Right Isosceles Triangle ABC has a hypotenuse of length h. Line segment DE is a midsegment with length 4x. What is the perimeter of triangle ABC?

Answers

Answer 1

Answer: If it is parallel to the hypotenuse, then the hypotenuse is twice as long. So h = 8x
Then the legs will be (8x)/sqr(2). Since the triangle is a 45-45-90

So the perimeter = 8x + (8x)/sqr(2)+ (8x)/sqr(2)
=8x+ 16x/sqr(2)
=8x+ 8xsqr2

2)if the midsegment Is parallel to a leg, then each leg = 8x and the hypotenuse = 8x sqr2

Then the perimeter is 8x + 8x + 8xsqr2
= 16x+ 8xsqr2

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The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?
What is the value of k ?
A probability experiment consists of rolling a fair 6 -sided die. Find the probability of the event below. rolling a number greater than 4
6x2y + 4xy2 − 2y3 + 6) + (x2y + 3y3 − 5)

How do I solve for x in the two equations below using substitution.
4x-2y=4
8x+2y=20

Answers

$4x-2y=4 \n8x+2y=20 \n \n\hbox{from the 1st equation:} \n4x-2y=4 \n-2y=-4x+4 \ny=2x-2 \n \n\hbox{substitute 2x-2 for y in the 2nd equation:} \n8x+2(2x-2)=20 \n8x+4x-4=20 \n12x=24 \nx=2 \n \ny=2 \cdot 2-2 \n\y=4-2 \ny=2 \n \n \hbox{the answer:} \nx=2 \n y=2$

4x-2y=4
8x+2y=20

12x=24
x=24/12
x=2

sub x into 8x+2y=20
8(2)+2y=20
16+2y=20
2y=20-16
2y=4
y=4/2
y=2

solution (2,2)

check
4x-2y=4(2)-2(2)=4
8x+2y=8(2)+2(2)=16

hope this helps

What is the ratio of consonants to vowels in the english language?

Answers

There are 26 letters in the English Alphabet. 20 of them are Consonants and 5 of them are vowels. The letter Y is an exception that can fit into either category.

A newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Answers

$1\ quarter=\$0.25\n1\ dime=\$0.10\n1\ nickel=\$0.05\n\nq\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ quarters\nd\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ dimes\nn\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ nickels\n\nq=2d\ \ \ and\ \ \ n=3q\ \ \ \Rightarrow\ \ \ n=3\cdot 2d=6d\n\nq\cdot0.25+d\cdot0.10+n\cdot 0.03=1.80\n\n2d\cdot0.25+d\cdot0.1+6d\cdot0.05=1.8\n\n$

$0.5d+0.1d+0.3d=1.8\n\n0.9d=1.8\ \ \ \Rightarrow\ \ \ d=2\ \ \ \Rightarrow\ \ \ q=2\cdot2=4\ \ \ and\ \ \ n=6\cdot2=12\n\nAns.\ 4\ quarters,\ 2\ dimes,\ 12\ nickels$

9 gal/s=______at/min

Answers

9 gal............................................................1second
?how many gallons......................................60 seconds(1min)

to find out you do 9*60=540 gallons per minute

9 gals/second
xgals/minute
1 minute=60 seconds
xgals/60 seconds=9gals/1 second
x/60=9/1
solve for x
x/60=9/1
x/60=9
multily both sides by 60 to clear fraciton
x times 60/60=9 times 60
x times 60/60=x times 1=x

x=540

the answer is 540 gallons per minute

1Convert the following equation to slope-intercept formy-3=\frac{1}{8}\left(x+8\right)y−3=8(x+8)

Answers

Answer:

y = 8x + 67

Step-by-step explanation:

The equation of a line in slop- intercept form is

y = mx + c

Given

y - 3 = 8(x + 8) ← distribute parenthesis

y - 3 = 8x + 64 ( add 3 to both sides )

y = 8x + 67 ← in slope- intercept form

Trim the exam the equation below and said that the equation has exactly one solution -8(x - 4) + 2x = -4(x - 8) - 2x which explains whether Trina is correct:a.) Trina is correct because the two sides of the equation are equivalent
b.) Trina is correct because the two sides of the equation are not equivalent
c.) Trina is not correct because the two sides of the equation are equivalent
d.) Trina is not correct because the two sides of the equation are not equivalent
I'm super confused on this can somebody help me

Answers

The answer is C Trina is not correct because the two sides of the equation are equivalent

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