> <AOC = 132.84°

if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm

if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm

show how the point at (4,5) on the graph of f(x) translates for f(x-2)+7​

Answers

Answer:

The point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Step-by-step explanation:

Function of graph : f(x)

Rule : f(x)→f(x-c)

When the graph shifts to right by c units

Coordinates (x,y)→(x+c,y)

Rule : f(x)→f(x)+c

When the graph shifts up by c units

Coordinates (x,y)→(x,y+c)

So, Graph f(x-2)+7

Now given graph f(x)

Shift this right by 2 units and then shift up by 7 units

So, f(x)→ f(x-2)+7

Now , Translation of point(4,5)

Using rule :

When shift by 2 units right

(4,5) →(4+2,5)=(6,5)

Now  shift up by 7 units

(6,5) →(6,5+7)=(6,12)

So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

find the area of the equilateral triangle.if its perimeter is 24cm​

Answers

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

Aight bois this can be worth a brainliest so y’all better help me out

Answers

Answer:

The differences between a physical change and a chemical change are as follows :

Physical change is a temporary and usually reversible change in which no new substances are formed whereas Chemical change is a permanent and it is usually an irreversible change in which new substances with different properties are formed. In physical change, the chemical composition of the substance remains the same but only the physical properties like state , colour , speed , motion , shape , size etc are changed whereas In chemical change , the physical properties , the chemical properties and the chemical composition of the substances are changed.Physical change is a reversible change as it occurs in forward as well as backward directions whereas chemical change is an irreversible change as it cannot be reversed back from products to reactants.Some of the examples of physical change are glowing of an electric bulb , magnetising an iron nail , preparing a solution , changing of ice into water and water vapour etc. Some of the examples of chemical change are changing milk into curd , rusting of iron , burning magnesium ribbon , decaying grasses , cooking rice etc.

Hope I helped!

Best regards ! :D

~[tex] \text{TheAnimeGirl}[/tex]

Help pls idk how to do this idk if i will set it up right

Answers

Answer:

3(-10.5)

Step-by-step explanation:

Answer:

3(-10.5)

Step-by-step explanation:

Use the Distributive Property to simplify 17(2b + 3)​

Answers

the answer is 34b + 51

Answer:

34b+51

Step-by-step explanation:

When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...

17(2b+3)​

34b+51

Because you can't tell what x is, this is the most simplifying you can do.

Hopefully this helped you out...have an amazing day :3

Will hand out brainliest to the best answer! (+100 pts)

Answers

Answer:

6

Step-by-step explanation:

If the x is 2 in f(x) the answer should be 6 according to your table.

Answer:

6

Step-by-step explanation:

if the X is to in f(x) answerr will be 6 according to your table

5y-30=-5y+30 and also can you show the steps :}

Answers

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!

Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1

Answers

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?

Answers

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

Answer:

6 feet

Step-by-step explanation:

[tex]\frac{height of object}{length of shadow}[/tex]

Let the hight of the soldier be x

[tex]\frac{24}{9}[/tex] = [tex]\frac{x}{2.25}[/tex]

x = (24×2.25)/9 = 6ft

3-4 what is the answer I am dumb plz helq

Answers

Answer:

Its -1. Do not call yourself dumb, though, negatives are the easiest subject

Step-by-step explanation:

loll it’s -1 ! don’t worry you’re not stupid
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