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Westkost [7]
3 years ago
7

Solve! Image attached! Geometry, dumb/incorrect answers will get account, and answer reported, please answer all the way through

Mathematics
1 answer:
neonofarm [45]3 years ago
5 0

Answer:

+) m∠1 = m∠2 (vertical angles theorem)

+) m∠2 and ∠3 are supplementary (because a//b)

+)m∠3 = m∠4 (alternate interior angles theorem, c//d)

=> ∠1 and ∠4 are supplementary (substitution property of equality)

Step-by-step explanation:

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(x+1)² + (y-1)² = 1 + 9/16

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What is the range of the function
alexandr1967 [171]

Answer: Choice B

Range = {-3, 1, 5}

============================================

Explanation:

The domain is the set of all possible input x values. The range is the set of all possible y outputs.

Plug in each x value from the domain, one at a time, to get its corresponding range y value.

--------------------

Start with x = -3

f(x) = 2x+3

f(-3) = 2(-3)+3

f(-3) = -6+3

f(-3) = -3

So -3 is in the range.

--------------------

Move onto x = -1

f(x) = 2x+3

f(-1) = 2(-1)+3

f(-1) = -2+3

f(-1) = 1

1 is also in the range

--------------------

Finally plug in x = 1

f(x) = 2x+3

f(1) = 2(1)+3

f(1) = 2+3

f(1) = 5

The value 5 is the final value in the range.

--------------------

All of those values form the set {-3, 1, 5} which is the complete range.

7 0
3 years ago
Help quick please. Order the numbers from least to greatest.
Anastasy [175]

Answer:

-2\frac{1}{4}

Step-by-step explanation:

Mod of any number represents the absolute value of the number.

Therefore, |-2\frac{1}{4}|=2\frac{1}{4} = 2.25

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|1\frac{1}{4}|=1.25

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Now we can arrange these numbers in ascending order.

-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25

Therefore, -2\frac{1}{4}

4 0
3 years ago
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