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Yakvenalex [24]
4 years ago
14

Solve the following problems

Mathematics
1 answer:
Anna [14]4 years ago
6 0

Answer:

m<AB=49°

m<ABC=204°

m<BAC=156°

m<ACB=311°

Step by step explanation:

Given:

<em>m</em><em><</em><em>AB</em><em>=</em><em>4</em><em>9</em><em>°</em>

<em>m</em><em><</em><em>AC</em><em>=</em><em>1</em><em>0</em><em>7</em><em>°</em>

<em>Solution</em><em>:</em>

m<AB=Given

m<ABC=107°+49°=156°

360°-156°=204°

m<BAC=107°+49°=156°

m<ACB=107°+204°=311°

Hope this helps ;) ❤❤❤

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If I have 41 red mechanical pencils and each pencil has 3 pieces of lead in it. How many pieces of lead are there in all
Vaselesa [24]

Answer:

there are 123 pieces of lead in all

6 0
3 years ago
0.5 is a rational number.<br> True<br> False
velikii [3]

Answer:

true

Step-by-step explanation:

Natural numbers are numbers naturally occurring in nature like 1, 2, 3, 4, 5, 6, 7, 8, 9 . . .

Whole numbers are numbers that are whole, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . (the only difference is that there is a 0 included)

Integers include negative and positive numbers like -3, -2, -1, 0, 1, 2, 3, 4 . . .

Rational numbers are include all of the above AND anything that can be turned into a fraction, like fractions and decimals (that have an end) like 0.625, -0.5, 1, 4, 1/4, 6/15, 4.8, etc.

So in this case, yes, 0.5 is a rational number.

5 0
3 years ago
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A cone with a volume of 1350m cube is dilated by a factor of 1/3​
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Answer:

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Step-by-step explanation:

4 0
3 years ago
The second side of a triangular deck is 3 feet longer than the shortest​ side, and the third side is 3 feet shorter than twice t
Eddi Din [679]

Answer:

The length of the shortest​ side is 18 ft

The length of the second side is 21 ft

The length of the third side is 33 ft

Step-by-step explanation:

Let

x ------> the length of the shortest​ side

y -----> the length of the second side

z ----> the length of the third side

we know that

The perimeter of the deck is

P=x+y+z

P=72 ft

so

72=x+y+z ------> equation A

y=x+3 ------> equation B

z=2x-3 -----> equation C

substitute equation B and equation C in equation A and solve for x

72=x+(x+3)+(2x-3)

72=4x

x=72/4

x=18 ft

Find the value of y

y=18+3=21 ft

Find the value of z

z=2(18)-3=33 ft

therefore

The length of the shortest​ side is 18 ft

The length of the second side is 21 ft

The length of the third side is 33 ft

8 0
3 years ago
Which ordered pair is a solution to the equation: y - 3 = x+2?
inysia [295]
Let's solve for x.<span><span>y−3</span>=<span>x+2</span></span>Step 1: Flip the equation.<span><span>x+2</span>=<span>y−3

</span></span>Step 2: Add -2 to both sides.<span><span><span>x+2</span>+<span>−2</span></span>=<span><span>y−3</span>+<span>−2</span></span></span><span>x=<span>y−5

</span></span>Answer:

<span>x=<span>y−<span>5</span></span></span>
3 0
4 years ago
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