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Georgia [21]
3 years ago
14

Help if you can. Thank You.

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

Given:- Δ ABC

AC~is~exteuded ~through ~C~to ~D

BC~is ~drawn ~to ~AC

Using ~Triangles~Exterior~angle~theorm,

1) =∠3+∠4 and ∠4=∠5+∠6

∠7=∠3+∠2

So, only D) m∠7=m∠3+m∠2 is correct

<u>---------------------------</u>

<u>hope it helps..</u>

<u>have a great day!!</u>

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The diameter of a cylindrical construction pipe is 3 ft. If the pipe is 14 ft long, what is its volume?Use the value 3.14 for n,
olga nikolaevna [1]

The formula for calculating the volume of a cylinder is expressed as

Volume = pi x radius^2 x height

From the information given,

diameter = 3

radius = diameter/2 = 3/2 = 1.5

height = 14

pi = 3.14

By substituting these values into the formula, we have

Volume = 3.14 x 1.5^2 x 14 = 98.91

Rounding to the nearest whole number,

Volume = 99 ft^3

7 0
1 year ago
If TS is a midsegment of PQR find TS
scZoUnD [109]

Answer:

B. 7

Step-by-step explanation:

Recall: according to thee Mid-segment Theorem of a triangle, the Mid-segment of a triangle is half the length of the base of the triangle

Base length of the traingle, RQ = 14 (given)

Mid-segment = TS

Therefore,

TS = ½(RQ)

Plug in the value

TS = ½(14)

TS = 7

4 0
2 years ago
Alma is going to Europe and wants to exchange $1,200 into euros. If each dollar is 0.75 euros, how many euros will alma get?
sveticcg [70]

Answer:

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Step-by-step explanation:

Data :

   $  = 1500

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If AA and BB are countable sets, then so is A∪BA∪B.
Lostsunrise [7]

Answer with Step-by-step explanation:

We are given that A and B are two countable sets

We have to show that if A and B are countable then A\cup B is countable.

Countable means finite set or countably infinite.

Case 1: If A and B are two finite sets

Suppose A={1} and B={2}

A\cup B={1,2}=Finite=Countable

Hence, A\cup B is countable.

Case 2: If A finite and B is countably infinite

Suppose, A={1,2,3}

B=N={1,2,3,...}

Then, A\cup B={1,2,3,....}=N

Hence,A\cup B is countable.

Case 3:If A is countably infinite and B is finite set.

Suppose , A=Z={..,-2,-1,0,1,2,....}

B={-2,-3}

A\cup B=Z=Countable

Hence, A\cup B countable.

Case 4:If A and B are both countably infinite sets.

Suppose A=N and B=Z

Then,A\cup B=N\cup Z=Z

Hence,A\cup B is countable.

Therefore, if A and B are countable sets, then A\cup B is also countable.

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3 years ago
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Answer:

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