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Simora [160]
3 years ago
5

Summer school please help

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0
Step One
Set up a proof for congruent triangles.
By SAS The triangles are congruent. That comes from the fact that <ABD = <ABE (a perpendicular to a straight line will produce 2 right angles) if they are interior to a triangle as well)
DB = BE That comes from the bisector part of the givens.
AB = AB That's always true.

AD = AE Congruent triangles have equal corresponding sides.

Step Two
Set up the equation.
AD = AE
x - 10 = 2x - 34    Add 34 to both sides.
x - 10 + 34 = 2x   
x + 24 = 2x          Subtract x from both sides.
24 = 2x - x
24 = x  

Answer C <<<<<

Problem 2
Find AD if AD = x - 10

Givens 
x = 24 from the previous question.

Solve
AD = 24 - 10
AD = 14
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Need step by step detailed answer
kolezko [41]

Answer:

y = -4x - 4

Step-by-step explanation:

If we have two lines in slope intercept form as

y = m_1x + c_1 \text{ and}\\y = m_2x + c_2\\

then the product of the slopes m_1m_2 = -1

In other words, m_2 = -\frac{1}{m_1}

We have the first line as

y = \frac{1}{4}x + 5\\\\

The slope of this line is \frac{1}{4}

The slope of a perpendicular line will be the negative of the reciprocal of this line

Reciprocal of 1/4 is 4

So slope of perpendicular line is -4 which implies

y = -4x + c

We have to determine c

Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c

8 = (-4)(-3) + c

8 = 12 + c

c = -4

So the equation of the perpendicular line is y = -4x - 4 (Answer)

It is always a good idea to plot these graphs and see if they fit the data provided

The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)

4 0
1 year ago
Find the missing angle according to the Triangle Exterior Angle Theorem
atroni [7]

Answer:

x=128°

Step-by-step explanation:

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5 0
2 years ago
What does 9(3j-6) equal?
Bezzdna [24]
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8 0
2 years ago
The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the
LekaFEV [45]

Answer:

56 = 56

Step-by-step explanation:

Given:

Bus fare = $2.00

coupon book = 28.00

bus fare w/ coupon book = $1.00

let x be the number of bus rides.

2.00x = 1.00x + 28.00

2.00x - 1.00x = 28.00

1x = 28.00

x = 28.00

24 bus rides for both to have the same cost.

2.00x = 1.00x + 28

2.00(28) = 1.00(28) + 28

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2 years ago
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sasho [114]

Answer:

Mai

Step-by-step explanation:

To find the rate, you must determine who is going faster per minute. To do this, you must divide the total number of miles by the total number of minutes.

Mai: 5 miles / 15 minutes = 1/3 miles per minute

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Then, use a common denominator to make calculations easier:

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You should get:

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By looking at this, you can see that Mai is traveling slightly faster, going more miles than Jada per minute.

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