How can this expression be written another way?
12k + 32
Factor using the distributive property and the greatest common factor to write an equivalent expression.
Enter your answer by filling in the boxes.

Answer:

Unable to be determined.

Step-by-step explanation:

AA postulate : 2 corresponding angles that are congruent.

SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.

SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.

This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.

Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.

Therefore, we cannot determine if the triangles are similar or not.

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

Learn more on tables and values here: https://brainly.com/question/12151322

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Given:

A right angle triangle ABC, right angled at C.

To find:

The measure of θ.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

In triangle ABC,

[tex]\tan \theta=\dfrac{AC}{BC}[/tex]

[tex]\tan \theta=\dfrac{2.7}{5}[/tex]

[tex]\tan \theta=0.54[/tex]

It can be written as

[tex]\theta=\tan^{-1}0.54[/tex]

[tex]\theta\approx 28.369[/tex]

Therefore, the measure of θ is 28.369.

Answer:

i'm doing the same question but i think it is a right triangle but in a different position.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

173 divided by 3 =57.6666667. So i estimated it to 60

this is the correct answer

Answer:

80°

Step-by-step explanation:

According to angles rule,

100° + x = 180° [linear pair]

=> x = 180°-100°

=> x = 80°(Ans)

Answer:

(1/2) {ad - cb}  both expressions

Step-by-step explanation:

Notice that the area of the triangle in question can be calculated as the area of the larger right angle triangle OSQ MINUS the area of the smaller right angle triangle OPR, and MINUS the area of the trapezoid RSQP.

Given the coordinates of the given points, the formulas for area of triangles and of trapezoid, we have the following area subtractions:

1/2 (a + c) (b +d) - 1/2  a* b - 1/2  c (b + b + d)=

= (1/2) { ab + ad + cb + cd - ab - 2 cb -cd } =

= (1/2) {ad - cb}

On the other hand the matrix expression is giving you 1/2 of the determinant of the given matrix  such determinant is: ad - cb

Then we see that the equality is correct since (1/2) of the determinant is also :

(1/2) {ad - cb}

Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

To learn more about inequality equations click :

https://brainly.com/question/11897796

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Answer:

Step-by-step explanation:

b

Answer:

C

Step-by-step explanation:

A shows the range of numbers greater than 1, not including 1 (the circle on the number 1 is empty, meaning 1 isn't included - when it's filled in then 1 is included).

B shows the range of numbers less than 1, not including 1.

C shows the range of numbers less than and including 1.

D shows the range of numbers greater than and including 1.

'≤' means 'less than or equal to'

We're looking for the range of numbers less than and including 1: C

Answer:

the area of square is 2^(8/9) sq. inches.

Step-by-step explanation:

Answer:

x + gh = -11

Step-by-step explanation:

x + gh

= -3 + 4(-2)

= -3 + (-8)

= -11

Answer:

- 11

Step-by-step explanation:

= -3+4x-2

=-3+ (-8)

= -3-8

=-11

Answer:

x/8=26

X= 168

Step-by-step explanation:

brainlist me plz

Answer:

X=3.25

Step-by-step explanation:

X•8+6=32

      -6   -6

X•8=26

8÷8=26÷8

X=3.25

Check your answer by pluging it in like this

3.25•8=26+6=32

Hope this helps and if it does please mark me brainlist.

Answer:

v = 10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

I hope I was able to help you out today! If you have any questions about my answer and how I got it, ask me! If you think my answer was helpful hit that thanks button. And give me a rating to I know how I did! If you would like my help in the future with any of your math, science or history questions, add me as a friend so I actively check out your profile! Have a great day!

Answer:

v = 10

Step-by-step explanation:

8(v +1) = 88

8v + 8 = 88 (Distribute)

   - 8     - 8   (Subtract)

8v = 80  (Divide)

v = 10

Hope this helps :)

Answer:

B

Step-by-step explanation:

Because I multiplied 4 times 3.

Answer:

1/12

Step-by-step explanation:

3 / 1/4=1/12 another way to find the answer is to do 3/1 x4/1 u will get the same answer :)

and part b is b

Answer:

30% i think so yea......

Answer:

68

Step-by-step explanation:

130% × Y = 88.40

Y = 88.40 ÷ 130%

Y = 68

Checking...

68 × 130% = 88.40

Sorry it so long to respond. I just learned how to calculate it myself.

Answer:

150

Step-by-step explanation:

To solve this problem, first start setting up the equation.

Start with bob first - this is the easiest. Let x = bob

To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24

Combine these parts:

x + (2x + 24)

Combined they have $150, so you would set the equation above equal to 150

x + (2x + 24) = 150

Combine like terms:

3x + 24 = 150

Solve the equation for x

3x   +   24   =   150

      -   24         -24

3x               =   126      isolate x by itself on one side of the equation

divide both sides by 3 to get x by itself

3x    =    126

3              3

x    =   42

Now that you have solved for x, you know the amount that bob has... $42

With this information you can substitute 42 for x in the equation that was created for susie

2x + 24   would now by (2*42) + 24  which is $108

So, the amount that bob has is $42 and susie has $108

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

Hope this helps!!!

Answer:

i am kinda unsure butfirst do 2x divided by 3 and go from there

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

first we take the square root of the top and bottom:

[tex]\frac{\sqrt{72} }{\sqrt{16} }[/tex]

The denominator is 4. The numerator is harder to solve. To solve, we need to look at the factors of 72.

72= 8 * 9. This means that [tex]\sqrt{72} =\sqrt{8} *\sqrt{9} \\[/tex]

We know that the square root of 9 is 3, so now we have

[tex]\frac{3\sqrt{8} }{4}[/tex]

We're almost done!

Since 8= 2*4, and the square root of 4 is 2,

[tex]\frac{3*2*\sqrt{2}}{4}[/tex]

last, we simplify and get

[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

Yes, SAS.

Step-by-step explanation:

For my education system, there isn't such thing as SAS, ASA or etc. I just had to search it up what it was.

Congruent angles are angles with the same shape and size. The two triangles are congruent if you look carefully, after that I searched up and saw the different rules of triangles. I think that SAS might be the correct answer.

Answer:

10

Step-by-step explanation: