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Gnom [1K]
3 years ago
12

Can anyone help me with this

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

D

Step-by-step explanation

I'd say it's PQR and TSR cause they match up in terms of the order of vertexes, and then you've got the angles of P and T that are in the middle of PR and TR, which are equal, and the sides PQ and TS. The angles are in between the sides.

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Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?
Liula [17]

Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

7 0
3 years ago
Am I correct? If not which of the answers is correct?
Ivahew [28]
I believe you are correct
5 0
3 years ago
Can u help me i dont het it please help me thanks
Darina [25.2K]
It’s 60.1 do 956.4/15.9
5 0
3 years ago
Which of the following are equivalent to 5 4/6 ?
liraira [26]
17/3 most likely it depends on what was needed
5 0
3 years ago
The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
SOVA2 [1]

For this case we have a function of the form:

y = A * (b) ^ x

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

b = 2

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

2 = A * (2) ^ 1

Clearing A we have:

2 = A * 2

A = \frac{2}{2}\\A = 1

Then, the function is given by:

y = 1 * (2) ^ x

For after 9 hours we have:

y = 1 * (2) ^ 9\\y = 512

Answer:

the diameter of the bacteria after 9 hours is:

y = 512

6 0
2 years ago
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