In triangle QRS the measure of angle RSQ is 50 degrees , and the measure of angle QRS is 37 degrees. What is the measure of angle SQR in degrees?

Answer:

4) -11.3...

Step-by-step explanation:

distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)

move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))

simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...

Answer:

option 4

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides

[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]

Multiply through by 30, the LCM of 6, 3, 15, 5

5x - 40 = 8x - 6 ( subtract 8x from both sides )

- 3x - 40 = - 6 ( add 40 to both sides )

- 3x = 34 ( divide both sides by - 3 )

x = - [tex]\frac{34}{3}[/tex] = - 11.333..

Problem 1 (on the left)

[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]

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Explanation:

The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.

Here are 3 important rules to have in your notes:

[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]

The third rule is probably the most familiar as it's the pythagorean theorem itself.

In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.

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

Problem 2 (on the right)

[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]

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Explanation:

We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.

In ∆ABD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]

In ∆BCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]

Now

IN PARALLELOGRAM ABCD

[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]

Option A

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

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

Step-by-step explanation:

that means he gets 25% of the sales.

he sold 235 dozen roses for $15.50 per dozen.

so, the total sales was

235 × 15.5 = $3,642.50

100% = $3,642.50

25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)

Answer:

Organising the outdoor video surveillance

Step-by-step explanation:

See he is a manager.

Answer:

x=(-79/12) or -6 7/12

Step-by-step explanation:

12x+91=12

     -91   -91

12x=-79

(12x/12)=(-79/12)

x=(-79/12) or -6 7/12

Answer:

The answer is B

Step-by-step explanation:

[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]

Answer:

1/3 part of 120 hours....

Answer:

hope it helps.

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Answer:

Reflected along x axis

Translated 7 units to the right

Step-by-step explanation:

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Hope that's better

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5

Answer:

$49.297

Step-by-step explanation:

21.5% x 3

divide answer by $76.43

leaves you with how much interest you have earned in 3 months.

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

Answer:

m∡r = 35°

m∡t = 145°

m∡u = 35°

m∡v = 90°

m∡w = 125°

Step-by-step explanation:

m∡r = 180-(134+11)

= 180 - 145

m∡r = 35°

m∡r + m∡t = 180°

35 + t = 180

m∡t = 145°

m∡t + m∡u = 180°

145 + u = 180

m∡u = 35°

m∡u + m∡v + 55° = 180°

35 + 55 + m∡v = 180

m∡v = 90°

m∡w + 55° = 180°

m∡w  = 125°

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Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.

Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]

[tex]8-3 = 5[/tex]

[tex]9-3 = 6[/tex]

= [tex]\frac{5}{6}[/tex]

Hope this helps.

Answer:

3x+8+5x+12

8x+20=180

A. 80+20=100 No

B. 120+20=140 No

C. 160+20=180 Yes

D. 200+20=220 No

The Answer is C

Hope This Helps!!!

Answer:

x = 20

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8

5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is

5x + 12 + 3x + 8 = 180

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Answer:

Lets just say we are finding the halfway point is very needful because; it means that we can find the amount of flour used for 1 while egg.

We are told there is a need to find the Number that is halfway between 1 and 1½.

Step-by-step explanation:

Answer:

Gordon types 68 words per minute

Step-by-step explanation:

2584/38=68

Answer:

x=-23

Step-by-step explanation:

Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.

Therefore, x must be equal to -23.

Answer:

A(1) = 5

A(4) = 5.5

A(10) = 6.5

Step-by-step explanation:

An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;

Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;

So:

A(1) = 5 + ⅙((1) - 1) = 5

A(4) = 5 + ⅙((4) - 1) = 5.5

A(10) = 5 + ⅙((10) - 1) = 6.5

Answer:

y= -10x-24

Step-by-step explanation:

To write the linear equation, first find the slope.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let's pick the first two x and y values as our coordinate points.

(1, -34) (2, -44)

[tex]\frac{-44-(-34)}{2-1} =-10[/tex]

The slope is -10.

Use the point-slope formula to write the equation.

y-y1= m(x-x1)

y-(-34)= -10(x-1)

y+34= -10x+10

y= -10x-24

Answer:

$4.5 for one taco

Step-by-step explanation:

18 divided by 4

The division is a process of splitting a specific amount into equal parts.

The equation to find the cost of each taco truck is 4x = 18.

The cost of each taco truck is $4.5.

The division is a process of splitting a specific amount into equal parts.

Example:

5 apples cost $60.

Cost of each apple = 60/5 = $12.

We have,

Total amount spend = $18

Number of taco trucks where $18 was spent = 4

Let the cost of each taco truck = x

The equation to find the cost of each taco truck can be written as:

4x = 18

We need to find x.

x = 18/4

x = $4.5

Thus the cost of each taco truck is $4.5.

Learn more about division here:

https://brainly.com/question/28639260

#SPJ5

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

For more details refer to the link given below.

https://brainly.com/question/13148696

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation: