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Lelechka [254]
3 years ago
6

What is m∠M ? Brainliest to correct answer <3

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Sum of interior angles of triangle = 180

x + x + 6 + 3x - 16 = 180

5x - 10 = 180

5x = 190

x = 38

<M = 3(38) - 16

<M = 114 - 16

<M = 98°

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Bottles of sparkling water usually cost $1.69 each. This week they are in sale for 4 for $5. You bought one last week and one th
Phantasy [73]

Answer:

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

We pay $0.44 less this week.

Step-by-step explanation:

Given,

Cost of 1 sparkling bottle last week = $1.69

This week cost of 4 bottles is $5.

So we have to find the cost of 1 bottle.

For this we use the unitary method, we get the cost of 1 bottle;

Cost of 1 sparkling bottle this week = \frac{5}{4}=\$1.25

The cost of 1 sparkling bottle in this week is less than last week, so we pay less this week.

For finding how much we pay less this week, we have to subtract cost of 1 sparkling bottle this week from cost of 1 sparkling bottle last week.

Framing the above sentence in equation form, we get;

Amount\ of\ money\ we\ pay\ less=1.69-1.25=\$0.44

Hence we pay $0.44 less this week.

8 0
3 years ago
Find the first derivative?
professor190 [17]
You could do the question the way it is  written, but it is far easier to bring the negative power up to the numerator.

y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0

If you are a purist and want to solve the question the way it is written, you could do it this way.

dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
             ======================                    
                          (x^-2)^2

dy/dx =  - (-2 x^ - 3) / x^-4

dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
8 0
3 years ago
A cylinder and a cone both have radius of 6". The height of the cone is 12". The height of the cylinder is 6". Which has the gre
Shkiper50 [21]

Answer:

cylinder has greatest volume

Step-by-step explanation:

solution

given,

radius of cylinder(r)=6cm

height of cylinder (h)=6cm

we know,

volume of cylinder=πr^2h

=22÷7×6×6×6

=4752÷7

=678.857cm^3

radius of cone(r)=6cm

height of cone(h)=12cm

we know,

volume of cone=1÷3πr^3

= 1÷3×22÷7×6×6×6

= 4752÷21

=226.2857cm^3

as a result,cylinder has greatest volume

4 0
2 years ago
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

Then by SAS Congruence:

\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
2 years ago
Read 2 more answers
4 more than 4 times x is 45
balu736 [363]
4 more than 4 times x is 45 the answer will be x=41/4
3 0
3 years ago
Read 2 more answers
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