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3 years ago

12

To drive to work, Dave has to drive 20 miles east and then 15 miles north. If there were a direct road going northeast, how many

miles would he have to drive?

1 answer:

suter [353]3 years ago

7 0

By the Pythagorean theorem:

$x= \sqrt{20^2+15^2}= \sqrt{400+225}= \sqrt{625}=25 \ miles$

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Diego's sister is twice his age minus 9 years. She is also as old as half the sum of the ages of Diego and both of his 12-year-o

slava [35]

Answer:

Diego is 14 years old.

Sister is 19

Step-by-step explanation:

x = Diego's age

<u>x</u><u> </u><u>+</u><u> </u><u>2</u><u>4</u>

2x-9 = 2

First to get rid of the fraction we multiply each side by 2

2(2x-9) = 2((x+24)/2)

4x-18 = x+24

The we isolate x

4x-18 = x+24

<u>-x+18 -x+18</u>

<u>3x</u> = <u>42</u> Now we divide each side 3

3 3

x = 14

So Diego is 14

Now we can solve for his sister. We can use one of the two equations from earlier to do this.

Plug 14 in for x and then solve for his sister

2(14)-9

28-9

19

His sister is 19

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3 years ago

Read 2 more answers

Identify the graph of the equation. What is the angle of rotation for the equation?

borishaifa [10]

Answer:

d. parabola, 0°

Step-by-step explanation:

y² + 8x - 0

y² = -8x

Where x = cos t , y = sin t

Sin² t = -8 Cos t

1 - Cos² t = -8 Cos t

- Cos² t + 8 Cos t + 1 = 0

t = 2лπ ± (3 + √10) , л∈Z

Angle of rotation

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3 years ago

What is the missing angles

Vaselesa [24]

K = 42, m = 46, j =92

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3 years ago

Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be o

zimovet [89]

Answer:

Range = 3

Variance = 0.6475

Standard Deviation = 0.804

Step-by-step explanation:

The steps and tables is shown in the attachment.

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3 years ago

What are the missing statement and reason in step 2 of the proof? Statement: ∠ABC ≅ ∠BCD, ∠BAD ≅ ∠ADC Reason: For parallel lines

ICE Princess25 [194]

Answer:

Statement: AB=CD, BC=AD

Reason: By definition of parallelogram .

Statement: AC=AC

Reason: Reflexive property of equality.

Step-by-step explanation:

1.Statement: $\angle ABC\cong \angle BCD,\angle BAD\cong \angle ADC$ .

Reason: For parallel lines cut by a transversal , corresponding angles are congruent.

2.Statement:AB=CD,BC=AD

Reason: By definition of parallelogram.

3.Statement: AC=AC

Reason: Reflexive property of equality.

4.Statement: $\triangle ABC\cong \triangle CDA$ .

Reason: SSS criterion for congruence.

5.Statement: $AB\cong CD, BC\cong AD$ .

Reason: Given .

6.Statement: $AB\parallel CD, BC\parallel AD$ .

Reason: By definition of parallelogram.

7.Statement: $\angle BAC\cong \angle ACD$ .

Reason: Alternate Interior Angles Theorem.

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3 years ago