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Wewaii [24]
3 years ago
8

Find m<1 A. 70° B. 65° C. 50° D. 40°

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

Question :- Find Angle 1 in diagram

Answer:- Exterior angle is equal to sum of two opposite interior Angle

so :- ATQ

140 =  \angle1  + 90 \\ 140 - 90 =  \angle1 \\ 50° =  \angle1 \:  \: ans

so your answer is option (C) 50°

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What is the solution of the equation x − 2 = 29?<br> -31<br> -27<br> 27<br> 31
Allisa [31]

31-2=29 you add 2 to both sides so -2 cancels and you are left with X=31

the answer is 31

5 0
3 years ago
In how many ways can a committee of 5 people be chosen from a total of 30 possible people?
Stolb23 [73]

Answer:  142506

Step-by-step explanation:

Given : The total number of choices for people in committee = 30

The number of people need to be chosen =5

Since , here order doesn't matter, so we use combination.

The combination of r things taking from n at a time is given by :-

C(n,r)=\dfrac{n!}{(n-r)!r!}

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

C(30,5)=\dfrac{30!}{(30-5)!5!}\\\\=\dfrac{30\times29\times28\times27\times26}{120}\\\\=142506

Hence, the committee can be made in 142506 ways.

3 0
3 years ago
Find the product (3x + 2)(x ^ 3 - 4x ^ 2 + 7)
schepotkina [342]

Answer:

see attachment

Step-by-step explanation:

5 0
3 years ago
ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least
Ymorist [56]
First find out how much he makes in 8 hours (9x8=72). Then subtract 72 from 155 (155-72=83). Then divide 83 by 6 (83/6=13.8333). Since 83 is not evenly divisible by 6, and since he can't deliver .8333 of a delivery, we would round up, giving us 14). Ben would need to make 14 deliveries in 8 hours to make more than $155 :) Hope this helps you :)
3 0
3 years ago
This is confusion please help
oksano4ka [1.4K]

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²      

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 <em>is </em>our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, \sqrt{125} = \sqrt{5*25}

and

\sqrt{5*25}=\sqrt{5}*\sqrt{25}

we can take out the square root of 25 (5):

=\sqrt{5}*5

we write this as such: 5\sqrt{5}

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

4 0
2 years ago
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