Each box of Fred’s Fudge is constructed from 2 triangles and 3 rectangles. What is the shape of each box?

Jason places a mirror on the ground 40 feet from the base of a tree. He walks backwards until he can see the top of the tree in

MakcuM [25]

Given that the angle of incidence is equal to the angle of reflection, we can state tha the angle formed by the eyes of Jason with the mirror is equal to the angle formeb by the top of the three with the same mirror.

Then, you can write this similarity equation:

[height of the eyes of Jason] / [distance from the poistion of Jason to the image on the mirror] = [height of the tree / distance from the mirror to the base of the tree]

6feet / 8feet = x/40feet

x = 40feet *[6/8] = 30 feet.

Answer: 30 feet.

4 0

2 years ago

Read 2 more answers

Wesley and brian have a total of 87 baseball cards. Wesley have 30 less than twice as many cards as brian. How many baseball car

d1i1m1o1n [39]

Brian has 39 cards and Wesley has 48 cards

Step-by-step explanation:

Let w be the number of cards Wesley has

and

b be the number of cards Brian has

Then

$w+b = 87\ \ \ \ Eqn\ 1\\w = 2b-30\ \ \ Eqn\ 2$

Putting w = 2b-30 in equation 1

$2b-30+b = 87\\3b = 87+30\\3b = 117$

Dividing both sides by 3

$\frac{3b}{3} = \frac{117}{3}\\b = 39$

Putting b=39 in equation 2

$w = 2(39)-30\\w = 78-30\\w = 48$

Hence,

Brian has 39 cards and Wesley has 48 cards

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

6 0

2 years ago

Which is the graph of the linear inequality 2x – 3y < 12? On a coordinate plane, a solid straight line has a positive slope a

RoseWind [281]

Answer:

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

$3y=2x-12\\ \\y=\dfrac{2}{3}x-4$

and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

$2\cdot 0-3\cdot 0=0$

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

6 0

2 years ago

Read 2 more answers

A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three int

Slav-nsk [51]

By definition we have to:
Acute triangle - It is a triangle that has all acute angles. An acute angle is one whose degree of measurement is less than 90.
Therefore, Charlene's definition is correct.
Charlene said:
triangle is a triangle whose three interior angles have measures less than 90 °
Answer:
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.

4 0

2 years ago

A new car is purchased for 20700 dollars. The value of the car depreciates at 7.25% per year. To the nearest year, how long will

kvv77 [185]

Answer: about 7 years

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers