Find the greatest common factor of 20 and 32.
A. 11
B. 8
C. 4
D. 2

Answer:

BAC = 58, CAD = 32

Step-by-step explanation:

The angle of BAD is 90 degrees, this is represented by the red outline of a square. This means that adding angles BAC and CAD will equal 90.

15x - 2 + 7x + 4 = 90

Combine common terms

22x + 2 = 90

Solve for x

22x = 88

x = 4

Now you can plug x into the equation for each angle to find its value.

Angle BAC

15x - 2 = 15(4) - 2 = 60 - 2 = 58 degrees

Angle CAD

7x + 4 = 7(4) + 4 = 28 + 4 = 32 degrees

===========================================

Explanation:

You have the right idea, but keep in mind that it says consecutive even integers. So we're only looking at numbers like 2,4,6,8,... and these numbers must follow one right after another. If that "even" wasn't there, then your answer and steps would be 100% correct.

If x is an even number, then x+2 is the next even number, and x+4 is the one after that.

Add them up to get

(x)+(x+2)+(x+4)

x+x+2+x+4

(x+x+x)+(2+4)

3x+6

Then divide by 3 to compute the average

(3x+6)/3

3x/3 + 6/3

x+2

Set this average equal to 48 and solve for x

x+2 = 48

x = 48-2

x = 46 is the smallest number

x+2 = 46+2 = 48 is the middle value

x+4 = 46+4 = 50 is the largest

Note how the middle value is exactly the average. This is because we have symmetry going on here.

It's similar to how the average of the set {1,2,3} is 2 since 2 is in the middle.

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

Check:

add the values: 46+48+50 = 144

divide by three: 144/3 = 48

The average of the set {46,48,50} is 48

This confirms the answer

Answer:

*gives help*

:)

Step-by-step explanation:

Answer:

c the vertex

Step-by-step explanation:

hope this helps!

Answer:

x = 4 CAN I HAVE BRAINEST PLZ

Step-by-step explanation:

3x + 8 = 13x - 8x (collect like terms)

3x + 8 = 5x (subtract 3x on both sides)

8 = 2x (divide by 2 on both sides)

4 = x

CHECK

3(4) + 8 = 13(4) - 8(4)

12 + 8 = 52 - 32

20 = 20

Answer:

a = 5

Step-by-step explanation:

3 (a + 3) + 6 = 30

Use the distibutive property to multiply 3 by a + 3

3a + 9 + 6 = 30

Add 9 and 6 to get 15

3a + 15 = 30

Subtract 15 from both sides

3a = 30 - 15

Subtract 15 from 30 to get 15.

3a = 15

Divide both sides by 3.

a = 15/3

Divide 15 by 3 to get 5

a = 5

x would equal 2...

Step-by-step explanation:

true.

Answer:

Yes, you are correct.

Step-by-step explanation.

We will flip the question.

11 - 9 = x

is the same as.

11 - 9 = 2...

________________________________________________________

So... x = 2.

Answer:

The answer is A i think.

Step-by-step explanation:

Im taking the test lol.

Answer:

The answer is 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean = sum of variables/sample size

Sum of variables = 5+8+18+1+14+6+8+13+8+19

Sum of variables = 100

Sample size = 10

Mean = 100/10

Mean = 10

Median is the value at the centre after rearrangement.

On rearrangement

1,5,6,8),8,8,(13,14,18,19

Median = 8+8/2

Median = 16/2

Median = 8

Mode is the value with the highest frequency. The value that occur the most. From the datas, the mode is 8 since it occurred 3 times.

Answer:

-5, -2, -1

Step-by-step explanation:

Inequalities

The question provides us with two conditions:

D+5≥-1

D+5≤4

Solve the first inequality. Subtract 5 to both terms:

D≥-1-5

D≥-6

Solve the second inequality. Subtract 5 to both terms:

D≤4-5

D≤-1

We must find three numbers that comply with both conditions, i.e. it must be greater or equal -6 and less or equal than -1. Any integer number in the interval [-6,-1] solves the problem. We select the following list:

-5, -2, -1

Answer:

that looks hard! gl :)

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

Answer:

130 points

Step-by-step explanation:

Answer:

130 points

Step-by-step explanation:

Answer:

Use a proportion::

time/dist = time/distance

t/1.5 = 1/30

t = 1.5/30

t = 15/300

t = 1/20 = 5/100 = 0.05

So A-0.05 is the final answer

Step-by-step explanation:

ik this was 3 yrs ago

Answer:

Step-by-step explanation:

odd functions are those function in which  

-f(x) = f(−x)  

if the function is odd , the graph of function is symmetrical about origin.

_________________________________________________

In the given problem

option B is correct answer

B) f(x) = 8x

replacing x with -x to satisfy the above described condition

f(-x) = 8(-x) = -8x

as we know 8x is equal to f(x)

f(-x) = -8x = -f(x)

hence,

f(-x) = -f(x)

hence, option B is correct answer.

Answer:

[tex]\frac{x}{5} < -9[/tex]

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

that is a negative slope

but dont know how to find the slope sorry

Step-by-step explanation:

[tex]\tt Step-by-step~explanation:[/tex]

Remember: To find the slope, we use the equation Rise/Run.

[tex]\tt Step~1:[/tex]

Let's find the rise first. Rise = How many units it goes up/down We can count down 6 units from the origin. Our rise is - 6.

[tex]\tt Step~2:[/tex]

To find the run. we count left/right. We could count 8 units. Our run is 8.

The slope is negative because it slopes downwards. If the slope is positive, then the line would be rising up.

[tex]\tt Step~3:[/tex]

To find the slope, we use the formula rise/run.

