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NemiM [27]
3 years ago
7

Complete the reasons for the proof.

Mathematics
2 answers:
-Dominant- [34]3 years ago
6 0

Answer:

a0 - Given

a1 - Exterior

a2 - opposite

a3 - supplementary

a4 - angles

a5 - equal

a6 - Substitution

a7 - supplementary

Step-by-step explanation:

just checked answer after submitting

andreyandreev [35.5K]3 years ago
5 0

Reasons:

(1)  Given

(2) their 2 non-common sides in 1 ray

(3) definition of: supplemental angles

(4) Substitution

(5) Opposite angles are congruent (equal)

(6) Substitution

(7) Definition of supplementary angles


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Jossline rented a bicycle while she was on vacation. She paid a flat rental fee of $55 plus
Nat2105 [25]

Answer: 123/8.50

Step-by-step explanation:

6 0
3 years ago
Which of the following is equivalent to 2-47
lara31 [8.8K]

Answer:

45

Step-by-step explanation:

2 minus 47 equals 45 if that's what your talking about

7 0
3 years ago
To win a trivia game, Nathan must score at least 75 points. Each correct answer is worth 2 1/2 points , and each incorrect answe
Dmitrij [34]

Answer:

He scored 79\frac{1}{2} points.

Step-by-step explanation:

Given:

Number of points for a correct answer = 2\frac{1}{2}

Number of points scored for an incorrect answer = -\frac{1}{4}

Therefore, for 35 correct answers, points scored = 35\times 2\frac{1}{2}=35\times \frac{5}{2}=\frac{175}{2}

Now, for 32 incorrect answers, points scored = 32\times -\frac{1}{4}=-\frac{32}{4}=-8

Therefore, net number of points scored by Nathan is:

\frac{175}{2}-8=\frac{175}{2}-\frac{16}{2}=\frac{175-16}{2}=\frac{159}{2}=79\frac{1}{2}

Therefore, Nathan scored 79\frac{1}{2} points.

3 0
3 years ago
A copy machine makes
tankabanditka [31]
4 min 30 sec = 4.5 minutes.
Divide 108 by 4.5 to get the UNIT RATE which is per 1 minute.
108/4.5 = 24 pages per min
7 0
3 years ago
If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.
Verizon [17]

Step-by-step explanation:

the solutions for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = k

x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)

x1 = 2 + sqrt(4 - k)

x2 = 2 - sqrt (4 - k)

x1 = 2 + x2

2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)

2×sqrt(4 - k) = 2

sqrt(4 - k) = 1

4 - k = 1

k = 4 - 1 = 3

x1 = 3

x2 = 1

3 0
2 years ago
Read 2 more answers
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