1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timama [110]
3 years ago
8

The questions are below:

Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

See below in BOLD.

Step-by-step explanation:

<u>The first part:</u>

Applying the Pythagoras theorem to both triangles.

The one on the left:

13^2 = 12^2 + x^2

x^2 = 169 - 144 = 25

x = 5 units.

The one on the right:

x^2 = 5^2 + 12^2 = 169

x = 13 units.

(a) So the 2 shorter sides in the triangles have the same length.

(b) The 3 sides of each triangle have the same length so they are congruent by SSS.

<u>The Second Part.</u>

(a) F. They<u> could be congruent</u> because the angles are all equal but we don't know anything about the lengths of the sides.

(b). C. Congruent. by ASA.  The angles at each side of the line of length 9.2 are equal in measure.

You might be interested in
Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : R_{90} (x,y)=(-y,x)

5. Rotation of 180° : R_{180} (x,y)=(-x,-y).

6. Rotation of 270° : R_{180} (x,y)=(y,-x).

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is R_{90} (x,y)=(-y,x).

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is R_{180} (x,y)=(-x,-y).

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is R_{180} (x,y)=(y,-x).

5 0
3 years ago
Use greatest common factor and distributive property to write equivalent expressions 5x+20y
leonid [27]

Answer:

I think it is 5 if I did it right

S

4 0
2 years ago
Q28. In a sale, the normal price of a book is reduced by 30%. The sale price of the book is £2.80 Work out the normal price of t
lisov135 [29]

Answer:

0.90

Step-by-step explanation:

090. = 0.90

30/2.80

28

00

8 0
3 years ago
What is the slope between the points (3,1) and (4,1)
castortr0y [4]

The answer is 0.........

8 0
3 years ago
Read 2 more answers
Which ratio can you get by scaling up the ratio 5/6 / 1/3? Select all that apply.
Liula [17]

Answer:

the answer is 5/2 or alternative form 2*1/2 so the answer is C

3 0
3 years ago
Read 2 more answers
Other questions:
  • If the length of the side PQ is 5 inches, what are the possible lengths of the other two sides?
    8·1 answer
  • 8r-5q=3, solve for q
    12·2 answers
  • melina walked 9/12 mile day dor 5 days. what was the total distance in 32 miles, she walked in the 5 days?
    10·1 answer
  • Find the missing part.
    10·2 answers
  • the function y=3.28x converts length from x meters to y feet Im really stuck im not real sure what to do
    12·1 answer
  • Please help me with this question. image attached.
    6·1 answer
  • Which of the following inequalities is equivalent to 5 &gt; x?
    10·1 answer
  • Help pleasssss Order the following numbers from least to greatest.<br> 0.58 0.28 1/2
    6·2 answers
  • On an airplane there are two seats on the left side and three seats on the right side there are 90 Seats o the right side of the
    10·1 answer
  • A 2-ft vertical post casts a 16-in. shadow at the same time a nearby cell phone tower casts a 120-ft shadow. How tall is the cel
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!