The sum of two consecutive integers is - 163. Find the two integers.

Answer:

9

Step-by-step explanation:

So the little arrows on the lines means they are equal to each other so if you look, A to D and B to C have only one arrow meaning those two lines are the same lines

and A to B and D to C have two arrows meaning those two lines are the same

so that means if A to B is 9 and it's equal to the line D to C, then D to C is also 9

Hopefully this wasn't too confusing

Answer:

mCD = 9

Step-by-step explanation:

Because this polygon has opposite parallel sides, meaning each side across from each other are parallel, we know that this is a parallelogram. So:

AB ║ DC

BC ║ AD

Because this is a parallelogram, we know that, from the properties parallelograms, opposite sides of a parallelogram are congruent. This means that AB ≅ DC.

This also means that because AB = 9 and AB = DC, DC = 9.

Here's a mini two-column proof:

Statements     →     Reasons

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

mAB = 9     →     Given

AB ║ DC, BC ║ AD      →     Given

ABCD is a parallelogram      →     Definition of a Parallelogram

AB ≅ DC      →     Opposite sides of a parallelogram are congruent.

mAB = mDC      →     Definition of Congruent Segments

9 = mDC      →     Substitution Property of Equality

mCD = mDC      →     Reflexive Property of Equality

mCD = 9     →     Substitution Property of Equality

Answer:

In similar figures, the angles are congruent, even if the sides are not. Notice that one angle in each pair of figures corresponds to an angle in the other figure. They have the same shape but not the same size

Answer:

16

Step-by-step explanation:

10÷5/8=16

Answer:

16

Step-by-step explanation:

To solve problems where a fraction is being divided, we use a reciprocal of the fraction, which means that you flip the fraction upside down and multiply by the other number. So for this problem, the opposite of 5/8 is 8/5, so we need to multiply that by 10.

10*8/5

80/5

16

Hope this helped you out!! Have an awesome day （￣︶￣）↗　

Answer:

Step-by-step explanation:

Use the property of 30-60-90 degree right triangles

They have the ratio of  sides from smallest to greatest: 1: √3 : 2

The top triangle

The bottom triangle

Acute angles n and 2n makes them 30° and 60°

Answer:

x = 1/2*2√3 = √3

y = √3*√3 = 3

Answer:

A

Step-by-step explanation:

Answer:

7/1

Step-by-step explanation:

A reciprocal means you flip the numerator and the denominator (the top number and the bottom number) so In this case the reciprocal for 1/7 s 7/1.

Hope I could help!

Answer: is 4:2 ratio and 3:5

-3,5 is negative and 2,4 positive

Step-by-step explanation:

Answer: -3z+173

Step-by-step explanation:

[tex]-3z+17-(-152)-(-4)\\\\-3z+17+152+4\\\\\boxed{-3z+173}[/tex]

Answer:

80km/h

Step-by-step explanation:

(160KM/H) / (2H) = 80 KM

Answer:

80km/h

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

45

Step-by-step explanation:

Because the ratio of seaguls to other birds is 1:1 you can expect half of the birds to be seaguls. Divide 90 by 2

Answer:

The alternate hypothesis is:

[tex]H_{a} < 16[/tex]

Step-by-step explanation:

There are two types of hypothesis. The null hypothesis and the alternate hypothesis. The null hypothesis is that the mean found is equal to the expected value. The alternate hypothesis is a question about this expected value(different, more, less)

A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore.

This means that the null hypothesis is [tex]H_{0} = 16.4[/tex]

Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis

Dying down means lower average peak, that is, lower than the average of 16.4. This means that the alternate hypothesis is:

[tex]H_{a} < 16[/tex]

Answer:

value of x

(8x+7)°=(9x-4)°

vertically opposite angles are equal

8x°-9x°=-4°-7°

-x°=-11°

divide both sides by -1° don't counsel negative

x=11

value of Y

5y°=(7y-34)°

vertically opposite angles are equal

5y°-7y°=34°

-2y°=34°

divide both sides by-2° don't counsel negative

y=17

Answer:

Homework i d k

Step-by-step explanation:

Answer:

I think 220.8

  Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

CCCCCCCCCCCCCCCCCCCCCC

Answer:

x= 27

Step-by-step explanation:

Answer:

1/13

Step-by-step explanation:

This is like 7 - 6 since the denominator is the same.

Answer:

4

Step-by-step explanation:

To find the number you have to reverse the equation

Let us call the number "x"

x + 9 = 13

So to find x we flip the equation

13 - 9 = x

Solve it

4 = x

So the missing number is 4

Answer:

d

Step-by-step explanation:

=-4

Which expression is equivalent to -11 - (-7)?

Answer

D. -11 + 7

Answer:

B

3(x^2−3)(x^2+4)

Step-by-step explanation:

i pinky promise

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

9514 1404 393

Answer:

  part A: D Marina

  part B: A Anna

Step-by-step explanation:

If you're not that familiar with these fractions and their equivalents, you can always compare them using their least common denominator: 24.

  Joseph: 1/3 = 8/24

  Anna: 1/6 = 4/24

  Elvin: 3/12 = 6/24

  Theo: 1/4 = 6/24

  Marina: 5/8 = 15/24

Then the ordering from least-to-greatest is ...

  Anna, {Elvin, Theo}, Joseph, Marina

Part A

  Marina reached the greatest fraction of the goal.

Part B

  Anna reached the least fraction of the goal.

Answer:

f(x) - g(x) = 7x^4+2x^2-3x-10

Step-by-step explanation:

f(x) = 10x^4 + 2x^2 +1

g(x) = 3x^4 +3x +11

f(x) - g(x) =  10x^4 + 2x^2 +1 - ( 3x^4 +3x +11)

Distribute the minus sign

f(x) - g(x) =  10x^4 + 2x^2 +1 - 3x^4 -3x -11

Combine like terms

f(x) - g(x) = 7x^4+2x^2-3x-10

Answer:

15 + 2 x X = -25

Step-by-step explanation:

subtract 15 from both sides

2 x X = -40

divide two from both sides

X = -20

Answer: 5/12

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

We are going to change both number so they have the same denominators.

1/4x3/3= 3/12

2/3x4/4=8/12

Once we changed the number we are going to subtract the numbers.

8/12-3/12=5/12

We can't simplify 5/12 so the answer is 5/12.  

Answer:

It’s b

Step-by-step explanation:

You can plot the points on the graph to test them out . B was the only one that made a rectangle

Answer:

45180cm

Step-by-step explanation:

You have to multiply the amount of shells by the length on one shell to get the length of all of them combined so, 2510 multiplied by 18 is 45180.