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Savatey [412]
3 years ago
5

this figure shows a right prism with a trapezoidal base, what is the sum of the areas of the four lateral (rectangular) faces of

the prism in cubic centimeters unit?​

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Step-by-step explanation:

the answer is 54 cm

plzzzz mark me brainliest

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Which of the following is a solution to the following system of inequalities?
iren2701 [21]

Option D: (0,3) is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $y

Thus, we have,

Option A: (1,-1)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-1>0 is not true.

$y\leq 2 x+3 \implies -1\leq 5 is true.

Since, only one equation satisfies the condition, the coordinate (1,-1) is not a solution.

Hence, Option A is not the correct answer.

Option B: (-4,0)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies0>5 is not true.

$y\leq 2 x+3 \implies 0\leq -5 is not true.

Since, both the equations does not satisfy the condition, the coordinate (-4,0) is not a solution.

Hence, Option B is not the correct answer.

Option C: (3,-2)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-2>-2 is not true.

$y\leq 2 x+3 \implies -2\leq 9 is true.

Since, only one equation satisfies the condition, the coordinate (3,-2) is not a solution.

Hence, Option C is not the correct answer.

Option D: (0,3)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies3>1 is true.

$y\leq 2 x+3 \implies 3\leq 3 is true.

Since, both equation satisfies the condition, the coordinate (0,3) is a solution.

Hence, Option D is the correct answer.

4 0
3 years ago
Find the measure of each angle. ∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.
krek1111 [17]

Answer:

∠EFG=(3× 11.2+17)º = 50.6°

∠LMN= (12×11.2−5)º = 129.4°

Step-by-step explanation:

We know that if two angles are supplementary two each other sum of these two angles is equal to 180°.

It is given that  ∠EFG and ∠LMN are supplementary angles.

Therefore,  ∠EFG +∠LMN = 180°

Given that: ∠EFG=(3x+17)º and ∠LMN=(12x−5)º

⇒ (3x+17)º  + (12x−5)º =180°

⇒ (15x+12)° = 180°

⇒15x = 168°

⇒ x = 168°/15

x =  11.2°

Then, ∠EFG=(3× 11.2+17)º = 50.6°

Also, ∠LMN= (12×11.2−5)º = 129.4°

5 0
3 years ago
V -10= -9<br> v= _____<br><br> explain how you do it.
sashaice [31]

Answer:

v = 1

Step-by-step explanation:

v -10= -9

Add 10 to each side

v -10+10= -9+10

v = 1

6 0
3 years ago
a bookshelf holds 4 different biographies and 5 different novels. How many ways can one book of each type be selected?
Mandarinka [93]
Try 4!5! = 24*120 = 2880 different ways
8 0
4 years ago
You have a box of 50 cookies. 18% of them are sugar cookies. How many cookies in the box are not sugar cookies?
Andrei [34K]

Answer:

41 cookies in the box are not sugar cookies

Step-by-step explanation:

First, find what percentage of the total cookies <u>aren't</u> sugar cookies. If 18% are, then the amount that aren't is:

100% - 18% = 82%

Since 82% of the cookies aren't sugar cookies, multiply 82% by 50 to find the amount of cookies that aren't sugar cookies:

50 * 82% = 41

5 0
3 years ago
Read 2 more answers
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