Find the measures of the requested angles.
In the figure, ABF measures 47° and FBE measures 83. Find the measures of ABD, GBC, EBC, and DBG.

Find The Measures Of The Requested Angles.In The Figure, ABF Measures 47 And FBE Measures 83. Find The

Answers

Answer 1

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)


Related Questions

Find the perimeter of the parallelogram.

80 cm2
208 cm
63 cm
58 cm

Answers

Answer: 58cm

Step-by-step explanation: Just add all the sides of the parallelogram together. 16+16+13+13=32+26=58

Answer:

its 59 cm^^

Step-by-step explanation:

i hope i helped at all :)

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of the can (radius and height) will use the least amount of material?(Hint: The lightest can will be the can with the smallest surface area.)

Answers

Answer:

[tex]Height = 12cm[/tex]

[tex]Radius = 6cm[/tex]

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

[tex]V = 432\pi[/tex]

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

[tex]V = \pi r^2h\\[/tex]

Substitute 432π for V

[tex]432\pi = \pi r^2h[/tex]

Divide through by π

[tex]432 = r^2h[/tex]

Make h the subject:

[tex]h = \frac{432}{r^2}[/tex]

Surface Area (A) of a cylinder is calculated as thus:

[tex]A=2\pi rh+2\pi r^2[/tex]

Substitute [tex]\frac{432}{r^2}[/tex] for h in [tex]A=2\pi rh+2\pi r^2[/tex]

[tex]A=2\pi r(\frac{432}{r^2})+2\pi r^2[/tex]

[tex]A=2\pi (\frac{432}{r})+2\pi r^2[/tex]

Factorize:

[tex]A=2\pi (\frac{432}{r} + r^2)[/tex]

To minimize, we have to differentiate both sides and set [tex]A' = 0[/tex]

[tex]A'=2\pi (-\frac{432}{r^2} + 2r)[/tex]

Set [tex]A' = 0[/tex]

[tex]0=2\pi (-\frac{432}{r^2} + 2r)[/tex]

Divide through by [tex]2\pi[/tex]

[tex]0= -\frac{432}{r^2} + 2r[/tex]

[tex]\frac{432}{r^2} = 2r[/tex]

Cross Multiply

[tex]2r * r^2 = 432[/tex]

[tex]2r^3 = 432[/tex]

Divide through by 2

[tex]r^3 = 216[/tex]

Take cube roots of both sides

[tex]r = \sqrt[3]{216}[/tex]

[tex]r = 6[/tex]

Recall that:

[tex]h = \frac{432}{r^2}[/tex]

[tex]h = \frac{432}{6^2}[/tex]

[tex]h = \frac{432}{36}[/tex]

[tex]h = 12[/tex]

Hence, the dimension that requires the least amount of material is when

[tex]Height = 12cm[/tex]

[tex]Radius = 6cm[/tex]

I WILL GIVE BRAINLIEST What is the value of the expression 0.5 squared? 0.125 0.25 0.52 1

Answers

Answer:

0.25

Step-by-step explanation:

0.5x 0.5= 0.25

Answer:

On edge, its 0.25. trust me I just finished the test.

Step-by-step explanation:

Mathematics what is 5,276 divided by 8,897

Answers

Answer:

0.593009

Step-by-step explanation:

Since the number is being divided by a larger number, you are going to get a decimal.

Dose this table represent a function?

Answers

no it doesnt because it 8 is repeated and function has 1 outcome for each x

What is (2n-9)-(2.4n+4)

Answers

Answer:

 -0.4n-13

Step-by-step explanation:

Answer:

-0.4n-13

Step-by-step explanation:

What is C/a + 4 when a=2, and c= 10

Answers

Answer:

4 and 10/2 so actually 9

Step-by-step explanation:

Answer:

The answer is 9.

Step-by-step explanation:

You just need to substitute the variables, so:

10/2+4

= 9

I hope this helps!

The common multiples of 3 and 4 are: ____ And ____?

Answers

Answer:

1

Step-by-step explanation:

3: 1, 3

4: 1,2,4

So only one can work.

Hope this helps you!! :D

Answer:

1 & 12

Step-by-step explanation:

Help, if you don't know. Pls don't answer!! I need help quick!!!

Answers

(y1 - y2) / (x1 - x2) = slope

(-1 - 3) / (4 - 2)

-4 / 2

-2

Hope this helps! :)

HELP ME PLZZZZZZ PLZZZZ HURRY


Which percent is equivalent to 2 and StartFraction 5 over 6 EndFraction? 2.56% 2.8ModifyingAbove3 with bar% 256% 283.ModifyingAbove3 with bar%

Answers

Answer:

%Step-by-step explanation:

283.Modifying Above 3 with bar is the answer

Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%. What was the cost of the necklace before tax?

Answers

Answer:

8.5 or 8.50

Step-by-step explanation:

None for now

"Not putting it here"

The cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.

What is percentage increase ?

Percentage increase is the amount added to the initial value in the percentage part.

Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%.

Let the cost of the necklace before tax is x dollars. Now, the 108% of the x is $9.18. Thus,

[tex]x\times\dfrac{100+8}{100}=9.18\\x=\dfrac{9.18\times100}{108}\\x=8.5[/tex]

Hence, the cost of the necklace before tax, for which Chris paid $9.18 including the sales tax of 8% is $8.5.

