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2 years ago

I need #1 done (show work) will give brainliest

Mathematics

1 answer:

allochka39001 [22]2 years ago

6 0

Step-by-step explanation:

Statement Reason

∠5 and ∠7 are vertical angles Vertical angles theorem

m∠5 = m∠7 Definition of vertical angles

m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given

-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality

-6x + 8 = 3x - 9 - 1 Distributive property

3x + 6x = 8 + 10 Addition property

9x = 18 Addition property

x = 18/9 Division property

x = 2 Proved

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Answer:

three multiplied by six minus one in parentheses

Step-by-step explanation:

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3 years ago

What type of equipment did police use in 1918

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Answer:

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Step-by-step explanation:

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p.s it would be cool it you would give me brainliest

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3 years ago

Please help me both a/b!

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3 years ago

Which answer shows three ways to write 2/3 as a ratio?

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3 years ago

Read 2 more answers

Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measu

Lera25 [3.4K]

Answer:

$A = 68.8 inches^{2}$

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

Triangular base area:

$A1 =\sqrt{(s * (s-a) * (s-b) * (s-c)) }$

Where, s is the semi-meter of the triangle:

$s =\frac{ (a + b + c) }{ 2}$

a, b, c: sides of the triangle.

Substituting:

s = (2 + 3 + 4) /2=4.5

$A1 = \sqrt{ (4.5 * (4.5-2) * (4.5-3) * (4.5-4))}$

A1 = 2.90

Then, you must know the area of each rectangle associated with each side of the triangular base.

Rectangle area 1: Ar1 = (a) * (l)

Ar1 = (2) * (7)

Ar1 = 14

Rectangular area 2: Ar2 = (b) * (l)

Ar2 = (3) * (7)

Ar2 = 21

Rectangular area 3: Ar3 = (a) * (l)

Ar3 = (4) * (7)

Ar3 = 28

Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

A = (14) + (21) + (28) + 2 * (2.90)

$A = 68.8 inches^{2}$

Hence the surface area of the box of chocolates is

$A = 68.8 inches^{2}$

6 0

2 years ago