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Leni [432]
3 years ago
9

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o

nly 260 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air. please show step by step
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

w = 40 miles per hour

r = 300 miles per hour

Step-by-step explanation:

We add w with the wind and subtract w against the wind

r+w = 340 miles per hour

r - w = 260 miles per hour

Add the two equations together to eliminate w

r+w = 340 miles per hour

r - w = 260 miles per hour

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

2r = 600

Divide by 2

r = 300 miles per hour without the wind

Now find w

r+w = 340

300 + w = 340

Subtract 300

w = 340-300

w = 40 miles per hour

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8y-2d=0 5y+4d=26 1/4
Anit [1.1K]

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d =  105/4  ------------------(II)

(I)*2      16y  - 4d = 0

(II)          <u>5y + 4d = 105/4</u>      {add (I) &(II)}

             21y        = 105/4

y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

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2 years ago
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Someone, please help! I'm really confused
11111nata11111 [884]

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

<h3>What is the SAS Congruence Theorem?</h3>

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

<h3>What is the Reflexive Property?</h3>

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

Learn more about the SAS theorem on:

brainly.com/question/2102943

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the science department buys the equipment shown in the table. they bought all three items this year. in how many years will they
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Hope this help!!!

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