Ling tried to solve an equation step by step.

-2q + 11 = -32

-2q = -43 Step 1

q= 21.5. Step 2

Find Ling's mistake.

Step 1
Step 2​

Answer:

1: Because all lines on a rectangle never touch so it is a parallelogram. But all sides of a square don't touch either, so that's also a parallelogram. So not all parallelograms are rectangles since squares are also parallelograms

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. All internal angles of a rectangle are 90° while the internal angles of a parallelogram may differ

2. A quadrilateral just means anything with 4 sides (quad meaning 4 and lateral meaning sides) and it is 2-dimensional with straight sides.

Therefore, the trapezoid and isosceles trapezoid are quadrilateral

a) A quadrilateral must have a pair of parallel sides to be classified as a trapezoid.

b) A quadrilateral must have the left and right side to be of equal length and the base angles equal to be classified as an isosceles trapezoid

I hope this answers your questions correctly

[tex]\longrightarrow{\green{ \: - 3 \: (b - ac)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: - 7b - 9ac + 4b + 12ac[/tex]

➼[tex] \: - 7b + 4b - 9ac + 12ac[/tex]

➼[tex] \: - 3b + 3ac[/tex]

➼[tex] \: - 3 \: (b - ac)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

the mistake they made was the wrong offset from point (0,0) into the y direction. the incline of the line was correct.

the correct equation is y = 1/2×x - 2, because this line contains both points (4,0) and (0,-2)

Step-by-step explanation:

we are looking for a line equation

y = a×x + b

the 2 points give us 2 equations to solve for the 2 variables a and b :

0 = a×4 + b

-2 = a×0 + b

=> b = -2

=> -b = a×4, => a = -b/4 = 2/4 = 1/2

so, the right equation for the line going through both points is

y = 1/2×x - 2

the difference to the original equation is simply the offset from the x- axis in the y direction.

the original equation would be parallel to the correct equation but hit the y-axis at (0,4) instead of (0,-2), and it would hit the x-axis at (-8,0) instead of (4,0)

Answer:

A. It increased both her intensity and her workout time.

Step-by-step explanation:

A. It increased both her intensity and her workout time.

B. It decreased her intensity but increased her workout time.

C. It increased her intensity but decreased her workout time.

D. It decreased both her intensity and work out time

Last week = 4 miles per day

This week = 5 miles per day

Intensity refers to how hard one exercises.

Workout time refers to how long one exercises the body.

By adding a mile, she has increased how hard she exercises her body (intensity))

And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day

Area of triangle + rectangle

= 1/2× 9×4 + 9×6

= 18+ 54

= 72

Answer:

72 units²

Step-by-step explanation:

A(Triangle) = 1/2(9)(4) = 18 units²

A(Rectangle) = 9(6) = 54 units²

A(Figure) = 18 + 54 = 72 units²

Answer:

[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

Step-by-step explanation:

Step 1:

Let us figure out the measurements of all the angles first. We are given one angle of 45º, and another of 90º. The angles of a triangle must add up to 180º, hence we can use basic addition and subtraction to find the last angle.

[tex]\angle=180-90-45\\\angle=45[/tex]

Great our angle is 45º! Notice something...?

Step 2:

We now have two 45º angles in our triangle. This means we have an isosceles triangle.

According to BATh (base angle theorem), in an isosceles triangle, the angles opposite the congruent sides are congruent. Thus, y is congruent to the given side of [tex]3\sqrt2[/tex].

y=[tex]\fbox{3\sqrt{2}}[/tex][tex]3\sqrt2[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

Question 12: Find the slope from these two points: (-3,-3) and (-4,-8)

The formula for finding the slope from two points is attached to this answer.

So if we plug in our values that correspond to the formula we get the following:

First pair: -3 is our x1, -3 is our y1,

Second pair: -4 is our x2, -8 is our y2

-8--3/-4--3

-8+3/-4+3

-5/-1=5, Our slope is 5 for question 12

Question 18: Find the area of a circle with a diameter of 31.

Area=[tex]\pi r^2[/tex]

So we have [tex]15.5^{2} \pi[/tex]

240.25 times 3.14 is 754.385, if we round to the nearest whole number we receive 754 as our answer for question 18

Question 21: Find the measurement of a missing leg in a right triangle when given the hypotenuse and another leg

We know that the hypotenuse is 8cm and one of the legs is 5cm

the formula would be [tex]a^{2} +b^{2}= c^{2}[/tex] for the hypotenuse but this can be used to find the missing legs as well.

[tex]5^{2} +b^{2} =8^{2}[/tex]

[tex]25+b^{2} =64[/tex]

Subtract 25

[tex]b^{2} =39[/tex]

b would equal 6.44 something but the question said to round to the nearest whole number which would be 6.

Question 23: Find the volume of a cone

Radius: 10, height: 7

Formula to find the volume of a cone: 1/3 times 3.14 times r^2 times the height

1/3 times 3.14 times 10^2 times 7

1/3 times 3.14 times 700

1.046 (the 46 is repeating) repeating times 700

732.06 repeating, the 6 is repeating.

The question also asks us to round to the nearest whole number so the answer to question 23 would be 733

Question 26: Find the volume of a sphere

Radius is 6 and pi is 3.14

Formula: [tex]4\pi \frac{r^3}{3}[/tex]

So we have 4 times 3.14 times 6^3 divided by 3

4 times 3.14 times 108/3

4 times 3.14 times 36

12.56 times 36

452.16, I didn't see this answer listed on your worksheet, so please correct me if I'm wrong

Question 47: Probability of a number cube rolled many times to see how many times an even number is rolled.