[tex]\tt \frac{-6}{8}=-\frac{3}{4}~or~ -0.75[/tex]

[tex]\large\boxed{\tt Our~final~answer:~m=-\frac{3}{4}~or~-0.75;~Negative~slope}[/tex]

Answer: -8m^5+10m^4+9m^3-16m^2+5m

Step-by-step explanation:

I had this question on a recent test and got it right

Hope this helps! :)

Answer:

The correct answer is:

-8m^5+10m^4+9m^3-16m^2+5m

Step-by-step explanation:

I got it right on the Edmentum test.

Answer:

1/4

Step-by-step explanation:

4 blocks have been picked, but just one wasn't looked at, therefore only that one has the letter.

Answer:

(-162)/7 or -23 1/7 as a mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer: (-162)/7

Answer:

[tex]E=3.97\times 10^{-27}\ \text{ergs}[/tex]

Step-by-step explanation:

It is given that,

The sun produces [tex]3.9\times 10^{33}\ \text{ergs}[/tex] of radiant energy per second.

We need to find how many ergs of radiant energy does the sun produce in [tex]1.55\times 10^7\ s[/tex].

Energy produced in 1 seconds = [tex]\dfrac{1}{3.9\times 10^{33}}\ \text{ergs}[/tex]

In [tex]1.55\times 10^7\ s[/tex], energy produced is :

[tex]E=\dfrac{1}{3.9\times 10^{33}}\times 1.55\times 10^7\ \text{ergs}\\\\=3.97\times 10^{-27}\ \text{ergs}[/tex]

Hence, the radiant energy produced in 1 second is [tex]3.97\times 10^{-27}\ \text{ergs}[/tex].

Answer:

Part A: It is given that,

The sun produces 3.9x10^33 ergs of radiant energy per second.

We need to find how many ergs of radiant energy does the sun produce in 1.55 x 10^7 s

Energy produced in 1 seconds =  1/3.9 x 10^33 ergs

In 1.55 x 10^7 s energy produced is : E=3.9/10^33 x 1.55 x 10^7 ergs

= 3.97 x 10^-27 ergs  

In conclusion the radiant energy radiated per second 3.97 x 10^27 ergs

Step-by-step explanation:

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

complementary angles are angles that equal to 90º 

so let's add the terms (from angles A & B) and set them equal to 90º

3x+2 + x-4 = 90

4x -2 = 90

add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms

4x = 92

divide both sides by 4

x=23

We're not done though, we must plug in our x value to Angle A terms and Angle B terms.

(3(23) + 2)º = measure of Angle A            (solve for both of them)

(23-4)º =  = measure of Angle B

3(23) + 2 =

3(23) = 69 (add the 2)

71º is measure of angle A

23-4 = 19º

19º is measure of angle B

double-check

71+19 = 90º

It works

Answer:

71º is measure of angle A

19º is measure of angle B

Step-by-step explanation:

Answer:

y=3/5x-2

Step-by-step explanation:

The slope is already given, 3/5 so just plug it in to the base formula y=mx+b

And the coordinate (0,-2) is your y-intercept. So plug in -2 to b

Therefore y=3/5x-2

Answer:

648

Step-by-step explanation:

[tex]3^4 \cdot 2^3 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 2 \cdot 2 \cdot 2 = 81 \cdot 8 = 648[/tex]

Answer:

648

Step-by-step explanation:

Step 1:

First, make an equation:

3⁴ · 2³

Step 2:

Then, simplify both factors:

3⁴ = 81

2³ = 8

Step 3:

Finally, multiply the numbers together:

81 · 8

And you will get 648.

Answer:

acd

Step-by-step explanation:

edg 2021

A reflection only, a rotation and a reflection and a translation and a reflection are the transformations that would map ΔJKL onto Δ QPR.

What is Congruency

Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we can determine whether the two triangles are congruent.

Rule of Congruency:

1- SAS (Side-Angle-Side): Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.

2- ASA (Angle-Side-Angle): Two triangles are congruent if two triangles and the included side of one triangle are equal to two angles and the included side of the other triangle.

3- AAS (Angle-Angle-Side): Two triangles are congruent if any two pairs of angles and one pair of corresponding sides are equal.

4- SSS (Side-Side-Side): If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

5- RHS (Right angle- Hypotenuse-Side): If in two right triangles the hypotenuse and one side of one triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

Since JK= QP
KL= KR
Angle LKJ= Angle QRP

So Δ LKJ ≅ Δ QRP.

Learn more about Congruency here
https://brainly.com/question/2102943

#SPJ10

Answer:

The coach paid $69 on the three soccer balls

Step-by-step explanation:

If the coach bought 3 soccer balls for 26$, minus the $7 on each, plus the $4 tax on each, the expression would be:

3 × (26 - 7 + 4)

We put the addition and subtraction in parentheses because of PEMDAS. PEMDAS say we must solve for whatever is in the parentheses first, then exponents (there are none in the expression), ans then multiplication. If those numbers were not in parentheses, the answer would look completely different as we would multiply before subtracting and adding. We must find the total amount each ball cost first:

26 - 7 + 4 = 23

Each ball cost $23

If the coach bought 3 balls for $23 each, we have to multiply the two numbers:

3 × $23

$69

Answer:

√52 units

Step-by-step explanation:

Here we want to find the distance between two points;

O(0,0) and A (4,6)

We can use the distance formula to find this;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(4-0)^2 + (6-0)^2

D = √(16 + 36)

D = √52

So the distance between the two points is √52 units

Answer:

-9/3

Step-by-step explanation:

Answer:

i think it's congruent .

Step-by-step explanation:

Answer:

complementary i believe

Step-by-step explanation:

smoovin

Answer:

The answer is C

Step-by-step explanation: