A recent tornado damaged Jack's house and left it a little distorted. A question on the insurance form asked, "What shape is the house in?" Jack replied, "An irregular convex pentagon. The sum of the measures of the Interior angles of the 5-sided house is 540 find the Value x​

Answer:

x = 6

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then

[tex]3^{-2}[/tex] × [tex]3^{x}[/tex] = 81 , that is

[tex]3^{x-2}[/tex] = [tex]3^{4}[/tex]

Since the bases on both sides are equal, both 3 then equate the exponents

x - 2 = 4 ( add 2 to both sides )

x = 6

Answer:

D

last one

Step-by-step explanation:

Answer:

3x^2+15x-1=0

Step-by-step explanation:

4/(3x+15)=4x

4=12x^2+60x

12x^2+60x-4=0

3x^2+15x-1=0

Please solve after that, I cannot do everything for you

Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.

Answer:

1+1???????? 1+1=2. :/

Answer:

5/12

Step-by-step explanation:

convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer

Answer:

They are similar triangles so the sides are equal

3y-2=y+4

2y=6

y=3

so we can insert y=3 to calculate the side length

3y-2=3*3-2=7=PR side

calculate the perimeter:

4+6+7=17ft

Step-by-step explanation:

Add the lengths.of all sides together

4+6+(3y-2)

= 4+6+3y-2

=8+3y ft

Answer:

base = 10cm and height = 10cm

Step-by-step explanation:

base + height = 20

base = height = 20/2= 10cm

Answer:

y is 3,hmmmmmmmmmmmmmmm......aha! x= 46! hope this helps!

Step-by-step explanation:

Answer:

(-2.5,3) is x1 y1 respectivelly. Apart from this, what part of the question are you struggling with?

Answer:

It must be two

Step-by-step explanation:

Answer:

4000 mg

Step-by-step explanation:

4grams · 1000 = 4000 milligrams

Answer:

4000 mg

Step-by-step explanation:

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

Inequality Form:

( h ≥ -2 ).

Answer:

Refer to the attachment

Answer: -8/15

Step-by-step explanation:

-(2/15)/(1/4)

-[(2/15)/(1/4)]*(4/4)

= (-2/15)*(4/1)

= -8/15

Answer:

The answer is 39.3

Step-by-step explanation:

81.6 - 3 = 78.6

78.6 ÷ 2 = 39.3

~one variable linear equation

4t = -10

t = -10 ÷ 4

t = -2,5 ✔️

So, the answer is -2,5 no 2,5

~ nice to help you ^^

Step-by-step explanation:

no, it does not.

because almost every valid value of x (from -3 to +3) has 2 associated result values of y.

like x = 0 has y = 3 and y = -3.

but for a function there can be only ONE associated y value for every valid x value.

Answer:

0.048

Step-by-step explanation:

Answer:

The answer to 0.15 x 0.32 is 0.048

Answer:

Step-by-step explanation:

Point slope form: y - y1 = m(x -x1)

[tex]y - [-16] = \dfrac{1}{2}(x - [-3] )\\\\y + 16 = \dfrac{1}{2}(x + 3)\\\\\\y + 16 = \dfrac{1}{2}x + \dfrac{3}{2}\\\\y =\dfrac{1}{2}x+\dfrac{3}{2}-16\\\\y=\dfrac{1}{2}x +\dfrac{3}{2}-\dfrac{32}{2}\\\\\\y=\dfrac{1}{2}x - \dfrac{29}{2}[/tex]

Answer:

[tex]y= -\frac12 x +\frac{29}2[/tex]

Step-by-step explanation:

Let's start with the point- slope form:

[tex]y-y_0=m(x-x_0)[/tex]

and replace the values we have

[tex]y-(-16) = -\frac12 (x-(-3))[/tex]

We're almost there, we just need to write it in a better looking form.

[tex]y+16= -\frac12 (x+3)\\y=-\frac12 x - \frac32 + \frac{32}2\\y= -\frac12 x +\frac{29}2[/tex]

Hello!!

(4c+3)(3c−3)

=(4c+3)(3c+−3)

=(4c)(3c)+(4c)(−3)+(3)(3c)+(3)(−3)

=12c2−12c+9c−9

=12c2−3c−9

Answer^

Hope this helps ((brainliest!!!))

Answer:

y= -2x+8

Step-by-step explanation:

the common required form is: y=s*x+i, where s - slope, i - interception.

According to the form and the condition y=-2x+8.

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

Explanation:

Let's check to see if 9/12 is the same as 16/24.

Set them equal to one another, and then use cross multiplication like so

9/12 = 16/24

9*24 = 12*16

216 = 192

Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.

Therefore, 9/12 is not the same as 16/24. We can rule out choice A.

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

Let's check choice B

9/12 = 15/20

9*20 = 12*15

180 = 180

We have a match, so 9/12 is the same as 15/20

Notice how:

Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.

Choice B is the final answer.

Answer:

ok whats the question?

Step-by-step explanation:

Answer:

number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12

Step-by-step explanation:

find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.

Slope = (y₂ - y₁)  ÷  (x₂ - x₁)

          =  (-85 - (-83)) ÷  (-11 - 75)

          =  -2 ÷ -86

          = ¹/₄₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                               ⇒  y - (-83) =  ¹/₄₃ (x - 75)

                               ⇒     y + 83 =  ¹/₄₃ (x - 75)

 I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

Answer:

18.75

Step-by-step explanation:

80 = 100%

1% = 100%/100 = 80/100 = 0.8

the grades changed by 95 - 80 = 15.

how many % is that ?

we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :

15 / 0.8 = 18.75

so, the grades changed by 18.75%.

Answer:

11.25

Step-by-step explanation:

I divided 67.50 by 6 and it got me the answer 11.25

Answer:

Number of Spiders: 8

Number of Dragonflies: 7

Number of Houseflies: 5

Step-by-step explanation:

s= spider

d= dragonfly

h= housefly

Heads:

20= s+d+h

Legs:

136= 8s+6d+6h

Wings:

19= 0s+2d+1h

Solve with substitution.

Divide the second equation by 2.

136= 8s+6d+6h

68= 3d+3h+4s

Set the last equation in terms of d.

19= 0s+2d+1h

d= [tex]\frac{19}{2} -\frac{1}{2}h[/tex]

Substitute what we just found (d) into the first and our new second equation. Simplify.

20= s+d+h

20= s+[tex]\frac{19}{2} -\frac{1}{2}h[/tex]+h

h+2s=21

68= 3d+3h+4s

68= 3([tex]\frac{19}{2} -\frac{1}{2}h[/tex])+3h+4s

3h+8s=79

Take both simplified equations and solve with elimination. Do this by multiplying the top equation by negative 3.

h+2s=21

3h+8s=79

-3h-6s=-63

3h+8s=79

2s=16

s=8

Plug in s=8 into the other equation.

h+2s=21

h+2(8)=21

h=5

Plug in h=5 into the last equation we rewritten.

[tex]d= \frac{19}{2} -\frac{1}{2} h[/tex]

[tex]d=\frac{19}{2} -\frac{1}{2}(5)[/tex]

d=7

(d,h,s)= (7,5,8)