Find the values of x
and y that make these triangles congruent by the HL Theorem.
X = 2, Y = 1
X = 3, y = 2
X=1, y = 2
X = 2, y = 3

Find The Values Of Xand Y That Make These Triangles Congruent By The HL Theorem.X = 2, Y = 1X = 3, Y

Answers

Answer 1

9514 1404 393

Answer:

  (b)  x = 3, y = 2

Step-by-step explanation:

In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:

  3y = x+3

and the corresponding legs must be congruent:

  y +1 = x

__

We can solve this set of equations by substituting for x:

  3y = (y +1) +3

  2y = 4 . . . . . . . .subtract y

  y = 2 . . . . . . . . .divide by 2

  2+1 = x = 3 . . . substitute for y in the equation for x

The solution is (x, y) = (3, 2).


Related Questions

The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?

Answers

Answer:

$89.90

Step-by-step explanation:

38% corresponds to the decimal fraction 0.38.  

The amount of the discount is 0.38($145), or $55.10.  Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.

A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62:  $89.90.

On a map that bus stop is at the coordinates (5,4) and the pond is at the coordinates (8,5) what is the distance from the bus stop to the pond to the nearest unit

Answers

Answer:

Hence the distance is 3.16

Step-by-step explanation:

Given data

The bus stop is at the coordinates (5,4) and

x1=5

y1=4

The pond is at the coordinates (8,5)

x2=8

y2=5

The expression for the distance between two coordinates is

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((8-5)²+(5-4)²)

d=√((3)²+(1)²)

d=√9+1

d=√10

d=3.16

HELPPPPP MEE ITS DUE TODAY pleasseee​

Answers

Angle 2 is 74, angle 1 is 47 ( since vertical angles are congruent), and angle 3 is 69.

PLEASE HELP I WILL MARK BRAIN AND THIS IS WORTH 26 POINTS!!!

Answers

Answer:

1) Already finished

2)0.28,7/25

3)0.78,39/50

4)0.96,24/25

5)0.5,1/2

6)0.3,30%

7)0.4,40%

8)0.25,25%

9)0.55,55%

10)0.2,20%

11)7/20,35%

12)3/4,75%

13)4/5,80%

14)1/25,4%

15)13/20,65%

Step-by-step explanation:

3/7 of the students in a school are in sixth grade. How many students are in the school if 63 of them are sixth graders?

Answers

Answer:

There are 147 students in the school.

Step-by-step explanation:

3/7 of the students are in sixth grade, 63 students are in the sixth grade.

take 63 and divide it by the numerator, 3, you get 21.

You now multiply the fraction by 21 to get the full number of students in the school.

3 * 21 = 63, 7 * 21 = 147

So 63 sixth graders out of 147 total students in the school.

what is the quotient of the fractions below? 7/2 divided by 1/3

Answers

21/2 is what you should get if you divide those two

I need help with this problem

Answers

Answer:

24

Step-by-step explanation:

5^2-3^2=?

25-9=16

sqrt 16 = 4

6×4=24

Write an equation for the line parallel to the given line that contains C.
C(1,4)​; y=−3x+1

Answers

Answer:The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness  of a line and the y-intercept is the point where the line intersects  the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)

Step-by-step explanation:

Simplify square root of .49x^18 where x<0

Answers

Answer:

-.7x^9

Step-by-step explanation:

The solution of the expression 49x¹⁸ will be 7x⁹.

What is a radical expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The radical sign, which may be read as either the nth root of x or x radical n, expresses the root of a number. The vinculum, or horizontal line that encircles the number, and the radicand, or number beneath it, are both technical terms.

The given expression is 49x¹⁸. The value of the expression will be solved as:-

E = √( 49x¹⁸)

E = √ (7² x x¹⁸ )

E = 7x⁹

Therefore, the square root will be equal to 7x⁹.

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f(x) = 3 and g(x) = -2x + 5
Find f(x) * g(x)

Answers

Answer: -6x + 15

Step-by-step explanation:

f (x) = 3

g (x) = -2x + 5

3 (-2x+5)

= -6x +15

Use the distributive property to write an expression that is equivalent to 12 + 4x.

Answers

Answer:

10+2+4x

Step-by-step explanation:

its very simple but still right because 10 and 2 is 12 and well 12+4x is the thing you want to have the same as

Hi! Please help out if you can to explain it! I need so much help on this !

Answers

Step-by-step explanation:

When you translate something, it means to move it exactly as it is from once location to another. In this case, move the object 3 units right, and 3 units up. Each line segment is 1 unit. To translate this object, move each point 3 unit up and 3 units right. After that, connect the points to draw the object.

advance tickets for a school play went on sale. the price of each student ticket was $4 and everyone else paid $5. on the first day, no more than $80 in tickets were sold. describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to non student’s.

Answers

Answer:

0student  16non-student,

5student  12non-student,  

10student  8non-student,

15student  4non-student,

20student  0non-student

Step-by-step explanation:

s student tickets, e non student  

4s + 5e = 80

s     e

0     16        4(0) + 5(16) = 80

5     12        4(5)  + 5(12) = 80

10     8        4(10)  + 5(8) = 80

15     4        4(15)  + 5(4) = 80

20    0        4(20) + 5(0) = 80

Please help!! Will give brainliest! Giving lots of points!

