hi guys this one is one whole question it just couldent fit please help

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

The Hypotenuse-Leg theorem states that two right triangles are congruent if and only if their hypotenuses and any of their corresponding legs are congruent. That is to say:

[tex]\overline {AC} \cong \overline {DF}[/tex], [tex]\overline{BC} \cong \overline {EF}[/tex]

[tex]AC = DF, BC = EF[/tex]

[tex]\sqrt{AB^{2}+BC^{2}} = \sqrt{DE^{2}+EF^{2}}[/tex], [tex]BC = EF[/tex]

If we know that [tex]AB = 10[/tex], [tex]BC = 4[/tex], [tex]DE = 10[/tex] and [tex]EF = 4[/tex], then we have the following outcomes:

[tex]\sqrt{10^{2}+4^{2}} = \sqrt{10^{2}+4^{2}}[/tex]

[tex]4 = 4[/tex]

Since hypotenuses and legs have the same length, then both are congruent and thus, triangles ABC and DEF are congruent.

We kindly invite to check this question on triangles: https://brainly.com/question/21972776

Answer:

1) [tex]x=15, y=41[/tex]

2) [tex]x=6, y=24[/tex]

Step-by-step explanation:

1)

The two triangles are similar by AA similarity.

That means [tex]5x-5=4x+10[/tex].

We can add [tex]5[/tex] to both sides to get [tex]5x=4x+15[/tex].

We can then subtract [tex]4x[/tex] from both sides to get [tex]x=15[/tex].

We know that the [tex](5x-5)+(6y-4)=180[/tex]  because they both lie on a straight line.

We can plug in for [tex]x[/tex] to get [tex](5(15)-5)+(6y-4)=75-5+6y-4=6y-66=180[/tex].

We can divide both sides of the equation by [tex]6[/tex] to get [tex]y-11=30[/tex].

We then add [tex]11[/tex] to both sides to get [tex]y=41[/tex].

So, [tex]\boxed{x=15, y=41}[/tex] and we're done!

2)

Because the two bases of a trapezoid are parallel, meaning adjacent top and bottom angles sum to [tex]180^{\circ}[/tex], we have that [tex]90+3y+18=180[/tex].

We can subtract a [tex]90[/tex] and an [tex]18[/tex] from both sides to get [tex]3y=72[/tex].

We then divide both sides of the equation by [tex]3[/tex] to get [tex]y=24[/tex].

We do the same thing for [tex]x[/tex]. On the other side of the trapezoid, we have that [tex]15x+30+10x=180[/tex].

We combine like terms on the left side to get [tex]25x+30=180[/tex].

We subtract a [tex]30[/tex] from both sides to get [tex]25x=150[/tex].

We divide both sides of the equation to get [tex]x=6[/tex].

So, [tex]\boxed{x=6, y=24}[/tex] and we're done!

Answer:

43/100

Step-by-step explanation:

9514 1404 393

Answer:

  6x -7 units

Step-by-step explanation:

Let c represent the length of the third side. The perimeter is the sum of the three side lengths.

  P = a + b + c

  (17x -5) = (3x +5) +(8x -3) +c

 17x -5 = 11x +2 + c . . . . . . . . . . . . collect terms

  6x -7 = c . . . . . . . . . . . . . . subtract 11x+2

The third side is 6x -7 units.

Answer:

Yes, he will be able to afford 25 miles

Step-by-step explanation:

20.00 - 1.75 = 18.25

He will have $18.25 after the initial payment.

18.25 / 0.65 = 28~

He will be able to go 28 miles with the 18 dollars he has left.

Answer:

10 + 78.567 = 88.567

Step-by-step explanation: thank you

Answer:

113. x = √65 cm

114. x= 7.10 cm

Answer: Jose incorrectly rounded $2.85 down to $2. The estimate should $18.

Step-by-step explanation:

lol i had this question

Answer:

y = 2x, y = 2x+2, y=2x+100, y=2x-57, etc.

Step-by-step explanation:

Any line with the same slope will be parallel.

Answer:

Lashonda is not popular. She only received 40% of the votes.

Step-by-step explanation:

8/20 can be simplified to 2/5. If 1/5 is equal to 20%. Then 2 times 20% is 40%.

Answer:

B. :>

Step-by-step explanation:

Answer: y = -5/4x+5

Hope this helps!!!

Answer:

I got 10 as the answer

Step-by-step explanation:

-(-8)-(-2)

8-(-2)

8+2

10

Answer:

is it -(-8) -(-2) or

(-8) -(-2) cause

I think you can use a number line which comes to a +6

Answer:

the value is 126

Step-by-step explanation:

have a good day

Answer:

1/2 or 50%

Step-by-step explanation

Answer:

75%

Step-by-step explanation:

To find probability of one being red, do 1 minus probability of being black.

1/2*1/2=1/4

1-1/4=3/4

=75%

Answer:

inconsistent, none

Step-by-step explanation:

Write both equations in slope-intercept form to see if the lines are parallel.

These two lines have slope m = −2 and different y-intercepts, therefore they are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

The system of equations  4x + 2y = −8 6x + 3y = 9 is inconsistent and has no solutions.

A system of equations is a collection of two or more equations with a same set of unknowns.

We need to write both equations in slope-intercept form to see if the lines are parallel.

4x+2y=-8

2y=-8-4x

y=-4-2x,

y=-2x-4, m₁=-2

and 6x+3y=9

3y=9-6x

y=-2x+3, m₂=-2.

So two lines have slope m = −2 and different y-intercepts,

It means two line are parallel.

Since the lines are parallel, the system is inconsistent and there are no solutions.

Hence 4x + 2y = −8 , 6x + 3y = 9 is inconsistent and has no solution.

To learn more on system of equations click:

https://brainly.com/question/24065247

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Answer:

18p + 14

Step-by-step explanation:

6

(

3

+

2

)

+

2

{\color{#c92786}{6(3p+2)}}+2

6(3p+2)+2

1

8

+

1

2

+

2

Answer:

15.6

Step-by-step explanation:

1 times 12 is 12 3/10 of 12 is 3.6 12+3.6=15.6

Answer:

$15.60

Step-by-step explanation:

multiply 1.3 (which is the same as 1 3/10) and 12

Answer:

9 portions and 15 grams in each portion

Answer:

$4.56

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

[tex]\frac{1}{4} / \frac{2}{3}\\\\\frac{1}{4} *\frac{3}{2} = \frac{3}{8} \\\\[/tex]

Answer:

B

Step-by-step explanation:

it will never cross so it's b

Answer:

Slope for...:

7: 1

8: -2

9: 12/0

10: 4/3

11: 2/-7

12: 0/4

13: -1/3

14: 5/9

15: 1/4

Hope this helps!

Answer:

it is between a c because they are both 12

Step-by-step explanation:

Answer:

I am going to answer using calculus. Let me know if you instead were looking for an algebraic method. Take the definite integral from 3 to 6 of xdx. [x^2/2]3 to 6= 18-(9/2)= (36-9)/2= 27/2. The area is 27/2