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ziro4ka [17]
3 years ago
6

M∠A= 81∘; m∠B = 109∘ Are the two angles complementary, supplementary, or neither?

Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer:

neither

Step-by-step explanation:

complementary means the angles should add up to 90∘ but here in this case they add up to 190.

Supplementary means the angles add up to 180∘ but again in this case they don't.

which means the answer only has one choice.

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A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye
Svetlanka [38]

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

6 0
3 years ago
Diameter of sphere is 8cm it is beaten and drawn out to a diameter of 2 mm find length of wire
m_a_m_a [10]
<span>Diameter of the sphere = 8 cm. Therefore, the radius of the sphere = 8/2 = 4 cm Volume of the sphere = 4/3 * 22/7 * 3 * 3 * 3 cu. cm. The sphere is beaten and drawn into a wire, the wire is cylinder of the diameter = 0.2 cm Area of the base of the cylinder = pi * r2 = 22/7 * 0.2 * 0.2 sq. cm volume of the wire = pi * r2 * I = 22/7 * 0.2 * 0.2 * 1 Therefore, 22/7 * 0.2 * 0.2 * I = 4/3 * 22/7 * 4 * 4 * 4 Therefore I = 4/3 * 22/7 * 4 * 4 * 4 * 7/22 * 1/0.04 I = 256/3 * 1/0.04 I = 2113 cm</span>
4 0
4 years ago
Use related facts to determine whether the given value is a solution for each equation
solong [7]
For these questions it's asking you to substitute the value into the equation.
For example question 5 says,
26= y-9;y=35
basically it's saying if y=35, is the equation correct or not.
In this case: 26= 35 -9 is correct.
So your answer is true.
Hope this helps Xx
7 0
3 years ago
How to multiply 6 and 4/9
Margaret [11]

Answer:

2 and 2/3

Step-by-step explanation:

To multiply fractions, all you have to do is multiply the numerators by the denominators and/or simplify opposite sides.

4/9 * 6 would be 4/9 * 6/1, which equals 4/3 * 2/1. 4*2 is 8 and 3*1 is 3, so the answer would be 8/3, which simplifies to 2 2/3.

6 0
3 years ago
Please help me with this
balu736 [363]

Answer:

its 114 degrees

Step-by-step explanation:

each angle is 57 dgrees

4 0
3 years ago
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