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2 years ago

In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.

Mathematics

1 answer:

solniwko [45]2 years ago

8 0

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

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What is the value of 6i/1+i? 2 – 6i 2 + 6i 3 – 3i 3 + 3i

mihalych1998 [28]

6i/ (1+i)

multiply by the complex conjugate (1-i)/(1-i)

6i/(1+i) * (1-i)/(1-i)

6i* (1-i) = 6i - 6i^2 = 6i - 6(-1) = 6i +6

(1+i)*(1-i)= 1-i +i -i^2 = 1 -i+i -(-1) = 1+1=2

(6+6i)/2

3+3i

Answer: 3+3i

6 0

2 years ago

Read 2 more answers

In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points

Alinara [238K]

Answer:

The Bees scored 90 points.

Explanation:

First, let's prove that the equation is correct.

To create the equation, you translate the verbal statements into algebraic expressions.

Since, it is said that x respresents the number of points scored by the Hornets, that is your variable and all the verbal statements will be translated using x:

a) NUmber of points scored by the Hornets: x

b) The Bees scored 9 less than three times as many points as the Hornets ⇒v3x - 9

c) The Wasps scored 28 more points than the Hornets ⇒ x + 8

d) Together the three teams scored 184 points ⇒

x + (3x - 9) + (x + 28) = 184

Which indeed is the given equation: (3x – 9) + x + (x + 28) = 184

Now, complete the steps to show it, in the same order given:

1. Combine like terms.

Remove the parenthesis: x + 3x - 9 + x + 28 = 184

Combine the terms on x on the left: x + 3x + x = 5x

Combine the constants on the left: - 9 + 28 = 19

Write the result: 5x + 19 = 184

2. Use the subtraction property of equality.

Subtract 19 from both sides: 5x + 19 - 19 = 184 - 19

Due the operations: 5x = 165

3. Use the division property of equality. 4.

Divide both sides by 5: (5x / 5) = 165 / 5

Due the operations: x = 33

4. Use the variable to answer the question. How many points did the Bees score?

The expression for the points scored by the Bees is 3x - 9, so substitute x in that expression: 3 (33) - 9 = 99 - 9 = 90.

Answer: the Bees scored 90 points.

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2 years ago

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Sportware, a leading shoe manufacturer, markets sneakers under the brand name "Athletix" and dress shoes under the brand name "C

blondinia [14]

Answer:

Multibrands

Step-by-step explanation: Multibrands is a branding strategy applied by business organisations in order to target different market segments, make more brands available thereby creating variety of options for its customers or consumers.

Multibranding is essential for most businesses as it guarantee that businesses keep their different customers by provision of different brands for different classes or tastes.

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2 years ago

You jog 6/23 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?

LenaWriter [7]

Well, since you jogged 6/23 mi. a day, for 4 days, it'll be (6/23)×4. This is 24/23 which is one mile and 1/24 of one.

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2 years ago

Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible value

vodka [1.7K]

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

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2 years ago