5. If AABC = ADEF, find the measure of

Can someone explain me?

5. If AABC = ADEF, Find The Measure Of Can Someone Explain Me?

Answers

Answer 1

Answer:

Option A) angle B = 67°

Step-by-step explanation:

I'll use " [ " symbol for saying angle.

Alright so ...

since triangle ABC and triangle DEF are congruent

it means [ A = [ D

[ B = [ E

[ C = [ F

here [ A = 78° (which means [ D is also 78°)

and ..[ F = 35° (which means [ C is also 35°)

-->So now all you need to know to find [ B is to know the other two angles in the triangle. and thats where ..

you write.. [ A + [ B + [ C = 180° (angle sum property)

78° + [ B + 35° = 180°

113° + [ B = 180°

[ B = 180 - 113

= 67°

I hope that clears the concept , if you have any questions regarding it I'd love to help .


Related Questions

How much is 3/5 of 31/8 ?

Answers

Answer:

2.325

Step-by-step explanation:

i used a calculator ,i think i did it right lol

Miguel bought a shirt for $13.95, a pair of pants for $16.87, and a hat for $7.79. What was the total amount of money Miguel spent?

Answers

Answer:

they did not pay the same rate.

2 pairs for $50

50÷2=25

Miguel spent $25 on each pair of jeans

4 pairs for $90

90÷4=22.5

Han spent $22.50 on each pair of jeans

Therefore these two did not pay the same rate.

Step-by-step explanation:

Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)

Answer:

38.61

Step-by-step explanation:

Each value added to gether to achieve your final value

convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32

Answers

Answer:

59

9/5(15)+32 =59

Step-by-step explanation:

How to cross multiply for sin

Answers

Answer:

What do you mean sin?

Step-by-step explanation:

Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.

Answers

Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.

Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.

One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.

The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:

[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]

So, the ratio of bigger triangle and smaller triangle is 4:1.

With that ratio and suppose length is represented as L:

[tex]\frac{L}{33} =4[/tex]

L = 132

The length of the lake is 132m.

Thus, the answer for this question is

1) The similarity of the triangles is proved by SSS similarty;

2) Ratio of proportion is 4:1;

3) Length of the lake is 132m;

Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?

-1 1/8, -3/4, -1/2, 3/8

-1/2, -3/4, 1 1/8, 3/8

3/8, 1 1/8, -3/4 , -1/2​

Answers

Answer:

the first one

Step-by-step explanation:

because the negative number is the least, and the positive is the greatest

A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.

Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)

Part B: At time t, at what rate is the height of the dough decreasing with respect to time?

Answers

Answer:

a) dA/dt = 125,42 mm/min

b) dh/dt = - 1,78 mm/min

Step-by-step explanation:

The volume of the cylinder is:

V(c) = π*r²*h         ( r and h radius of the base and heigh respectively )

Then the surface area is: Area of the base : π*r²

Plus lateral area :  h*2*π*r

A(c) =  π*r² + 2*π*r*h

With the help of differentials we obtain:

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt        (1)

In this equation and at time t we know:

r = 18 mm        dr/dt = 2 mm/min      h = 8 mm    dh/dt = ??  

dA/dt = increasing rate of the surface area ( with respect to time)

To find dh/dt we know:

V(c) is constant, then

V(c) = π*r²*h     then   h = V(c) / π*r²

dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴

By subtitution of V(c)

dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴

dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴

dh/dt = - [2*h* dr/dt ] / r

dh/dt =  -  2*8*2 / 18    mm/min

dh/dt = - 1,78 mm/min

By subtitution in equation (1)

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt

dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )

dA/dt = 226,20 + 100,53 - 201,31

dA/dt = 125,42 mm/min

Following are solutions to the given points:

Formula:

Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]

[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]

Part A:  

Calculating the circular area of the surface:

[tex]\to A=\pi r^2\\\\[/tex]

So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]

Therefore

[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]

Part B:

[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]

Learn more:

brainly.com/question/19667963

one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm​

Answers

Answer:

[tex]Area = 968000cm^2[/tex]

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

[tex]Length = 12.8m[/tex]

[tex]Breadth = 850cm[/tex]

For the bed, we have:

[tex]Length = 300cm[/tex]

[tex]Breadth = 400cm[/tex]

First, we calculate the surface area of the room.

[tex]A_1 = 12.8m * 850cm[/tex]

Convert all units to cm

[tex]A_1= 12.8*100cm * 850cm[/tex]

[tex]A_1= 1 088 000 cm^2[/tex]

Next, we calculate the area of the bed

[tex]A_2 = 300cm * 400cm[/tex]

[tex]A_2 = 120000cm^2[/tex]

The area of the space left  is the difference between A1 and A2

[tex]Area = A_1 - A_2[/tex]

[tex]Area = 1088000cm^2 - 120000cm^2[/tex]

[tex]Area = 968000cm^2[/tex]


Please help geometry

Answers

They are not congruent

solve the solution of the equations 10x-3y=3 and 2x+y=9

Answers

Answer:

x=1.875   y=-0.875

Step-by-step explanation:

10x-3y=3                     10x-3y=3

3(2x+y)=(9)3                +6x+3y=27

                               1/16(16x)=(30)1/16  = x=1.875

   10x-3y=3                  10x-3y=3

 -5(2x+y)=(9)-5           -10x-5y=4                          

                                    1/-8(-8y)=(7)1/-8 = y=-0.875

At the farmer's market,
eight peaches (x) plus
three cantaloupe (y) cost
$63. Two peaches plus
three cantaloupe cost $27.
How much does each fruit
costo

Answers

Answer:

Cantaloupe = $6, peach=$5

Step-by-step explanation:

[tex]8x+3y=63\\2x+3y=27\\[/tex]

Subtract the first one from the second one

[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]

Plug in:

[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]

Hope this helps plz hit the crown :D

I needddddddddd helppppppppp

Answers

Answer:

[tex]\frac{2}{-3}[/tex]

Step-by-step explanation:

To find the slope you only need two points from the table, and the equation [tex]\frac{y1-y2}{x1-x2}[/tex]

(1,-2) (4,-4)

[tex]\frac{-2+4}{1-4}[/tex] = [tex]\frac{2}{-3}[/tex]

Does anyone know the answer?