Since this is a standard number cube there must be 6 sides, therefore half the numbers are even so

65 * 2 = 32.5, which rounds up to 33

33 is our answer to question 47

Hope I helped, have a nice day :)

Answer:

20

Step-by-step explanation:

GF = 3

HF = 9

GE = 14

HG = 9 - 3 = 6

6 + 14 = 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

1,200 one decimeter pieces can be cut

Step-by-step explanation:

Find how many 1 decimeter pieces can be cut by converting the 120 meters to decimeters.

In 1 meter, there are 10 decimeters.

So, convert 120 meters to decimeters by multiplying it by 10:

120(10)

= 1,200

So, there are 1,200 decimeters in the strip. This means that 1,200 one decimeter pieces can be cut, since 1,200 divided by 1 is 1,200.

So, 1,200 one decimeter pieces can be cut

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

Answer:

A

Step-by-step explanation:

−2(x+9)=−1(x+−1)+2

Use distributive property

-2x - 18 = -1x + 1 +2

-2x - 18 = -1x + 3

      +18         +18

-2x = -1x +21

+1x    +1x

___________

-x = 21

we need to have a positive x so multiply x by -1. -x times -1 = x

What we do on the left side has to happen to the right side too

So, 21 times -1 = -21

Therefore, x = -21

Hope this helps :)

Answer:

the answer is c

Step-by-step explanation:

l

Answer:

None

Step-by-step explanation:

Step 1: Write all the equations in the form y=mx+c, where m represents the gradient.

Notably, the equations are in that form already.

Step 2: Compare which equation have same value of m

In our case, none, hence no parallel lines

Answer:

Step-by-step explanation:

3x^5+6x^3

=3x^3(x^2+2)

Answer:

[tex]3x^{2} (x^{2} +2)[/tex]

Step-by-step explanation:

Factor [tex]3x^{3}[/tex] out of [tex]3x^{5}[/tex] [tex]+[/tex] [tex]6x^{3}[/tex]

Answer:

The same as

Step-by-step explanation:

When writing coordinates₋₋also known as "points" on a coordinate plane₋₋you write it as (x point,y point) more simply written as (x,y).

So in both tables, you can see that there are several coordinates listed. Each with the same format (x,y).

If you compare the two tables, you can see that the numbers in the (x,y) position are the exact same for corresponding coordinates.

Now you can conclude what the answer is:

The x-coordinates in Table A are the same as the x-coordinates in Table B.

Answer:

30 squares would be next in sequence

Step-by-step explanation:

each block of squares are adding as many as it takes to make an L around the previous square

Answer:

D. Cubes feet

hope it's right:))

Answer:

should be feet and 3 which is cubed feet D

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin 32 degree = x/48

0.529*48 = x

25.392 = x

x = 25.4 (after converting to the nearest tenth)

tan 62 degree = 25/x

1.88 = 25/x

x = 25/1.88

x = 13.29

x = 13.3 (after converting to the nearest tenth)

Step-by-step explanation:

system of Linear Equations 2 variables

hamburger = x

fries = y

Stefan

3x + 4y = $26.5

Nancy

4x + 2y = $29.5

elimination

3x + 4y = $26.5 | ×1 |

4x + 2y = $29.5 | ×2 | -

3x + 4y = $26.5

8x + 4y = $59. -

-5x = $-32,5

x = $-32,5 ÷ -5

x = hamburger = $6.50

I hope this help

Answer:

46,213,300 km

Step-by-step explanation:

46,213,267

in the above number ;

7 = units

6 = tens

2 = hundred

3 = thousand

1 = ten thousand

2 = hundred thousand

6 = million

4 = 10 million

to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero

because  6 is greater than 5, add one to the hundred value

= 46,213,300 km

Answer: You are correct. The answer is B) 118 degrees

Nice work.

To get this answer, you simply subtract the given angle from 180

180-62 = 118

This is because angles RSU and UST are supplementary, as they form a straight line.

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

Answer:

x = 12

Step-by-step explanation:

Angle 1 = 8x - 17

Angle 2 = 5x + 19

These are congruent which means they are the same so the equation is:

8x - 17 = 5x + 19

3x - 17 = 19

3x = 36

x = 12

Answer:

last option is correct

Step-by-step explanation:

8x-17=5x+19(being corresponding angles)

8x-5x=19+17

3x=36

x=36/3

x=12

Answer:

5

Step-by-step explanation:

If you multiply each side by 5 to get 42:30 then subtract 42 by 30, 12 is leftover.

Answer:

The numbers should be 42 and 30

Step-by-step explanation:

Okay, so the equation should be:

7x - 5x = 12

2x = 12

x = 6

and find the numbers:

7 x 6 = 42

5 x 6 = 30

Answer:

The answer is -1

Step-by-step explanation:

-[(5-8)+12] ÷ 9

-[-3+12] ÷ 9

[3-12] ÷ 9 {becoz (- × + = -) (- × - = +)}

-9 ÷ 9

-1

Hope this may help you to solve these problems ☺

Answer:

The correct answer is - 6 hours 24 minutes.

Step-by-step explanation:

Given:

Clock A - The short hand points just after 2 and the long hand points to the third tick mark after 2 = 2'O clock and thirteen minutes.

Clock B - The short hand points about halfway between 8 and 9 and the long hand points to the second tick mark after 7 = 8'O clock and 37 minutes.

Solution:

The time difference between two clocks can be calculated by subtracting the time of clock A from the time of clock B.

time passed = 8'O clock and 37 minutes - 2'O clock and thirteen minuts

= 6 hours and 24 minutes.