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hammer [34]
3 years ago
15

If m∠2=40°, what is the measure of ∠1 + ∠6?

Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

<h2>280°</h2>

Step-by-step explanation:

∠2 and ∠5 are the vertex angles. m∠2 = m∠5.

The same

∠1 and ∠6.

m∠1 + m∠2 + m∠5 + m∠6 = 360°

Substitute m∠2 = m∠5 = 40° and m∠1 = m∠6 = x:

x + 40° + 40° + x = 360°

2x + 80° = 360°             <em>/subtract 80° from both sides</em>

2x = 280°              <em>/divide both sides by 2</em>

x = 140°

m∠1 + m∠6 = x + x = 2x

2x = 228°

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Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t
mina [271]

Answer:

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =23

Total number of shirts finished by Laura =23

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in t hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina =2t+15

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Total number of shirts finished by Laura =3t+11

Therefore,

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So,

Valentina and Laura finished the same total number of shirts in 4 hours.

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Total number of shirts finished by Laura =3(4)+11=12+11=23

6 0
3 years ago
Select all the expressions that are equivalent to the polynomial below.
katrin2010 [14]
The answers are: D and C and A and E
because: 


B 3(x - 5) - 2(6x2 + 9x + 5)=<span><span><span>−<span>12<span>x^2</span></span></span>−<span>15x</span></span>−<span>25

</span></span>F (4x2 - 13x - 7) - (16x2 + 9x - 5)=<span><span>−<span>12<span>x2</span></span></span>−<span>22x</span></span>−<span>2

E </span>(-15x2 + 9x - 10) + (3x2 - 10x - 5)=<span><span>−<span>12<span>x^2</span></span></span>−x</span>−<span>15</span>
4 0
3 years ago
Read 2 more answers
Carbon-14 has a half-life of 5,730 years. If a sample contained 70 mg originally, how much is left after 17,190 years?
kow [346]

17,190 / 5,730 = 3. This means we must divide 70mg in half 3 times

70 / 2 = 35

35 / 2 = 17.5

17.5 / 2 = 8.75

There will be 8.75 mg left after 17,190 years.

7 0
3 years ago
What is the principal square root of -4
devlian [24]

Answer:

The principal square root of -4 is 2i.

Step-by-step explanation:

\sqrt{-4} = 2i

We have the following steps to get the answer:

Applying radical rule \sqrt{-a} =\sqrt{-1} \sqrt{a}

We get \sqrt{-4} =\sqrt{-1} \sqrt{4}

As per imaginary rule we know that \sqrt{-1}=i

= \sqrt{4} i

Now \sqrt{4} =2

Hence, the answer is 2i.

6 0
3 years ago
Find the coordinates of the midpoint of the segment given its endpoints P(-3,-7) and Q(3,-5)
stellarik [79]

Answer:

Midpoint....; (0,-6)

Step-by-step explanation:

Midpoint of the segment

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Midpoint = (0,-6)

8 0
3 years ago
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