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Gwar [14]
3 years ago
12

Question:

Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0
A) The vertices of the ABCD square are:

(2,2), (1(4), (3,5), and (4,3).

The reflection over the x-axys keeps the same x-coordinate and changes the y-coordinate ot its negative.

So, the vertices of the square A'B'C'D' are:

(2,-2), (1,-4), (3,-5), and (4,-3).

You can see the figure attached showing the four vertices.

<span>B. Is AB congruent to A'B'? Explain

Answer:

Yes, they are congruent. You can affirm that because reflections are transformations that do not change either sizes or angles, but keep them, so the two squares are congruent.

C. Is the area of ABCD ≈ area of A'B'C'D'? Explain.

Answer:

Yes, the two areas are equal since you have shown that the two figures are congruent.
</span>

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A boat heads north at 30 mph while a steamer heads east at 40 mph at the same time. When is the distance between them 50 mi?
Vera_Pavlovna [14]

let t = time (hrs) that they are 50 mi apart

Use pythag here; a^2 + b^2 = c^2; dist = speed * time

(30t)^2 (40t)^2 = 50^2

900t^2 + 1600t^2 = 2500

It's obvious that t = 1 hr

7 0
3 years ago
A clothing store has a section of jeans on sale. There is a 30% chance of picking a pair with a 30-inch inseam; a 25% chance of
Andrej [43]

The expected value of the inseam length of the jeans is found as

30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40

= \frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40

= 9+8+3.4+3.6+3.8+6=33.8

Hence, the third option 33.8 is the correct expected value.

3 0
3 years ago
If you’re good at geometry solve these 2 please
gizmo_the_mogwai [7]

Answer:

13.

Let us say

first angle be = 4x -10

second angle = x

now add them to 90 as complementary angles add up to 90

4x - 10 + x = 90

5x - 10 = 90

5x = 90+10

5x = 100

x = 100/5

x = 20

the first angle = 4x -10

                       = 4(20) -10

                       = 80 -10

                       = 70

the second angle = x

                             = 20

the angles are 70 and 20

8 0
2 years ago
How well can you apply Boyle’s law to this sample of gas that experiences changes in pressure and volume? Assume that temperatur
emmasim [6.3K]

Answer:

A = 1.0 L

B = 0.50 atm

C = 0.60 atm

D = 4.0 L

Step-by-step explanation:

According to the Boyle's law, the volume of a gas is inversely proportional to its volume. If we consider an initial state (1) and a final state (2):

P₁ × V₁ = P₂ × V₂

A

P₁ × V₁ = P₂ × V₂

1.5 atm × 2.0 L = 3.0 atm × A

A = 1.0 L

B

P₁ × V₁ = P₂ × V₂

1.5 atm × 2.0 L = B × 6.0 L

B = 0.50 atm

C

P₁ × V₁ = P₂ × V₂

1.5 atm × 2.0 L = C × 5.0 L

C = 0.60 atm

D

P₁ × V₁ = P₂ × V₂

1.5 atm × 2.0 L = 0.75 atm × D

D = 4.0 L

4 0
3 years ago
Read 2 more answers
ali's tyre pressure gauge shows a reading witch is 8 % lower than the actual pressure when the gauge shows 33.58
Rama09 [41]

Answer:

the actual pressure is 31.09

Complete question:

What is the actual pressure when Ali's gauge shows 33.58

Step-by-step explanation:

Given,

Ali's tyre presser gauge show a reading 8% higher than the actual pressure.

Ali's gauge shows 33.58.

Let the actual pressure be x.

According to problem,

 x\times\frac{108}{100} =33.58 { [If 8% increasing  of a no ⇒ The number becomes =                      (\frac{100+8}{100})of the number}

x= \frac{33.58\times100}{108}

x=31.09

Therefore, the actual pressure is 31.09

5 0
3 years ago
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