Write the missing number that makes each equation true. Show your work. __ - 4 = 16 - 5

Answer:

Actually, there are two. They are the Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Angles Theorem.

Step-by-step explanation:

POST means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

POAT means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

A quadrilateral has to meet both of these theorems to be a parallelogram.

Answer:

A

Step-by-step explanation:

Angles that form a straight line ( add up to 180 ) are supplementary

angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary

Angles 1 and 7 are congruent angles

so angle 2 = 125

Subtract 125 from 180 = 55

180 - 125 = 55 degrees

Answer:

Step-by-step explanation:

Answer:

I think it would be 12! :)

Step-by-step explanation:

[tex]4 x 3=12[/tex]

3 is the constant/ slope

5 is the y intercept

Answer:

-12≥x

Step-by-step explanation:

-10≥2x+14

-24≥2x

-12≥x

Answer:4.5 cups of sugar

Step-by-step explanation:

Okay so 24 cookies is 2 dozen

1 cup of sugar would be used for every 8 cookies

3 dozen is equal to 36 cookies

36/8=4.5 so you would need 4.5 cups of sugar

Answer:

c

Step-by-step explanation:

Answer:

The smallest angle is 30 degrees, the second angle is 80 degrees and the third angle is 70 degrees

Step-by-step explanation:

let x = the smallest angle

This means that one angle is x+40, and the third angle is 3x-10. This make our equation:

x + 40 + 3x - 10 + x = 180

Combine like terms

5x + 30 = 180

Subtract 30 from both sides

5x = 150

Divide both sides by 5

x = 30

Plugging this in:

3x - 10 =

90 - 10 =

80

And for the other:

x + 40 =

30 + 40 =

70

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=-1[/tex]

Step-by-step explanation:

[tex]3x - 4y = 13[/tex]

[tex]5x + 4y = 11[/tex]

isolate x for 3x-4y=13

[tex]\mathrm{Subsititute\:}x=\frac{13+4y}{3}[/tex]

[tex]\begin{bmatrix}5\cdot \frac{13+4y}{3}+4y=11\end{bmatrix}[/tex]

[tex]\frac{65+32y}{3}=11[/tex]

now isolate y for [tex]\frac{65+32y}{3}=11[/tex]

[tex]\frac{65+32y}{3}=11[/tex]

[tex]65+32y=33[/tex]

[tex]32y=-32[/tex]

Divide both sides by 32

[tex]\frac{32y}{32}=\frac{-32}{32}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}x=\frac{13+4y}{3}[/tex]

[tex]\mathrm{Subsititute\:}y=-1[/tex]

[tex]x=\frac{13+4\left(-1\right)}{3}[/tex]

  [tex]=\frac{13-4\cdot \:1}{3}[/tex]

  [tex]=\frac{9}{3}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3[/tex]

  [tex]=3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,\:y=-1[/tex]

Answer:

-93

Step-by-step explanation:

Step one:

given the expressions

[tex]f(x) = -4x + 7\\\\g(x) = 2x^2 + 5x- 8[/tex]

we want (fog)(-3).

but (fog) is

[tex]f(x) = -4x + 7\\\\\ (fog)=-4(2x^2 + 5x -8) + 7\\\\ (fog)=-8x^2-20x+32+7[/tex]

Step two:

fog(-3)= put x= -3 in (fog)(-3)=-8x^2-20x+32+7

[tex](fog)(-3)=-8x^2-20x+32+7\\\\ (fog)(-3)=-8(-3)^2-20(-3)+32+7\\\\ (fog)(-3)=-8*9+60+32+7\\\\ (fog)(-3)=-72-60+32+7\\\\ (fog)(-3)=-93[/tex]

Answer:

8 x 9.2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation that can be used to solve for 'a' is a/sin35° = 30/sin60°.

A triangle is a three-sided closed-plane figure form by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know sine rule of triangles which states,

a/sinA + b/sinB + c/sinC.

We also know that the sum of all the interior angles in a triangle is 180°.

Therefore, The measure of angle B is 180° - (35 + 85)°.

= 60°.

So, The equation can you use to solve for 'a' would-be,

a/sin35° = 30/sin60°.

asin60° = 30sin35°.

(√3/2)a = 30×0.5735.

a = (30×0.5735)/0.866.

a = 17.205/0.866.

a = 19.87.

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Answer:

15

Step-by-step explanation:

15

According to the solving the work done if the gorilla reaches that height:

= 8400 ft lb.

The work performed by a force is defined as the sum of the displacement and or the component of both the applied force of both the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move more quickly. W = F stands for "work done."

Anytime a force transports something over a distance, work is performed. By multiplying the force by both the distance moved inside this direction of the force, you may determine the amount of energy transferred or work accomplished.

The effort put in by a 350-pound gorilla climbing a 24 foot staircase can be computed as:

(a) t = 10 sec

WF = (350 lb) (24 ft)

= 8400 ft lb (answer)

(b) t = 5 sec

WF = (350 lb) (24 ft)

= 8400 ft lb

work done does not depends on time.

According to the solving the work done if the gorilla reaches that height:

= 8400 ft lb.

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Answer: 307,000

Step-by-step explanation: Since 451 is less than 500, you want to round down.

Answer: 307,000

Step-by-step explanation: A number rounded to "the nearest thousand", must be multiple of 1000. In this case the value would be 306,000 or 307,000, or 308,000 or 309,000, depending on which of these our given number is closest (nearest) to. 307,495 is less than 307,500 , which is the value halfway between 307,000 and 308,000.

We know that f(x) is a positive, decreasing, and concave down function.

Therefore, the order, from least to greatest is:

Answer:

Well if it made sense..

Step-by-step explanation:

Answer:

-0.9

Step-by-step explanation:

it is closer to 0

The distributive property to simplify the expression 7/6 (30 − 18) is (a) 14

From the question, we have the following parameters that can be used in our computation:

7/6 (30 − 18)

When the expression is expanded, we have the following

7/6 (30 − 18) = 7/6 * 30 − 7/6 * 18

Evaluate the products

This gives

7/6 (30 − 18) = 35 − 21

Lastly, we have

7/6 (30 − 18) = 14

Hence the expression when simplified is (a) 14

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Step-by-step explanation:

the median is 4

the mean is 1+2+4+6+4+4/6

21/6=7\2

6.5 the mode is 4

Answer:

[tex]\textsf{Constraint 1}: \quad 15x+10y\geq 1850[/tex]

[tex]\textsf{Constraint 2}: \quad y \leq 5x[/tex]

[tex]\textsf{Constraint 3}: \quad y \geq 65[/tex]

Step-by-step explanation:

Inequality signs:

Given variables:

Given information:

Therefore, the amount earned from mowing the lawns and walking dogs should be more than or equal to $1850:

[tex]\boxed{15x+10y\geq 1850}[/tex]

Given information:

Therefore, Sarah will walk less than or equal to 5 times the number of lawns mowed:

[tex]\boxed{y \leq 5x}[/tex]

Given information:

Therefore, Sarah will walk more than or equal to 65 dogs:

[tex]\boxed{y \geq 65}[/tex]

Answer:

im pretty sure its 27.

Step-by-step explanation:

if g(x) = 20 then the new problem is 20=x-7

20=x-7 . add 7 to both sides

+7=+7 . +7 cancels out the -7

27=x . <<<answer