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VARVARA [1.3K]
2 years ago
8

? What is the next step in the proof? Choose the most logical approach. Given: Transversal t passes through parallel lines r and

s. Prove: ∠3≅∠6 ∠4≅∠5 Statement Reason 1. r || s given 2. ∠3≅∠7 ∠4≅∠8 For parallel lines cut by a transversal, corresponding angles are congruent. 3.
Mathematics
2 answers:
ExtremeBDS [4]2 years ago
7 0
<span>What is the next step in the proof? Choose the most logical approach. Statement: ∠1≅∠8 and ∠2≅∠7 Reason: Congruent Supplements Theorem Statement: m∠3+m∠4=180° and m∠7+m∠8=180° Reason: Linear Pair Theorem Statement: m∠3+m∠5=180° and m∠4+m∠6=180° Reason: definition of supplementary angles Statement: ∠7≅∠6 and ∠8≅∠5 Reason: Vertical Angles Theorem Done </span>
andreyandreev [35.5K]2 years ago
6 0

Statement: ∠7≅∠6 and ∠8≅∠5

Reason: Vertical Angles Theorem Done

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During a period of 30 minutes, a music station played 5 minutes of commercials. What is the ratio of music they played to commer
SVETLANKA909090 [29]

Answer:

6

Step-by-step explanation:

30 divded by 6

6 0
3 years ago
Question 3 of 10 * - 3 is a factor of P(x) =*? – 73? + 158-9 O A. True O B. False
Elina [12.6K]

Given,

The expression is,

P(x)=x^3-7x^2+15x-9

If x- 3 is the factor of the given polynomial function, then on substituting the value of x = 3 in the polynomial function, it become zero.

Thus subsituting the value of x in the polynomial,

\begin{gathered} P(3)=3^3-7\times3^2+15\times3-9 \\ =27-7\times9+45-9 \\ =27+45-63-9 \\ =72-72 \\ =0 \end{gathered}

Here, the obtained value of polynomial is 0.

Hence, x-3 is a factor of the given polynomial.

Thus, option A(true) is correct.

6 0
10 months ago
Write the fraction of 15/25 in its simple form​
Shkiper50 [21]
The answer would be 3/5
6 0
2 years ago
Read 2 more answers
3.
HACTEHA [7]

2 \frac{2}{3}x  + 6
3 0
3 years ago
The sum of two numbers is 50 and the difference is 14. What are the numbers?
sammy [17]

Answer: 18 and 32

Step-by-step explanation: The first thing you want to do is create a system of equations.

Let's use x to represent one number and y to represent the other.

So, we know that x+y=50 and x-y=14.

We can manipulate the second equation, making it x=y+14 by adding y to both sides. Then, now that we have an equivalent to x, we can plug it into the first equation to solve for y.

(y+14)+y=50

2y+14=50

2y=36

y=18

x+18=50

x=50-18

x=32

x=32, y=18

6 0
2 years ago
Read 2 more answers
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