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3 years ago

∠1 and ∠2 are vertical angles. ∠2 has a measure of 93°. What is the measure of ∠1 ? Enter your answer in the box. °

Mathematics

2 answers:

kirza4 [7]3 years ago

6 0

The measure of ∠1 is also 93° because vertically opposite angles are equal.

tia_tia [17]3 years ago

4 0

Answer:

It is 93 i just finished my quiz

Step-by-step explanation:

Some people that proably needs this answer wants to see somebody agree also , like have another green check.

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Three Texas drovers met on a highway and began to dicker as follows:

Alik [6]

Answer:

Jim's: 7
Duke's: 21
Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

3(D -14 +1) = (H +14 -1) . . . . Duke's offer

6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

2H - J = 15

3D - H = 52

6J - D = 21

Solution

Adding twice the second equation to the first gives ...

2(3D -H) +(2H -J) = 2(52) +(15)

6D -J = 119

Adding 6 times the third equation to this one gives ...

6(6J -D) +(6D -J) = 6(21) +(119)

35J = 245

J = 7

Using this value in the third equation gives ...

6(7) -D = 21

42 -21 = D = 21

Using the value of J in the first equation gives ...

2H -7 = 15

H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0

3 years ago

Emerson earns money from walking dogs and answering surveys. He earns $5 a week for each dog he walks and $0.10 for each survey

maria [59]

Part A: X=(35-(100*0.10))/5 35= 5X+(100*0.10)
Where X is the number of dogs he walked.

Part B: To solve the equation just simplify it by using inverse operations. It should give you 5 dogs walked. The algebraic property justifying this is inverse operations.

Part C: Emerson walked 5 dogs last week.

8 0

3 years ago

Read 2 more answers

Jack got the expression 7x+1 and then wrote his answer as 1+7x . is his answer an equivalent expression? how do you know?

Solnce55 [7]

True. According to the Commutative Property of addition, the numbers could be put in any order and still result in the same answer.

3 0

3 years ago

How do you do number 1? Whenever I tried to answer it, I always get fraction. help me.

Flura [38]

Answer:

The pairs are (13,15) and (-15,-13).

Step-by-step explanation:

If n is an odd integer, the very next odd integer will be n+2.

n+1 is even (so we aren't using this number)

The sum of the squares of (n) and (n+2) is 394.

This means

(n)^2+(n+2)^2=394

n^2+(n+2)(n+2)=394

n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2

Combine like terms:

2n^2+4n+4=394

Subtract 394 on both sides:

2n^2+4n-390=0

Divide both sides by 2:

n^2+2n-195=0

Now we need to find two numbers that multiply to be -195 and add up to be 2.

15 and -13 since 15(-13)=-195 and 15+(-13)=2

So the factored form is

(n+15)(n-13)=0

This means we have n+15=0 and n-13=0 to solve.

n+15=0

Subtract 15 on both sides:

n=-15

n-13=0

Add 13 on both sides:

n=13

So if n=13 , then n+2=15.

If n=-15, then n+2=-13.

Let's check both results

(n,n+2)=(13,15)

13^2+15^2=169+225=394. So (13,15) looks good!

(n,n+2)=(-15,-13)

(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!

6 0

3 years ago

Solve the following equation by factoring: 9x^2 – 3x – 2 = 0

crimeas [40]

The answer is A. X=-1/3 or x=2/3

5 0

3 years ago

Read 2 more answers

∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 93°. What is the measure of ​ ∠1 ​? Enter your answer in the box. °

∠1 and ∠2 are vertical angles. ∠2 has a measure of 93°. What is the measure of ∠1 ? Enter your answer in the box. °