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3 years ago

Select all that justify the following statement.

2 answers:

6 0

This one 10 + x12 = 12x + 10 is <span>a) commutative - addition
And this </span>10 + x12 =10 + 12x is <span>e) commutative - multiplication

So you use them both. And they're both correct. </span>

Setler [38]3 years ago

6 0

Answer:

The statement satisfied the expression 10 + x 12 = 12x + 10 is

Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .

Step-by-step explanation:

Commutative Property

Let a, b be two numbers thus they satisfied the commutative property

i.e a + b = b + a

As given the expression.

10 + x ×12 = 12x + 10

First apply the Option (e) i.e Commutative - multiplication.

Thus expression becomes

10 + 12x = 12x + 10

Now apply the Option (a) i.e Commutative - addition.

Therefore the statement satisfied the expression 10 + x 12 = 12x + 10 is

Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .

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A mailbox that is 36 inches tall is beside a tree.The length of the mailboxes shadow is 28 inches.The length of the trees shadow

mixer [17]

Answer:

10.5 feet

Step-by-step explanation:

In this problem, we have two similar triangles:

- One consists of the mailbox, its shadow and the hypothenuse

- The other one consists of the tree, its shadow and the hypothenuse

The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:

$\frac{m}{s_m}=\frac{t}{s_t}$

where

m = 36 in is the height of the mailbox

$s_m=28 in$ is the shadow of the mailbox

t is the height of the tree

$s_t=98 in$ is the length of the shadow of the tree

Solving for t, we find the height of the tree:

$t=\frac{m\cdot s_t}{s_m}=\frac{(36)(98)}{28}=126 in$

And since

1 feet = 12 inches

The height of the tree in feet is

$t=\frac{126}{12}=10.5 ft$

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

What is the area of the figure

Semenov [28]

Answer:

Area of the figure = 36 in²

Step-by-step explanation:

Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE

Area of rectangle ABCE = Length × Width

= AB × AC

= 6 × 8

= 48 in²

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= $\frac{1}{2}(6)(4)$

= 12 in²

Now area of the composite figure = 48 - 12

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3 years ago

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