which property does each equation demonstrate?

Answer: 75°

Step-by-step explanation:

Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:

x + 5 + 3x + 3x = 180

simplify

7x + 5 = 180

subtract 5 from both sides

7x = 175

divide each side by 7

x = 25

plug 25 in for x to find the angle measure

3(25) = 75

The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).

The lengths of sides AC and AB are congruent.

Angle CAB = (x + 5) degrees.

Angle ABC = (3 x) degrees.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:

⇒ x + 5 + 3x + 3x = 180

Rearrange the likewise terms and apply the arithmetic operation,

⇒ 7x + 5 = 180

Subtract 5 from both sides of the above equation,

⇒ 7x = 175

Divide both sides by 7 of the equation,

⇒ x = 25

Since Angle ∠ABC is (3 x) degrees.

Substitute the value of x = 25 to find the angle measure

⇒ Angle ∠C = 3(25) = 75°

Therefore, the measure of angle ∠C would be 75 degrees.

Learn more about congruent triangles here:

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Answer:

2 6 10

Step-by-step explanation:

Answer:

y = 2/3x + 12

Step-by-step explanation:

Parallel means the same slope.

Using point-slope formula, you can find the new equation.

y-14 = 2/3 (x-3)

y-14 = 2/3x - 2

y = 2/3x + 12

Answer: A. 343.08

Step-by-step explanation:

with the property tax rate and monthly tax payment is what were looking for

Answer:

50+4=54 and you can't add a number with a letter to th number that doesn't so it is 54+3x.

Step-by-step explanation:

Answer:

54+3x

Step-by-step explanation:

Hope this helps! Have a nice day!

Answer:

(4x-5)(x-2)

Step-by-step explanation:

factors of 10: 1,10, &2,5

factors of 4: 1,4 &2,2

(4x-5)(×-2)

Answer:

20.31%

Step-by-step explanation:

a) Construct a binomial distribution.

P = nCx* p%5Ex%2Aq%5E%28n-x%29 p= .8 and q = .2  and n = 8

b) Find the

mean = np = 8%2A.8+=+6.4

variance = npq = 6.4%2A.2+=+1.28

standard deviation of the probability distribution.sqrt%281.28%29

c) P(x = 6) = 28+%2A%28.8%29%5E6%28.2%29%5E2 =  .2936  or 29.36%

d) P(x < 6) = 1 - P(x = 8) - P(x = 7) - P(x = 6)

           =  1 - .1678 - .3355 - .2936  = .2031   or 20.31%

HOPE THIS HELPS PLZ MRK BRAINLIEST

Answer:

No. 1,284 is not 9% of 16,496

Step-by-step explanation:

9% of 16,496

9/100 × 16496

1484.64

1284 is not 9% of 16,496

Answer:

43.01m^2

Step-by-step explanation:

[tex]A=\frac{1}{4} \sqrt{5(5+2\sqrt{5}) } a^2\\[/tex]

This is the formula for a pentagon

Answer:52.2in

Step-by-step explanation:

Did it on a test and got it correct

Answer:

(0,-21)

Step-by-step explanation:

The x value of a y intercept is always 0

So we can plug in 0 to the equation to solve for the y intercept

(2*0-3)(3*0+7)

-3*7= -21

y intercept: (0,-21)

Answer:

-21

Step-by-step explanation:

f(x)=(2x-3)(3x+7)

The y intercept is when x=0

f(0) = (0-3) (0+7)

     -3*7

    -21

The y intercept is -21

Answer:

6,291÷3=2,097

Hope this helped :)

the answer is 2,097

Step-by-step explanation:

6,291 divided bt 3= 2,097

Answer:

12

Step-by-step explanation:

the range is = maximum value given - the minimum value given

the data is spread from 0 -12. that means that someone either had 0 pencils or any other number of pencils to 12.

the range would then be 12 - 0.

Answer: 16

Step-by-step explanation:

Plug 2 in for x.

