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hjlf
2 years ago
7

What is the measure of x?​

Mathematics
1 answer:
victus00 [196]2 years ago
8 0

Answer: x = 156°

Step-by-step explanation:

So it is proven all triangles equal 180° and all straight angles are 180° so

85+71= 156

180-156=24°

but since you are trying to find x (to create the straight angle) and now know the other missing angle is 24°

180-24= 156

x=156°

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A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in
777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

<em><u>Verify each statement</u></em>

<em>A) Each pack of folders has a volume of 60 cubic inches.</em>

The statement is True

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

<em>B) The box has a volume of about 720 cubic inches</em>

The statement is True

Because

The volume of the box is equal to the volume  of one pack of folders multiplied by 12

so

V=(12)60=720\ in^{3}

<em>C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches</em>

The statement is False

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}

900\ in^{3}\neq 1,200\ in^{3}

<em>D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.</em>

The statement is True

Because

Applying proportion

\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}

1,200\ in^{3}= 1,200\ in^{3}

<em>E) Each pack of folders has a volume of 24 cubic inches.</em>

The statement is False

Because

The volume of each pack of folders is equal to

V=(5)(12)(1)=60\ in^{3}

7 0
3 years ago
Help please! any help is appreciated
maria [59]

Answer:

Step-by-step explanation:

6.

P(even)=4/8=1/2

=50 %

7.

P(8)=23/50

=46 %

5 0
2 years ago
Welp❌❌❌❌❗️⭕️welp welp
Harman [31]

Answer:

D

Step-by-step explanation:

:D

8 0
3 years ago
What’s the circumference and the area for 4 in
Paladinen [302]

Answer:

C = 25.12 , A = 50.24

Step-by-step explanation:

C = \pi d\\A = \pi r^{2}

C = 8 * 3.14 = 25.12

A = (4*4) * 3.14 = 50.24

5 0
3 years ago
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