Find the value of X and Y that make these triangles congruent by the HL theorem.

Answer:

I think it's A but I'm not sure

Answer:

Step-by-step explanation:

Segments AB and BC intersect each other at 90° at B.

Let the equation of the segment AB → y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line AB passing through A(14, -1) and B(2, 1)

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

          = [tex]\frac{1+1}{2-14}[/tex]

          = [tex]-\frac{2}{12}[/tex]

          = [tex]-\frac{1}{6}[/tex]

Equation of the line will be,

[tex]y=-\frac{1}{6}(x)+b[/tex]

Since, AB passes through (2, 1)

[tex]1=-\frac{1}{6}(2)+b[/tex]

[tex]b=1+\frac{1}{3}[/tex]

[tex]b=\frac{4}{3}[/tex]

Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]

Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]

Since, line BC is perpendicular to AB,

By the property of perpendicular lines,

[tex]m_1\times m_2=-1[/tex]

Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.

By this property,

[tex]-\frac{1}{6}\times m_2=-1[/tex]

[tex]m_2=6[/tex]

Equation of a line passing through a point (h, k) and slope 'm' is,

(y - k) = m(x - h)

Therefore, equation of line BC passing through B(2, 1) and slope = 6,

y - 1 = 6(x - 2)

y = 6x - 11

Since, line BC passes through C(x, 13),

13 = 6x - 11

6x = 24

x = 4

Therefore, x-coordinate of point C will be, x = 4

Answer:

175 ÷ 12.50 = 14

Step-by-step explanation:

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

  u·v = -4

Answer:

54 (also include units squared as the picture isn't clear)

Step-by-step explanation:

3×3=9 (area of square =l×b)

9×6= 54cm² (since a cube has 6 faces)

Answer:

C=54°

Step-by-step explanation:

If u add each angle of a triangle should ways add up to 180°

Answer:

Step-by-step explanation:

Answer: -2/5

1. Multiply out like using distributive property

3x+6 = 4-2x

2. Now just simplify

5x+6=4

5x=-2

x=-2/5

Answer:

Heyaa!!! Im Pinky! Im here to inform you that your answer is....

Step-by-step explanation:

1st. We need to Distribute:  

      3(+2)=2(2−)

      3+6=2(2−)

Just like That!

2nd. We have to Rearrange terms:

    3+6=2(2−)

   3+6=2(−+2)

3rd. Distribute One Last Time:

       3+6=2(−+2)

      3+6= −2+4

4th. Simplify:

    3=−2−2

5th. Add 2 to both sides of the equation:

      3=−2−2

      3+2=−2−2+2

6th. Simplify:

    5=−2  

7th. Divide both sides of the equation by the same term:

       5=−2

      5/5 = -2/5

8th. Solve:

  x = -2/5

        Have an Amazing day!!

~Pinky~

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

Answer:

B (5; 13)

Step-by-step explanation:

Midpoint (x) = (-1 + bx)/2 = 2

Bx - 1 = 4

Bx = 5

Midpoint (y) = (-3 + By)/2 = 5

By - 3 = 10

By = 13

B (5; 13)

Answer:

(a+b)(a-b)

Step-by-step explanation:

Answer:

Expanded Notation Form:

 630.052 =

 600  

+ 30  

+ 0  

+   0.0

+   0.05

+   0.002

Expanded Factors Form:

   630.052 =

 6 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 5 ×   0.01

+ 2 ×   0.001

Expanded Exponential Form:

 630.052 =

6 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 5 × 10-2

+ 2 × 10-3

Word Form:

630.052 =

six hundred thirty and fifty-two thousandths

Step-by-step explanation:

Answer:

Expanded Notation Form:

630.052 =

600  

+ 30  

+ 0  

+   0.0

+   0.05

+   0.002

Expanded Factors Form:

  630.052 =

6 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 5 ×   0.01

+ 2 ×   0.001

Expanded Exponential Form:

630.052 =

6 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 5 × 10-2

+ 2 × 10-3

Step-by-step explanation:

Answer:

x=3.33

Step-by-step explanation:

2x=x-10

2x+x=10

3x=10

x= 10/3

x= 3.33

Answer:

1. 144.4 m²

2. 120 m³

Step-by-step explanation:

The figure is composed of a triangular prism and a rectangular prism

1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)

✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L

b = 5 m

h = 2 m

s1 = 3.2 m

s2 = 3.2 m

s3 = 5 m

L = 6 m

Plug in the values

Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6

= 10 + (11.4)*6

= 78.4 m²

✔️Area of rectangular prism = 2(LW + LH + WH)

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Area of rectangular prism = 2(6*5 + 6*3 + 5*3)

= 126 m²

✔️Area of the face joining both figures = L*W

L = 6 m

W = 5 m

Area = 6*5 = 30 m²

✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)

= 48.4 + 96

= 144.4 m²

2. Volume of composite figure = volume of triangular prism + volume of rectangular prism

= ½*a*c*h + L*W*H

a = 2 m

c = 5 m

h = 6 m

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Volume = ½*2*5*6 + 6*5*3

Volume = 30 + 90 = 120 m³

Answer:

The answer is in the picture I couldn't type it sorry.

Step-by-step explanation:

Answer:

Number of boxes Trisha pack = 18 boxes

Step-by-step explanation:

Given:

Number of boxes Trisha pack = X

Number of bottles in each box = 12

Total number of bottle = 216

Find:

Number of boxes Trisha pack

Computation:

Total number of bottle = Number of boxes Trisha pack x Number of bottles in each box

216 = X × 12

X = 216 / 12

X = 18

Number of boxes Trisha pack = 18 boxes

Answer:

okkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

Answer:

because l1//l2 => z + 65 = 180

y + 65 = 90

x + 65 = 90

<=> z = 115

y = 25

x = 25

Answer:

x=25

y=25

z=115

Step-by-step explanation:

x congruent to y

180-90-65=25

180-65=115

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

Answer:

729

Step-by-step explanation:

x^2*x^1 = (9)^2 * (9)^1

            = (9)^3

            = 729

Answer:

8.75

Step-by-step explanation:

3.5(2.5)

Answer:

8.75

Step-by-step explanation:

3.5(2.5)

Answer:

No, a 25-year-old job applicant cannot be two standard deviations below the mean

Step-by-step explanation:

There are two frequencies 25 and 65

Mean of the two frequencies = 25+65/2 = 45

Standard deviation =

[tex]\frac{65-25}{\sqrt{12} } \\= 11.55[/tex]

Mean - 2 x standard deviation [tex]= 45 - 2 * 11.55 = 21.9[/tex]

[tex]21.9 < 25[/tex]

Thus, a 25-year-old job applicant cannot be two standard deviations below the mean

Answer:

h^9

Step-by-step explanation:

When divided you subtract exponents 14-5=9

The expression using a single exponent is (d) h^9

From the question, we have the following parameters that can be used in our computation:

h^14 over h^5

This means that

h^14/h^5

Apply the law of indices

So, we have

h^14/h^5 = h^(14 - 5)

This gives

h^14/h^5 = h^9

Hence, the solution is (d) h^9

Read more about expressions at

https://brainly.com/question/30492964

#SPJ6

Answer:

Step-by-step explanation:

First you solve for a: a=(10-2h)/7 which you then plug into "a": (10-2h)/7=10-2h\