Answers

Answer:

d) [tex](9*3/4)+y[/tex]

Step-by-step explanation:

b) [tex]9+y*(3/4)[/tex]

This expression is not equivalent, as the original expression, [tex]y+9*\frac{3}{4}[/tex] , has 9 multiplied to [tex]\frac{3}{4}[/tex] instead of y. You can interchange values like this when it comes to addition, but not multiplication.

c) [tex](y+9)(3/4)[/tex]

This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to [tex]\frac{3}{4}[/tex].

[tex](y+9)(3/4)\\= y(3/4)+9(3/4)[/tex]

d) [tex](9*3/4)+y[/tex]

This expression is equivalent, as 9 and [tex]\frac{3}{4}[/tex] are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:

[tex](9*3/4)+y\\=y+(9*3/4)\\=y+(9*\frac{3}{4} )\\=y+9*\frac{3}{4}[/tex]

I hope this helps!

30 points. Can you please solve this?

Answers

Answer:

43 glasses with 4 fluid ounces in the last glass

Step-by-step explanation:

156+192= 348

348÷8=43 1/2 glasses 43 full glasses and 4 fl ounces leftover

The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.

When will the obj reach its maximum height ?
What is the max height?
After how many seconds will it hit the ground?

Answers

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20

Umm ... NO FILES/LINKS !!!

Answers

9 and 1/3

You can set up a proportion where
2/9 = ?/42

Cross multiply so 42 x 2 = 84
Then divide so 84/9 = your answer

Answer:

189.

Step-by-step explanation:

I divided 42 by 2 and got 21..

Then, I multiplied 21 by 9 and got 189!

[Help Asap, Will Mark Brainliest If Correct!] Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

74cm^2

Step-by-step explanation:

The four partners in a business decide to split the profits of their company in the ratio 2 : 3 : 3 : 5 .
If the profit one year is $26, 000, then what is the largest amount of profit received by one of the four partners?

Answers

Answer:

$10,000

Step-by-step explanation:

the profit was divided to 2+3+3+5=13 parts

the largest amount of profit

=$26,000×5/13

=$10,000

Find the angle θ between your 2 vectors. Show your work and final answer. Make sure your angle θ is in radians not degrees. Use 5 decimal places in all your calculations. (4 points)

Answers

Answer:

it would be 2 because 0 can not be added

Step-by-step explanation:

Use PEMDAS to evaluate the expression 8 + 3 x 6 − 12 ÷ 3.

14
16
19
22

Answers

8 + 18 - 12/3 , 8 + 18 - 4 , 18 + 8 , 26-4 = 22

Answer:

22

Step-by-step explanation:

PEMDAS stands for:

Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction

Simplify according to PEMDAS, from left to right

I will bold the parts that I will simplify for each step

8 + 3 x 6 - 12 ÷ 3 =

8 + 18 - 12 ÷ 3 =

8 + 18 - 4 =

26 - 4 =

22

The expression equals to 22

will give brainliest hurry

Answers

Answer:

number 4 and 6

Step-by-step explanation:

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°. Find all possible values of ∠O, to the nearest 10th of a degree.

Answers

Answer:

Answer: 39.7  

 and 140.3  

Step-by-step explanation:

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

We have given that,

In ΔNOP, o = 3.5 inches, n = 3.3 inches and ∠N=37°.

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

We have to determine all possible values of ∠O, to the nearest 10th of a degree.

All possible values of ∠O, to the nearest 10th of a 39.7degrees and 140.3 degrees.

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State the measure of an angle whose complement is 23o

Answers

Answer: 67 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. To find the complement of an angle, subtract it from 90. 90-23=67.

(4.5)x = 26 pls help me with this it is multiplication equations

Answers

Answer:

x=5.7

Step-by-step explanation:

Answer:

x = 5.78

Step-by-step explanation:

(4.5)x = 26

4.5x = 26

x = 26/4.5

x = 5.78


84 km
35 km
What is the length of the hypotenuse?

Answers

Answer:

Hypotenuse is 91 km

Step-by-step explanation:

a² + b² = c²

35² + 84² = c²

1225 + 7056 = c²

c² = 8281

[tex]\sqrt{c^2} =\sqrt{8281}[/tex]

c = 91

HELPP QUICK PLSS :’( BEFORE I HAVE A BREAKDOWN NO BITS NO LINKS OR ANSWERS TO GET POINTS I REALLY NEED THE HELP AND CHOOSE MORE THAN ONE PLSS Which of the following equations describes the line shown below? Check all
that apply.
(-4, 10)
(-7,-5)

Answers

Answer:

a, c, d

Step-by-step explanation:

answers are A, C and D

HELPPP ASAP 10 POINTS

Answers

Answer:

sheesh

Step-by-step explanation:

11/3 can be thought of as a whole number and a fraction.

Complete the statements below to show the number of wholes and the fractional part that make up 11/
3.

Answers

11/3 = 3 2/3 as a mixed fraction or proprr fraction

What is the quotient of the fractions below? 3/5 divided by 2/3?

A. 2/5
B. 10/9
C. 9/10
D. 5/2
HUURRYYY!!!

Answers

Answer:

9/10

Step-by-step explanation:

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