mrs cindy had2/3 of a cake .she divided the cake equally among her 3 children. what fraction of the cake did each children get?

Round off 4252 to one significant figure

Angelina_Jolie [31]

The answer is 4000 because in sig fig, you don't count the zeros after the number unless there is a decimal after 0.

3 0

3 years ago

46°

Lapatulllka [165]

Answer:

m ∠D = 29°

m ∠T = 105°

Step-by-step explanation:

Given: ΔSTU and ΔDEF

To find: m ∠D and m ∠T

Solution:

According to SSS similarity criteria,

two triangles are said to be similar if their corresponding sides are proportional.

In ΔSTU and ΔDEF,

$\frac{ST}{DE}=\frac{15}{6}=\frac{5}{2} \\\\\frac{TU}{EF}=\frac{10}{4}=\frac{5}{2}\\\\\frac{SU}{DF}=\frac{20}{8}=\frac{5}{2}$

So,

$\frac{ST}{DE}=\frac{TU}{EF}=\frac{SU}{DF}=\frac{5}{2}$

Therefore,

ΔSTU ≈ ΔDEF

If two triangles are similar then measure of their corresponding angles are equal.

m ∠D = m ∠S = 29°

m ∠U = m ∠F = 46°

In ΔSTU,

m ∠S + m ∠T + m ∠U = 180°

29° + m ∠T + 46° = 180°

75° + m ∠T = 180°

m ∠T = 180° - 75° = 105°

(According to angle sum property of a triangle, sum of measures of angles of a triangle is equal to 180°)

5 0

3 years ago

PLEASE HELP ASAP!! Will give brainliest if you explain!

Rashid [163]

Rule for reflection over the y - axis,

( x , y ) ==> ( - x , y )

Rule for reflection over the x - axis,

( x , y ) ==> ( x , - y )

~~
Reflection over the y - axis,

A = ( 2 , 3 ) ==> A' ( - 2 , 3 )

B = ( 4 , 1 ) ==> B' ( - 4 , 1 )

C = ( 6 , 2 ) ==> C' ( - 6 , 2 )

D = ( 3 , 5 ) ==> D' ( - 3 , 5 )

Reflection over the x - axis,

A' ( - 2 , 3 ) ==> A'' ( - 2 , - 3 )

B' ( - 4 , 1 ) ==> B'' ( - 4 , - 1 )

C' ( - 6 , 2 ) ==> C'' ( - 6 , - 2 )

D' ( - 3 , 5 ) ==> D'' ( - 3 , - 5 )

~~

Another way to solve,

Reflection over the y - axis : Count the units away from the y - axis and then move that same amount pass the y - axis to reflect over the y - axis.

Reflection over the x - axis : Do the same for the x - axis yet count the units away from the x - axis and go that amount pass the x - axis.

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

6 0

3 years ago

Consider the equation.

Nikolay [14]

Answer:

$y= \frac{1}{2}x+3$

Step-by-step explanation:

Rearrange equation to isolate y variable.

$16y=8x+14$

Divide by 16 on both sides.

$y=\frac{1}{2} x+7$ .

To make the line parallel to the given equation and pass through (3,0),

we will move the y intercept to 3.

$y= \frac{1}{2}x+3$

4 0

3 years ago

I am confused on what the reasons are.

Burka [1]

Answer:

1) Angle AOC + Angle COB = Angle AOB

Angle AOC = X

Angle COB = Y

putting in equation, we get

X + Y = AOB

2) Angle X + Y = AOB (proved above)

AOB = 90° ( given)

Angle X + Angle y = 90°

Angle X is the complement of Y

8 0

3 years ago