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vladimir2022 [97]
3 years ago
15

Match the reasons with the statements in the proof.

Mathematics
2 answers:
scoray [572]3 years ago
4 0
Given: a | | b, m 2 = m 3
Prove: m 1 = m 3

1. a || b, m∠2 = m∠3
Given

2. m∠1 = m∠2
If lines are ||, corresponding angles are equal.

3. m∠1 = m∠3
Substitution
Lady bird [3.3K]3 years ago
3 0
Swap the last two reasons in your problem statement, and you have it sorted.
You might be interested in
Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the
Sunny_sXe [5.5K]

Answer:

x is approximately 226.3 feet

y is approximately 308.6 feet

z is approximately 226.3 feet

Step-by-step explanation:

The given parameters of the walls are;

The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°

From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°

The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet

x = The height of the shorter wall = l × sin(θ₂)

∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet

∴ x ≈ 226.3 feet

By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6

y ≈ 308.6 feet

z =  l × cos(θ₂)

∴  z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

6 0
3 years ago
14. The prime factorization of a number is
NikAS [45]

Answer:

See below.

Step-by-step explanation:

The number = 5 * 7 * 23.

5  * 7 = 35 must therefore also be a factor.

If we divide the number by 35 we get 23!.

4 0
3 years ago
Will give brainliest
Katen [24]

Answer:

Trapezoid

Step-by-step explanation:

The two sloped opposite sides are congruent. The two uncongruent opposite sides are parallel. There are no right angles. You can do this by finding the distance and slopes of the lines.

Not triangle because has four vertices.

3 0
2 years ago
Describe how the value of the independent variable is related to the value of the dependent variable. Is the relationship additi
n200080 [17]
The dependent value is determine by the value of the independent value. in other words, the dependent value is what you get when you take the independent value and substitute it in the original equation or situation. The relationship is multiplicative because you must first multiply the independent value in the equation where the x is before you can add or subtract to get your answer.<span />
4 0
3 years ago
Tyrone wrote an equivalent expression for 28 + x - 2n + 7 - n - 5x + 4. His equivalent expression was -3n - 5x + 39 + x. What er
MA_775_DIABLO [31]

Answer with Step-by-step explanation:

We are given an expression:

28 + x - 2n + 7 - n - 5x + 4

We have to find its equivalent expression

On combining the like terms of the above expression

28+4+7+x-5x-2n-n

= 39-4x-3n

= -3n-4x+39

According to Tyrone the equivalent expression was:

-3n - 5x + 39 + x

The error Tyrone made was:

A. Tyrone neglected to combine the x terms

6 0
3 years ago
Read 2 more answers
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