Choose the formula for the volume of a rectangular box, V = lwh written in terms of w.

A. w=V/ lh
B. w=hl/V
C. w=V/lh
D. w=lV/h
Part B
Find the width w of a box with volume V = 120 cm3, l = 3 cm and h = 5 cm.

The similarity theorem that proves the two given triangles are similar is: B. AA similarity theorem.

Recall:

The angle-angle similarity theorem (AA) states that if two angles in one triangle are of the same measure with two corresponding angles in another triangle, both triangles are similar to each other.

In the image given:

[tex]\angle F[/tex] in [tex]\triangle ETF[/tex] is congruent to [tex]\angle U[/tex] in [tex]\triangle VTU[/tex] ([tex]\angle F = \angle U = 78[/tex])

[tex]\angle ETF = \angle VTU[/tex] (vertical angles are equal)

This implies that two angles in [tex]\triangle ETF[/tex] are congruent to two corresponding angles in [tex]\triangle VTU[/tex].

Therefore, both triangles can be proven to be similar by the angle-angle similarity theorem (AA).

Learn more about angle-angle similarity theorem (AA) here:

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Answer:

brainliest please

Step-by-step explanation:

6 dogs because 1/2 cup per dog 6 divided by 3 = 1/2 or 2

so2 dogs per cup

Answer:

(2x + 1)(3x + 5)

Step-by-step explanation:

Step-by-step explanation:

the formula to find common ratio is

r= second term/first term

The common ratio of the given the geometric sequence is -0.3

A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Given that, a geometric sequence, is -162,54,-18.6,... we need to find the common ratio,

In a standard geometric sequence, a₁, a₂, a₃, a₄, a₅..... the common ratio is given by :-

a₂ / a₁ = a₃ / a₂ .... = r

Here, r = -54/162 = -18.6/54 = -0.3

Hence, the common ratio of the given the geometric sequence is -0.3

Learn more about geometric sequence click;

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Answer:

(1,-2) and (6, 3)

Step-by-step explanation:

Hope this helps ^-^

Answer:

-2/1 3/6 or 6/3

Step-by-step explanation:

syoydsgxhxgztisigxugxyxgisy

Answer:

m = -3

Step-by-step explanation:

hope it helps you ☺️

Answer:

[tex]c = 41[/tex]

Step-by-step explanation:

[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {9}^{2} + {40}^{2} } [/tex]

[tex]c = \sqrt{81 + 1600} [/tex]

[tex]c = \sqrt{1681} [/tex]

[tex]c = 41[/tex]

Answer:

probably c=41

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

PEMDAS

Step-by-step explanation:

10+(10+(10-5)2)+6

=10+(10+5)2)+6

=10+(20+10)+6

=10+30+6

=46

Answer:

-3

Step-by-step explanation:

3 x 6 - 42/2 =

18 - 42/2 =

18 - 21 =

-3

Answer:

18-21=x

Step-by-step explanation:

18-21=x

x= -3(this is just extra)

Answer:

y-7=5(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=5(x-3)

Answer:

Step-by-step explanation:

See the drawing attached

Answer:

I cant tell if you need help with the problem, or if this is a life or death emergency.

Answer:

The area of the polynomial is 35 square unit.

Step-by-step explanation:

It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2)

From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7

The distance formula

Using the above formula we get,

The length of opposing sides are equal

Using the Pythagoras theorem, the length of diagonal WY and XZ are

Since the length of the diagonal are same, therefore the given polygon is a rectangle.

The area of a rectangle is

Where l is length and w is width.

The area of given polynomial is

Therefore the area of the polynomial is 35 square unit.

Answer:

2g+20

Step-by-step explanation:

multiply the 4 by whats in the parenthasis. and multiply the negative 2 by whats in the parenthasis. combine the like terms.

Answer:

B

Step-by-step explanation:

Answer:

A (13 units)

and E (the one you chose)

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

greetings that person is wrong the answer is always

Answer:

-24xy+2yz

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer:

Multiplication (Option A)

Step-by-step explanation: Please brainliest if correct!

Step-by-step explanation:

-75. a deposit is a 'down payment'

Answer:

C

Step-by-step explanation:

C is a reasonable awnser and makes the same outcome

Answer:

h(3) = - 1

Step-by-step explanation:

To evaluate h(3), that is x = 3 in the interval x ≥ 1 , then

h(x) = - x + 2 , thus

h(3) = - 3 + 2 = - 1

Then h(3) = - 1

Answer:

AB = 25

Step-by-step explanation:

First things first, we know that these triangles are similar. Now let's find BC using the Pythagorean Theorem. BC = [tex]5\sqrt5[/tex], this side is similar to the 5 side of the smaller triangle. That means each side of the larger triangle [tex]\sqrt5[/tex] times larger than the corresponding side on the small triangle. That means AB is [tex]\sqrt5[/tex] times larger than BC as well. So multiply BC by [tex]\sqrt5[/tex] get us the answer.

Answer:

answer is b

Step-by-step explanation: ( i think )

Answer:

Step-by-step explanation:

Answer:

13x+12

Step-by-step explanation:

27x-14x=13

+12 because there is nothing else there

Answer:

C subtract 14x from 27x

Step-by-step explanation:

hope this helps have a good rest of your day :) ❤