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3 years ago

Which of the following are remote interior angles of 1? Check all that apply.

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

7 0

Answer:

Step-by-step explanation:

Remote interior angles are defined as the two angles that are inside the triangle and opposite from the exterior angle.

In this case, $\angle 3$ and $\angle 2$ are remote interior angles of 1, because they are opposite to it, which is the exterior angle.

Therefore, the right choices are A and B.

liraira [26]3 years ago

3 0

Answer:

A. <2

B. <3

Step-by-step explanation:

The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle

Remote interior angles of <1 are <2 and <3

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Jeff and Kirk can build a 75-ft retaining wall together in 4 hours. Because Jeff has more experience, he could build the wall

oee [108]

It will take Kirk about 8 hours 32 minutes to build the wall by himself.

<h3>What is Quadratic Polynomial?</h3>

Quadratic equations are second-degree algebraic expressions and are of the form ax² + bx + c = 0.

Here, Let k represent Kirk's time (in hours) to build the wall by himself. Then (k-1) is the time it takes for Jeff to build it. Their working-together rate in "walls per hour" is ...

1/k +1/(k -1) = 1/4

Multiplying by 4k(k-1), we have ...

4(k-1) +4k = k(k -1)

k² -9k = -4 . . . . . . . . subtract 8k and simplify

k² -9k +20.25 = 16.25 . . . . . add (9/2)² to complete the square

k -4.5 = √16.25 . . . . . . . . . take the square root

k = 4.5 +√16.25 ≈ 8.531129 . . . hours

The fractional hour is ...

0.531129 × 60 min ≈ 31.9 min ≈ 32 min

Thus, It will take Kirk about 8 hours 32 minutes to build the wall by himself.

Learn more about Quadratic Polynomial from:

brainly.com/question/2350120

#SPJ1

8 0

2 years ago

Read 2 more answers

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago

Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a

Annette [7]

Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

6 0

2 years ago

Read 2 more answers

Please help (Will make brainliest!!) <br> Solve and explain steps

vlada-n [284]

If angle ec is a bisector then angles Bec and ced are the same making them both 4x+1. we know a line segment equals 180°. so if we take the 11x-12 and add it to 2(4x+1) we end up with 19x-10=180. you add 10 to both sides and get 19x=190 then you divide by both sides. you'll end up with x=10. you plug In the 10 with aeb and aec and add them together to get 139°. if you're looking for the equation, it's 15x-11.

4 0

3 years ago

The sum of two numbers is 60. one number is 4 times as large as the other. what are the numbers?

Tom [10]

Answer:

x+4x = 60

Step-by-step explanation:

5x=60

x=12

4x=48

answers are 12 and 48

5 0

3 years ago