In which line did the student make the first mistake? (4 points)
A) line 6
B) line 5
C) line 1
D) line 2

Problem 3

Explanation: The angles opposite the congruent sides, are congruent angles. We consider these the base angles. This triangle is isosceles.

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Problem 4

Explanation:

Refer to the diagram below. Note how I've added in the variable y and marked another angle as 53 degrees which is one of the base angles of the left triangle. The base angles of the triangle on the right are y degrees each. Also, note the vertical angles both are y.

For the left triangle, the three angles add up to 180 which means we can solve for y to go from 53+53+y = 180 to y = 74

Then the interior angles of the triangle on the right has the three angles (y,y,x) add to 180 as well. So we have y+y+x = 180 which turns into 74+74+x = 180. That solves to x = 32

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Problem 5

Explanation:

Refer to the diagram below. I've added another base angle x, and the angle 90-x is complementary to this. This is because the two pieces must add to 90.

For the triangle on the bottom, the two base angles 74 and 74, add to the third angle 90-x and we would get 180. So we solve 74+74+(90-x) = 180 to get x = 58

Answer:

3. x = 47

4. x = 32

5. x = 58

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

They are equal to each other.

23x-5= 21x +5

2x = 10

x = 5

21(5) +5 = 110°

23(5) -5 = 110°

So it works. Angles are 110°

Answer:

Step-by-step explanation:

Y = 3(12x+ 40)

Y is the cost

3 is the number of family members

12 is the per hour rate

40 is the initial charge for each jetski

Y = 36x +120 simplified

Answer:

x=146

Step-by-step explanation:

180-34=x

x=146

Your 2 angles have to add up to 180 degrees

180 - 34 = 146

34 + 146 = 180

x = 146

Answer:

No

Step-by-step explanation:

Because it can be expressed as the quotient of two integers: 88 ÷ 1.

Answer:

No. 88 Is not an irrational number. The reason? It can only be expressed as 88 ÷ 1. Thus resulting in not being a irrational number.

Step-by-step explanation:

Have a great day!!

Answer:

100/500 = 0.2

common ratio is 0.2

Answer:

there are 720 cm in 7.2 meters

Step-by-step explanation:

Answer:

27 sixth graders

Step-by-step explanation:

I got ıt rıght

Answer:

225

Step-by-step explanation:

A rectangle will have the maximum possible area for a given perimeter when all the sides are the same length. Since every rectangle has four sides, if you know the perimeter, divide it by four to find the length of each side. Then find the area by multiplying the length times the width.

Perimeter-(p) Side Length-(s) Width-(w) Length (l)

(p)60 ÷ 4 = (s)15

(l)15 × (w)15 = 225

Area = 225

Step-by-step explanation:

Blue is for physics........

Answer:

B= -3/4

Step-by-step explanation:

there are two points given substitute them in the formula of the slope

Answer:

B.31

Step-by-step explanation:

That's the answer.

Answer:

x = 31

Step-by-step explanation:

By Linear Pair

3x + 31 + 2x - 6 = 180

5x + 25 = 180

5x = 155

x = 31 Answer

Answer:

43

Step-by-step explanation:

you plug in the values

3m^2 + 2p^2 - 15

= 3(3)^2+2(10)^2-15

= 3×9+2×100-15

= 27+200-15

= 227-15

= 212

Just subtitute the value of m and p to the equation

Hope it help u :)

Answer:

Question 1: 12x

Question 2: 16x

Question 3: 12x+8y

Step-by-step explanation:

Answer:

1. A. 12 x

2.A. 16x

3. B. 12+8y

An expression that represents the given calculation is (450 + 348) × 7

The correct answer is an option (B)

"It is a combination of numbers, variables and some mathematical operations."

It is an acronym and it stands for Bracket , Order , Division , Multiplication , Addition and Subtraction .

In this question ,

its been said to first add then multiply

First add 450 to 348

(450 + 348)

now multiply the result with 7

(450 + 348  ) × 7

Therefore, an expression that represents the given calculation is (450 + 348) × 7

The correct answer is an option (B)

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Answer:

168.15

Step-by-step explanation:

100%-> 295

57%->168.15

Answer:

120

Step-by-step explanation:

so we have 16 teams and we are chosing two

so this formula is called the chose formula

and the formula is 16*(16-1)/2!=16*15/2=120

Answer:

hope this helps

Step-by-step explanation:

1/4×3=3/4

1/3×4=1 1/3

1/2×3=1 1/2

now add all the fractions together

Answer:

She used 43/12 or 3 7/12

Step-by-step explanation:

Learned this during math class and this was the exact problem. Have a good day:)

Answer:

3

Step-by-step explanation:

so the scale factor is 10/12= 5/6

5/6=15/x+15

90=5x+75

15=5x

x=3

Answer:

3x + 88

Step-by-step explanation:

Add the numbers

3 + 28 + 60

3 + 88

Solution:

3x + 88

have a good day

119 + 1 + 3 + 5 =            add that if i am wrong sorry but have  a nice day <3

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

a) The circumference of the circle is given by ...

  C = πd

  C = (3.14)(5.5 mi) = 17.27 mi

The distance around the lake is about 17.27 miles.

__

b) The area is given by ...

  A = πr^2 . . . . . where r = d/2

  A = (3.14)(2.75^2) ≈ 23.75 . . . . square miles

The surface area of the lake is about 23.75 square miles.

_____

If you use a more exact value of pi (the "pi button" for example), then the hundredths digit increases by 1 in each case: 17.28, 23.76.

Answer: A rhombus i think

Step-by-step explanation:

Answer:

rhombus

Step-by-step explanation:

.................

Answer:

She can make five bcs she can

Answer:

The first one, "A survey..."

Hope this helps!

Step-by-step explanation:

Answer:

i think the first one I am not sure

Answer:

The answer is -7

Step-by-step explanation:

I took the test! Hope this helps <3

Answer:

The maximum height of the ferris wheel is 64 ft.

The radius of the ferris wheel is 30ft.

Step-by-step explanation:

i took the test :)

True statements are:

'The car makes a complete revolution in 5 s.'

'The maximum height of the Ferris wheel is 64 ft.'

'The radius of the Ferris wheel is 30 ft.'

An amusement ride consisting of a rotating upright wheel with multiple passenger-carrying components attached to the rim in such a way that as the wheel turns, they are kept upright, usually by gravity is called a Ferris wheel. Wheel is of circle shape having axle joint to the rim with spikes.

Given table

Time (seconds) Height (feet)

0                          34

2.5                       64

5                          34

7.5                         4

10                         34

12.5                      64

15                         34

17.5                         4

20                        34

statements,

a) The car makes a complete revolution in 5s,
It's true, because the car reaches at the same height in every 5 seconds.

b) The maximum height of the Ferris wheel is 64 ft,

it's true, because observing the table, maximum height is 64 ft.

c) Radius of the Ferris wheel = 30 feet,

It's true because, the height of the car is 4 feet and it achieves maximum height = 64 feet

Diameter of wheel = 64 - 4 = 60 ft

Radius = 60/2 = 30 ft.

d) If the car is loaded at 0 s, then people are loaded at the lowest point of the Ferris wheel.

It's false because the lowest point is 4 ft. but at 0 second height is 34 feet.

Hence, statements,

'The car makes a complete revolution in 5 s.'

'The maximum height of the Ferris wheel is 64 ft.'

'The radius of the Ferris wheel is 30 ft.'

are true.

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