5^2-3^2

25-9= 16

Answer:

16

Step-by-step explanation:

[tex]5^{x}[/tex]-[tex]3^{x}[/tex] x=2

[tex]5^{2}[/tex]=25

[tex]3^{2}[/tex]=9

25-9=16

Answer:

-1/21

Step-by-step explanation:

2/3 + -5/7

Get a common denominator of 21

2/3 *7/7 = 14/21

-5/7*3/3 = -15/21

14/21 - 15/21 = -1/21

Answer:

-1/21

Step-by-step explanation:

2/3 + (-5/7)

2/3 - 5/7

Lcm: 21

(2×7 - 5×3)/21

(14 - 15)/21

-1/21

Answer:

1.

(0,6)

(-1,6)

(3,12)

2.

(0,4)

(-1,6)

Step-by-step explanation:

The rule for the first question is y = 2x + 6

We can substitute the numbers for each equation.

6 = 2(0) + 6

6 = 6

So (0,6) is correct.

4 = 2(-1) + 6

4 = 4

So (-1,4) is correct as well.

-4 = 2(-1) + 6

-4 ≠ 4

(-1,-4) is incorrect.

12 = 2(3) + 6

12 = 12

So this answer is correct as well.

The second question‘s rule is that y = 4 - 2x. So we can substitute the numbers.

2 = 4 - 2(-1)

2 ≠ 6

This is incorrect.

4 = 4 - 2(0)

4 = 4

This answer is correct.

6 = 4 - 2(-1)

6 = 6

This answer is correct as well.

6 = 4 - 2(1)

6 ≠ 2

This answer is incorrect as well.

Answer:

72

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

My sister is getting ready to prepare, I would say 1100 it means you are above.

Step-by-step explanation:

Your answer will be 10m.

We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.

a² + b² = c²

(6)² + (8)² = c²

36 + 64 = c²

100 = c²

10 = c

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

Answer:

V_rectangular_box = width x height x length

V = V_big_one + V_small_one

  =  (1/3)x(1/4)x(5/8) + (1/6)x(1/4)x(1/4) = 1/16 (ft3)

Answer:

fjdjdkhfidkfjsidmi

Step-by-step explanation:

irufusidjf9sodf8wpud8dkdhd8idhddh

Answer:

28 degrees

Step-by-step explanation:

Answer:

4-8-12-16-20-24-28 so 28

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I added all the numbers for both trucks and I got 800 on both of them.

Answer:

27 cups

Step-by-step explanation:

(3 quarts = 12 cups) (5 pints = 10 cups) (plus 5 cups) = 27 total

Answer:

11/12

Step-by-step explanation:

1

3

(

11

4

)

=(

1

3

)(

11

4

)

=

(1)(11)

(3)(4)

=

11

12

(Decimal: 0.916667)

PLease mark me brainllest!!!

The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]

We have to multiply these two in fractions

So,

[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]

Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]

Learn more about fraction here: https://brainly.com/question/17748421

Answer:

4

Step-by-step explanation:

Answer:

it’s 76 ft squared

Step-by-step explanation:

happy to help:)

Answer:

area is 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

the slope for the line :3x+y=5 is : -3 because you can write  y = -3x+5

the equation is : y= -3x-7

the line  passes through (-1,-4) ( because when x=-1  y=-3(-1)-7 =3-7=-4)  and parallel to the line 3x+y=5 have same

slope : -3  

Answer:

5 sqrt(3)

Step-by-step explanation:

Since this is a right triangle

sin theta = opposite side/ hypotenuse

sin 60 = x /10

10 sin 60 = x

10 sqrt(3) /2 =x

5 sqrt(3) =x

Answer:

5√3

Step-by-step explanation:

The sine function ties together the information at hypotenuse = 10, opposite side = x and angle of elevation = 60 degrees:

sin 60 degrees = opp side / hypotenuse  =  x/10.

Therefore, x = 10 sin 60 degrees = √3/2, and so x = 10√3/2  =  5√3  (equal to the third answer choice).