Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:Which statement best compares the lengths of the sides of the two figures?

Length of AB = Length of C′D′
Length of CD = Length of A′B′
Length of CD = Length of B′C′
Length of AB = Length of A′B′

Answers

Answer 1

Answer: Hello,
I suppose the picture of A is A', of B is B'.
|AB|=|A'B'|
Rotations keep the distances.

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Do arthetic sequence have a common ratio?

Answers

Answer:

yes

Step-by-step explanation:

its called the common ratio because it is the same to each number or common and it also is the ratio between two consecutive numbers in the sequence

Answer:

points

Step-by-step explanation:

Hopefully y'all can help me on this

Answers

Find the area of one triangle ( half base times height ) and times it by the height of the prism. (12x9=) 108m. 108m is your answer.

What is the value of x?

Answers

the answer is 4 hoped i helped you

In a 30 60 90 triangle, the ratio of the length of the side opposite to the 30 angle to the length of the side opposite the right angle is always 1/2.
1/2 of 8 is 4

Find the area of ABC if the area of PRT=24 mm^2

Answers

Given:

$\triangle ABC\sim\triangle PRT$

As the triangles are similar, the corresponding sides are proportional

$(AC)/(PT)=(BC)/(RT)$

Given: AC = 15, BC = 12 , PT = 6

$\begin{gathered} (15)/(6)=(12)/(RT) \n \n RT=(6\cdot12)/(15)=4.8 \end{gathered}$

We will find the area of the triangle ABC using the following ratio:

$\frac{Area\triangle\text{ABC}}{Area\triangle\text{PRT}}=(0.5\cdot AC\cdot BC\cdot\sin C)/(0.5\cdot PT\cdot RT\cdot\sin T)$

The angle C is congruent to the angle T

So, substitute with the given values:

$\begin{gathered} (Area\triangle ABC)/(24)=(15\cdot12)/(6\cdot4.8)=(180)/(28.8)=6.25 \n \n Area\triangle\text{ABC}=24\cdot6.25=150 \end{gathered}$

So, the answer will be:

The area of ΔABC = 150 mm²

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups

Answers

The correct answer is:

t ≥ 158.33, or rounded, t ≥ 160.

Explanation:

The equation we're given is
W = -0.414t + 129.549, which an be written as
-0.414t + 129.549 = W.

We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups. Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549

Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)

4.5.11Mohamed wrote the paragraph proof to show that ADEG AEFG. What mistake did he make?
ADEG and AEFG are right triangles.
The figure shows DE = EF, AND
EG EG by the Reflexive Property.
Therefore, by the HL theorem,
ADEG AEFG
G
X Х
Choose the correct answer below.
O A. The two triangles are congruent by SAS, not the HL Theorem.
O B. In AEFG, EF is a leg and in ADEG, DE is the hypotenuse, so they cannot be corresponding sides.
O C. The two triangles are congruent by SSS, not the HL Theorem.
OD. In AEFG, EG is a leg, and in ADEG, EG is the hypotenuse, so they cannot be corresponding sides.