Answers

Answer:

the last one

Step-by-step explanation:

The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence

Answers

Answer:

Step-by-step explanation:

Answer: 1. heading and subheading

2. subheading

3. point-by-point

Step-by-step explanation:

What is the value of the expression when a = 5, b = 4 , and c = 6?⁢

4a/2b−c


2

5

9

10

Answers

Step-by-step explanation:

9 +6=15-6=9

so your answer should be 9

mark me brainliest lol

Answer:

now you can say as brainliest to other person :)

which of these is not a linear graph.​

Answers

Answer:

D

Step-by-step explanation:

It isn't linear

Answer:

D)

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you

The sum of three consecutive numbers is 84. What is the largest of these numbers? (1 point)

26
27
28
29

WILL GIVE BRAINLEST!!!!!!

Answers

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

Somebody help me quick

Answers

Answer: I know D it’s 18.6

It is b because formula is equal to the b

which shape has sides that are straight and connected?

Answers

Answer:

The first shape

Step-by-step explanation:

should be the top left one

Please help me with ptomblem

Answers

Answer:

When [tex] p^2 - 4p [/tex] is subtracted from [tex] p^2 + p - 6 [/tex], the result is [tex] 5p - 6 [/tex]. To get [tex] p - 9 [/tex], subtract [tex] 4p + 3 [/tex] from the result.

Step-by-step explanation:

✔️Subtracting [tex] p^2 - 4p [/tex] from [tex] p^2 + p - 6 [/tex]:

[tex] (p^2 + p - 6) - (p^2 - 4p) [/tex]

[tex] p^2 + p - 6 - p^2 + 4p [/tex] (Distributive property)

Collect like terms

[tex] p^2 - p^2 + p + 4p - 6 [/tex]

[tex] 5p - 6 [/tex]

✔️Subtracting [tex] p - 9 [/tex] from [tex] 5p - 6 [/tex]:

[tex] (5p - 6) - (p - 9) [/tex]

[tex] 5p - 6 - p + 9 [/tex] (distributive property)

Add like terms

[tex] 4p + 3 [/tex]

A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume

Answers

Answer:

[tex]890.75m^3[/tex]

Step-by-step explanation:

Step one:

given data

heigth/depth = 3.5m

radius= 9m

Step two:

The shape is that of a cylinder

Hence the volume of the pool is

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

substitute

[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]

PLEASE HELP ME !!!
:(

Answers

Answer:

Step-by-step explanation:

G is the incenter of ΔABC,

Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.

10). m∠ABG = m∠CBG = 25°

11). m∠BCG = m∠ACG = 18°

  Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°

12). m∠ABC + m∠BAC + m∠ACB = 180°

  2(25)° + m∠BAC + 36° = 180°

    m∠BAC = 180° - 86° = 94°

13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°

14). Since, incenter is equidistant from all sides of the triangle,

     Therefore, DG = GF = FE = 4 units

15). In right triangle BEG,

     tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]

     BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]

           = [tex]\frac{4}{\text{tan}25}[/tex]

     BE = 8.6

16). In right triangle BEG,

     cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]

     BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4

17). In right triangle GEC,

    sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]

    GC =  [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9

1/3 + a = 5/4
A=? ..........................................................

Answers

11/12 I’m pretty sure

Bouncing Baby Company sells their cribs for the following amounts to stores:

Number of Cribs Price
10 $1320
50 $6600

Which of the following statements about the price of the cribs are true if the price remains proportional to the number of cribs? Select TWO that apply.

A
6 cribs cost $660
B
22 cribs cost $2640
C
40 cribs cost $5280
D
55 cribs cost $7920
E
80 cribs cost $10,560
F
250 cribs cost $11

Answers

Answer:

C and E

Step-by-step explanation:

Ik u prolly dont care about the explanation but ill just say it

the ratio is 1:132 or 1 crib is $132. So 40 x 132 = 5280 and 80 x 132 = 10560

For the test im doing the answer is C and D  yw ;D

There are 32 females cast in the school play. The ratio of male roles is 3:8. How many males are cast in the school play

Answers

there would be 12 males

What’s the answer to the problem Help me

Answers

250,000 sheets of paper

Answer:

$2000 can get 250000 sheets of papers

Step-by-step explanation:

[tex]500/4=125[/tex]

[tex]125*2000=250000[/tex]

please help UwU
if correct you get Brainiest

Answers

Answer: C

Step-by-step explanation:

Always choose c When in doubt

Identify the pattern rule for this sequence

Answers

Answer:

it should be c

Step-by-step explanation:

What is the solution to this system of equations y=x-2 y=-0.5x+4

Answers

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?

Answers

Answer:

x = 32.20 !!

Step-by-step explanation:

Basically what your going to do is 12.80/320 = x/320

320x = 830 * 12.80

Sooooo X=32.20

Hop this helped

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