Find x. Round to the nearest tenth if needed.

Answers

Answer 1

Answer:

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

Answer 2

Answer:

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

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Solve the system of equations. \begin{aligned} & -9x+4y = 6 \\\\ & 9x+5y=-33 \end{aligned} −9x+4y=6 9x+5y=−33

Answers

Answer:

x = -2

y = -3

Step-by-step explanation:

We can use either substitution or elimination for this problem. I will use elimination to solve this problem:

Step 1: Eliminate x by adding the 2 equations together

9y = -27

y = -3

Step 2: Plug in y into one of the original equations to get x

-9x + 4(-3) = 6

-9x -12 = 6

-9x = 18

x = 2

And we have our final answers!

At a concession stand, seven hot dogs and two hamburgers cost $16.25; two hot dogs and seven hamburgers cost $17.50. Find the cost of one hot dog and the cost of one hamburger.

Answers

The cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.

Let x be the cost of one hot dog and y be the value of one hamburger. we will set up a system of linear equations to solve for x and y:

From the first statement, we recognize that:

7x + 2y = 16.25 ----(1)

From the second statement, we know that:

2x + 7y = 17.50 ----(2)

We will use both substitution or elimination method to solve this system of equations. let's use elimination method right here. we are able to multiply equation (1) through 7 and equation (2) by 2 to eliminate y:

49x + 14y = 113.75 ----(3)

4x + 14y = 35 ----(4)

Subtracting equation (4) from equation (3), we get:

45x = 78.75

Dividing each sides by using 45, we get:

x = 1.75

Substituting x = 1.75 into equation (1), we can solve for y:

7(1.75) + 2y = 16.25

12.25 + 2y = 16.25

2y = 4

y = 2

Consequently, the cost of 1 hot dog is $1.75 and the cost of 1 hamburger is $2.

Learn more about system of linear equations:-

brainly.com/question/13729904

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6. Jefferson has $30,000 property damage insurance and comprehensive/collision insurance with adeductible of $1,000. He crashes into a house causing $40,000 damage to the house. Jefferson's car needs
$4,500 worth of repairs? How much will Jefferson have to pay total to fix the house and his car?

Answers

Answer: Since Jefferson has a $1,000 deductible on his comprehensive/collision insurance, he will have to pay the first $1,000 of his car repairs himself. The insurance will cover the remaining amount, which is $4,500 - $1,000 = $3,500.

For the damage to the house, Jefferson's property damage insurance will cover up to $30,000. Since the damage to the house is $40,000, Jefferson will have to pay the difference out of his own pocket. The amount he will have to pay is $40,000 - $30,000 = $10,000.

Therefore, the total amount Jefferson will have to pay to fix the house and his car is $1,000 + $3,500 + $10,000 = $14,500.

Step-by-step explanation:

In the equation y = -2x + 5, what is the average rate of change (slope)?a. 5
b. 2
c. -2x
d. -2

please explain

Answers

Answer:

-2

Step-by-step explanation:

Slope = -2

y= Mx+b M= slope
y=-2x+b. -2 is in the m spot

Please I really need help can you help me

Answers

Answer:

first one:

f(x) approches -∞

we can see clearly in the graph that the function is decreasing toward infinity

second one:

f(x) approches 1

we can that y=1 represents an asymptote

f(x) is growing toward 1 without reaching it

If you can simplify this equation to the final stage I will reward you!! Try you're best!! I will not give my points to people that don't deserve them :)

Answers

k = -18

you can solve for k by simplifying both sides of the equation, then isolating the variable.

k=9 soo got 9 by adding 6 and 8 which equals 14 then i thought 14 minus what equals 5 and got 9 which is the answer for k.

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Please help meeee, its due today