Learn more about the percentage increase here;

https://brainly.com/question/2085058

Calculate the following:-
- Adult humans have 2 to the power of 5 teeth. How many teeth will you have when you become an adult?

Answers

Answer: 32

Step-by-step explanation: 2 to the power of five is just basically 2 times 2 times 2 times 2 times 2. Calculate that out, and it would be 32.

Answer:

32 teeth

Step-by-step explanation:

Roughly what percentage of water on Earth is accessible by humans for drinking 50% 90% 1% 20%

Answers

1% is accessible for human drinking.

Pls do this 10 points will mark brainliest pls I need help this is multiplying positive and negative integers

Answers

-2 11/35

Explanation

All you have to do is multiply a crossed and if there is only one negative then it will be a negative and if there are two negative than it will be a positive after you get the imporoper fraction divided the top and bottom and you will get 2 remandier 11 then you just put it like this -2 11/35

Vhich graph shows the solution of the inequality X+5 > 2?

Answers

Answer:

X>−3

Step-by-step explanation:

Subtract 5 from both sides.

X>2−5

Simplify  2-5 to  -3

ANNNNND THE ANSWER IS

X>−3

The solution is, the value of the given inequality is : X>−3.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

the given inequality is:

X+5 > 2

Subtract 5 from both sides.

X+5- 5 > 2 - 5

X>2−5

Simplify,  

2-5 =  -3

so, we get,

AND THE ANSWER IS

X>−3

Hence, The solution is, the value of the given inequality is : X>−3.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ7

Bob and Bill together earn $66. Bill earned $6 more than twice as much as
Bob. How much did each earn?

Answers

Answer:

I think its 144

Step-by-step explanation:

they both earn 66 now 66+6= 72 but it says twice as much so 72 × 2= 144

Answer: The answer is $20 and $46

Step-by-step explanation:

(6+2x)+x=66

6+3x=66

3x=60

X=20

2(20)+6= 46

Cupcakes can be placed in boxes that hold 12, 8, or 6 cakes when full. What is the least number of cupcakes a baker needs to bake so that he can package them in anyone of the three different size boxes without any remaining?

A . 144 cupcakes
b. 32 cupcakes
c. 24 cupcakes
d. 26 cupcakes

Answers

Answer:

Step-by-step explanation:

c

Answer: D

Step-by-step explanation: Don’t listen to the other guy, he’s just trying to get points

What is 50% of 16 gallons of gas

Answers

8 gallons of gas is the answer
8 gallons of gas yep

HELP ME PLEASE!!!!! Question 14

Answers

Answer:

yo this is for a quiz right

Help Anyone??
need it asap
7th grade math
tysm

Answers

Answer:

149.04

Step-by-step explanation:

after 64 percent off it is $138

then you ad 8% tax to $138

(which you can just put in a calculator)

Simplify 3(4x + 6) - 9x.

12 x + 18 - 9 x
3 x + 18
-15 x + 18
3 x + 6

Answers

Answer:

3x+18

Step-by-step explanation:

A rectangular backyard has an area of 1,728 square feet. If the width of the backyard is 48 feet, what is the length. Fill in the blank. The length of the backyard is _____ feet.

Answers

Answer:

36

Step-by-step explanation:

48x=1728

x=36

3. Ten more than a number is 28. Find the
number.

Answers

18. I hope it helps:/

Answer: 18

Step-by-step explanation: you just minus ten from twenty eight.

What does an adverb describe? *

Answers

Answer:

an adverb describes a "verb" otherwise said as a doing word

Step-by-step explanation:

an adverb is meant to describe a doing word like run which is a verb

e.g.

she ran hastily

these adverbs usually end in LY but not all of them do

Answer:

Adjectives and Verbs.

Step-by-step explanation:

Hope it helps!

The Alden Middle School girls' soccer team won 80% of its games this season.If the team won 12 games,how many games did it play? Solve the problem using at least two different methods.​

Answers

The answer fam is..... They played 15 games

10x-5=0 equation ,inverse operation,simplify,inverse operation,solution,check

Answers

Answer:

x=.5

Step-by-step explanation:

First, you need to isolate the variable term, so you have to move -5 over to the other side. Since it is subtraction on this side, you add 5 to both sides to cancel out the -5, and add it to the other side.

Now we have 10x=5. To solve for the variable, we have to divide by the number in the variable term. In this case, it is 10. 10/10 is 1, so now x is alone. We have to do the same thing on the other side. 5/10 is .5.

That's the answer! It's x=.5!

Joe has flown a total of 1,194 miles. Staci has flown 6 times as many miles as Joe.


Which equation can be used to find the number of miles Staci has flown?
A. 6 × 1,194 = m
B. 5 × 1,194 = m
C. (6 × 1,194) – 1,194 = m
D. (6 × 1,194) + 1,194 = m

Answers

Answer:

A

Step-by-step explanation:

if staci has flown 6 times as many miles as joe, you would mulitply the number of miles joe has flown by 6, or A

8 +2/3 (6x + 30) = 80

Answers

Answer:

X=13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

please help me wit this question

Answers

12/2

um belo dia abençoado

does anyone know this ?

Answers

Answer:

i = [tex]\sqrt{-1}[/tex]

Step-by-step explanation:

Answer:

is i equal to something? otherwise the answer is just 1

Step-by-step explanation:

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